// footnotes
xBookUtils.terms['discostat3e-fn1-ch08-1'] = 'Fuel Economy Guide: Model Year 2014. www.fueleconomy.gov/feg/pdfs/guides/FEG2014.pdf.';
xBookUtils.terms['discostat3e-fn2-ch08-2'] = 'Kevin Crowley et al., “Parents explain more often to boys than girls during shared scientific thinking,” Psychological Science 12 (3, 2001): 258-61.';
xBookUtils.terms['discostat3e-fn3-ch08-3'] = 'U.S. Energy Information Administration, 2005.';
xBookUtils.terms['discostat3e-fn4-ch08-4'] = 'Florida Department of Financial Services, 2011.';
xBookUtils.terms['discostat3e-fn5-ch08-5'] = 'National Weather Service, 2011.';
xBookUtils.terms['discostat3e-fn6-ch08-6'] = 'George Miller, “The magical number seven, plus or minus two: some limits on our capacity for processing information. 1956.,” Psychological Review 101 (2, 1994): 343-52.';
xBookUtils.terms['discostat3e-fn7-ch08-7'] = 'Mary H. Ward et al., “Proximity to crops and residential exposure to agricultural herbicides in Iowa,” Environmental Health Perspectives 114 (6, 2006): 893-97.';
xBookUtils.terms['discostat3e-fn8-ch08-8'] = 'Irene Yen et al., “Perceived neighborhood problems and quality of life, physical functioning, and depressive symptoms among adults with asthma,” American Journal of Public Health 96 (5, 2006): 873-79.';
xBookUtils.terms['discostat3e-fn9-ch08-9'] = 'Gary Bennett et al., “Television viewing and pedometer-determined physical activity among multiethnic residents of low-income housing,” American Journal of Public Health 96 (9, 2006), 1681-85.';
xBookUtils.terms['discostat3e-fn10-ch08-10'] = 'Adapted from A. Johnson, “Results from analyzing metals in 1999 Spokane River fish and crayfish samples,” Quantitative Environmental Learning Project, Washington State Department of Ecology report 00-03-017. www.seattlecentral.edu/qelp/sets/021/021.html.';
xBookUtils.terms['discostat3e-fn11-ch08-11'] = 'www.vgchartz.com, April 1, 2011.';
xBookUtils.terms['discostat3e-fn12-ch08-12'] = 'See Note 3.';
xBookUtils.terms['discostat3e-fn13-ch08-13'] = 'See Note 4.';
xBookUtils.terms['discostat3e-fn14-ch08-14'] = 'See Note 11.';
xBookUtils.terms['discostat3e-fn15-ch08-15'] = 'See Note 5.';
xBookUtils.terms['discostat3e-fn16-ch08-16'] = 'http://blogs.wsj.com/corporate-intelligence/2013/07/26/starbucks-talks-about-its-future-more-food-more-digital/.';
xBookUtils.terms['discostat3e-fn17-ch08-17'] = 'Christopher Reynolds, “Prey tell,” American Demographics 25 (8, 2003): 48.';
xBookUtils.terms['discostat3e-fn18-ch08-18'] = 'www.gallup.com/poll/146885/Positivity-Optimism-Norm-Thriving-States.aspx.';
xBookUtils.terms['discostat3e-fn19-ch08-19'] = 'Couples, the Internet, and Social Media. www.pewinternet.org/2014/02/11/couples-the-internet-and-social-media, February 2014';
xBookUtils.terms['discostat3e-fn20-ch08-20'] = 'Mildred Cho and Lisa Bero, “The quality of drug studies published in symposium proceedings,” Annals of Internal Medicine, 124 (5, 1996): 485-89.';
xBookUtils.terms['discostat3e-fn21-ch08-21'] = 'http://biomassmagazine.com/plants/listplants/biomass/US.';
xBookUtils.terms['discostat3e-fn22-ch08-22'] = 'See Note 3.';
xBookUtils.terms['discostat3e-fn23-ch08-23'] = 'See Note 4.';
xBookUtils.terms['discostat3e-fn24-ch08-24'] = 'See Note 11.';
xBookUtils.terms['discostat3e-fn25-ch08-25'] = 'See Note 21.';
var MathJaxMap = {};
MathJaxMap['math_1'] = 'x¯=∑xn=85+55+67+68+255=60';
MathJaxMap['math_2'] = '67.5 inches ±1 inch';
MathJaxMap['math_3'] = '(66.5 inches, 68.5 inches).';
MathJaxMap['math_4'] = 'interval 67.5 inches ±1 inch (see the figure in the margin)';
MathJaxMap['math_5'] = '(lower bound, upper bound)';
MathJaxMap['math_6'] = 'α=1−confidence level';
MathJaxMap['math_7'] = '−Zα/2<x¯−μσ/n<Zα/2';
MathJaxMap['math_8'] = 'x¯−Zα/2(σ/n)<μ<x¯+Zα/2(σ/n)';
MathJaxMap['math_9'] = 'P(x¯−Zα/2(σ/n)<μ<x¯+Zα/2(σ/n))=1−α';
MathJaxMap['math_10'] = 'lower bound=x¯−Zα/2(σ/n)upper bound=x¯+Zα/2(σ/n)';
MathJaxMap['math_11'] = 'x¯±Zα/2(σ/n)';
MathJaxMap['math_12'] = '(lower bound, upper bound)';
MathJaxMap['math_13'] = 'lower bound=x¯−Zα/2(σ/n)upper bound=x¯+Zα/2(σ/n)';
MathJaxMap['math_14'] = 'lower bound=510−1.645(118/25)=471.2upper bound=510+1.645(118/25)=548.8';
MathJaxMap['math_15'] = 'point estimate± margin of error E';
MathJaxMap['math_16'] = 'point estimate± margin of error E =x¯±E =x¯±Zα/2(σ/n) =510±38.8';
MathJaxMap['math_17'] = 'lower bound=x¯−Zα/2(σ/n)upper bound=x¯+Zα/2(σ/n)';
MathJaxMap['math_18'] = 'lower bound=20.71−1.645(5.637/100)≈20.71−0.93=19.78upper bound=20.71+1.645(5.637/100)≈20.71+0.93=21.64';
MathJaxMap['math_19'] = 'lower bound=23.838, upper bound=30.037';
MathJaxMap['math_20'] = 'point estimate±margin of error=x¯±E';
MathJaxMap['math_21'] = 'lower bound=20.71−1.645(5.637/100)≈20.71−0.93=19.78upper bound=20.71+1.645(5.637/100)≈20.71+0.93=21.64';
MathJaxMap['math_22'] = 'point estimate±margin of error =x¯± Zα/2(σ/n) =20.71±0.93';
MathJaxMap['math_23'] = 'E=Zα/2(σ/n)';
MathJaxMap['math_24'] = 'E=Zα/2(σ/n)=1.645(5.637/100)≈0.93';
MathJaxMap['math_25'] = 'E=Zα/2(σ/n)=1.28(5.637/100)≈0.72';
MathJaxMap['math_26'] = 'E=Zα/2(σ/n)=1.645(5.637/400)≈0.46';
MathJaxMap['math_27'] = '(lower bound, upper bound)=(482.28,537.72)';
MathJaxMap['math_28'] = 'width=upper bound−lower bound';
MathJaxMap['math_29'] = 'width=537.72−482.28=55.44';
MathJaxMap['math_30'] = 'E=margin of error=width/2=55.44/2=27.72';
MathJaxMap['math_31'] = 'E=margin or error=(upper bound−lower bound)/2';
MathJaxMap['math_32'] = 'E=(Zα/2)(σ/n)';
MathJaxMap['math_33'] = 'n(E)=(Zα/2)σ';
MathJaxMap['math_34'] = 'n=((Zα/2)σE)';
MathJaxMap['math_35'] = 'n=((Zα/2)σE)2';
MathJaxMap['math_36'] = 'n=((Zα/2)σE)2';
MathJaxMap['math_37'] = 'n=(1.96⋅50001000)2=96.04';
MathJaxMap['math_38'] = 'lower bound=x¯−Zα/2(σ/n)upper bound=x¯+Zα/2(σ/n)';
MathJaxMap['math_39'] = 'E=Zα/2(σ/n)';
MathJaxMap['math_40'] = 'point estimate±margin of error';
MathJaxMap['math_41'] = 'n=[(Zα/2)σE]2';
MathJaxMap['math_42'] = 'Z=x¯−μσ/n';
MathJaxMap['math_43'] = 'x¯−μs/n';
MathJaxMap['math_44'] = 't=x¯−μs/n';
MathJaxMap['math_45'] = 'lower bound=x¯−tα/2(s/n), upper bound=x¯+tα/2(s/n)';
MathJaxMap['math_46'] = 'x¯±tα/2(s/n)';
MathJaxMap['math_47'] = '(lower bound, upper bound)';
MathJaxMap['math_48'] = 'lower bound=x¯−tα/2(s/n), upper bound=x¯+tα/2(s/n)';
MathJaxMap['math_49'] = 'lower bound=185.9−(2.947)(56.8/16)=185.9−41.8=144.1,upper bound=185.9+(2.947)(56.8/16)=185.9+41.8=227.7';
MathJaxMap['math_50'] = 'lower bound=185.9−(2.576)(56.8/16)=185.9−36.6=149.3,upper bound=185.9+(2.576)(56.8/16)=185.9+36.6=222.5';
MathJaxMap['math_51'] = 'E=tα/2·(sn)';
MathJaxMap['math_52'] = 'E=(2.947)(56.8/16)=41.8';
MathJaxMap['math_53'] = '(lower bound=155.67, upper bound=216.21)';
MathJaxMap['math_54'] = 'p̂=xn=number of successessample size';
MathJaxMap['math_55'] = 'p̂=xn=10100=0.1';
MathJaxMap['math_56'] = 'lower bound=p̂−Zα/2p̂⋅q̂nupper bound=p̂+Zα/2p̂⋅q̂n';
MathJaxMap['math_57'] = 'p̂±Zα/2p̂⋅q̂n';
MathJaxMap['math_58'] = 'lower bound=p̂−Zα/2p̂⋅q̂n=0.1−1.960.1(0.9)100=0.1−1.96(0.03)=0.1−0.0588=0.0412upper bound=p̂+Zα/2p̂⋅q̂n=0.1+1.960.1(0.9)100=0.1+1.96(0.03)=0.1+0.0588=0.1588';
MathJaxMap['math_59'] = '(lower bound=0.56783, upper bound=0.61212)';
MathJaxMap['math_60'] = 'E=Zα/2⋅p̂⋅q̂n';
MathJaxMap['math_61'] = 'point estimate±margin of error =p̂±Zα/2p̂⋅q̂n =p̂±E';
MathJaxMap['math_62'] = 'E=Zα/2⋅p̂⋅q̂n=1.96⋅0.37(0.63)1012≈0.02975≈0.03';
MathJaxMap['math_63'] = 'point estimate±margin of error =p̂±Zα/2p̂⋅q̂n =p̂±E ≈0.37±0.03=(lower bound=0.34, upper bound=0.40)';
MathJaxMap['math_64'] = 'E=Zα/2⋅p̂⋅q̂n';
MathJaxMap['math_65'] = 'n=p̂⋅q̂(Zα/2E)2(Equation 1)';
MathJaxMap['math_66'] = 'n=(0.5⋅Zα/2E)2';
MathJaxMap['math_67'] = 'n=p̂⋅q̂(Zα/2E)2';
MathJaxMap['math_68'] = 'n=(0.5⋅Zα/2E)2';
MathJaxMap['math_69'] = 'n=p̂⋅q̂(Zα/2E)2=0.37(0.63)(1.960.01)2≈8954.77';
MathJaxMap['math_70'] = 'n=[0.5⋅Zα/2E]2=[(0.5)(1.96)0.03]2≈1067.11';
MathJaxMap['math_71'] = 'p̂=xn=number of successessample size';
MathJaxMap['math_72'] = 'p̂±Zα/2p̂⋅q̂n';
MathJaxMap['math_73'] = 'point estimate±margin of error';
MathJaxMap['math_74'] = 'n=p̂⋅q̂(Zα/2E)2';
MathJaxMap['math_75'] = 'n=[0.5⋅Zα/2E]2';
MathJaxMap['math_76'] = 'Z';
MathJaxMap['math_77'] = 'p';
MathJaxMap['math_78'] = '(1−α)=0.90α2=0.102=0.051−α2=1−0.05=0.95';
MathJaxMap['math_79'] = 'χ2=(n−1)s2σ2';
MathJaxMap['math_80'] = 'χ1−α/22<(n−1)s2σ2<χα/22';
MathJaxMap['math_81'] = '(n−1)s2χα/22<σ2<(n−1)s2χ1−α/22';
MathJaxMap['math_82'] = 'lower bound=(n−1)s2χα/22,upper bound=(n−1)s2χ1−α/22';
MathJaxMap['math_83'] = 'lower bound=(n−1)s2χα/22,upper bound=(n−1)s2χ1−α/22';
MathJaxMap['math_84'] = '(1−α)=0.95α/2=0.0251−α/2=0.975';
MathJaxMap['math_85'] = 'χ1−α/22=χ0.9752=0.484χα/22=χ0.0252=11.143';
MathJaxMap['math_86'] = 'lower bound=(n−1)s2χα/22=(4)11.58447237211.143≈48.1737414≈48.17upper bound=(n−1)s2χ1−α/22=(4)11.5844723720.484≈1109.09091≈1109.09';
MathJaxMap['math_87'] = 'lower bound=(n−1)s2χα/22=48.1737414≈6.94073061≈6.94upper bound=(n−1)s2χ1−α/22=1109.09091≈33.30301653≈33.3';
MathJaxMap['math_88'] = 'lower bound=(n−1)s2χα/22,upper bound=(n−1)s2χ1−α/22';
MathJaxMap['math_89'] = 'E=Zα/2(σ/n)';
MathJaxMap['math_90'] = 'n=[(Zα/2)σE]2';
MathJaxMap['math_91'] = 'lower bound=x¯−Zα/2(σ/n)upper bound=x¯−Zα/2(σ/n)';
MathJaxMap['math_92'] = 'E=tα/2(s/n)';
MathJaxMap['math_93'] = 'lower bound=x¯−tα/2(σ/n)upper bound=x¯+tα/2(s/n)';
MathJaxMap['math_94'] = 'E=Zα/2p̂⋅q̂n';
MathJaxMap['math_95'] = 'n=p̂⋅q̂(Zα/2E)2';
MathJaxMap['math_96'] = 'n=[(0.5)(Zα/2)E]2';
MathJaxMap['math_97'] = 'lower bound=p̂−Zα/2p̂⋅q̂nupper bound=p̂−Zα/2p̂⋅q̂n';
MathJaxMap['math_98'] = 'lower bound=(n−1)s2χα/22 upper bound=(n−1)s2χ1−α/22';
MathJaxMap['math_99'] = 'lower bound=(n−1)s2χα/22upper bound=(n−1)s2χ1−α/22 ';
MathJaxMap['math_100'] = 'Z';
MathJaxMap['math_101'] = 't';
MathJaxMap['math_102'] = 'Z';
MathJaxMap['math_103'] = 'Z';
MathJaxMap['math_104'] = 'Z';
MathJaxMap['math_105'] = 'Z';
MathJaxMap['math_106'] = 't';
MathJaxMap['math_107'] = 'Z';
MathJaxMap['math_108'] = 'Z';
MathJaxMap['math_109'] = 'Z';
MathJaxMap['math_110'] = 'x¯';
MathJaxMap['math_111'] = 'μ';
MathJaxMap['math_112'] = 'x¯';
MathJaxMap['math_113'] = 'μ';
MathJaxMap['math_114'] = 'x¯=70 inches';
MathJaxMap['math_115'] = 'x¯=70';
MathJaxMap['math_116'] = 'μ';
MathJaxMap['math_117'] = 'x¯=70';
MathJaxMap['math_118'] = 'μ';
MathJaxMap['math_119'] = 'x¯';
MathJaxMap['math_120'] = 'x¯';
MathJaxMap['math_121'] = 'μ';
MathJaxMap['math_122'] = 'μ';
MathJaxMap['math_123'] = 'x¯';
MathJaxMap['math_124'] = 'x¯';
MathJaxMap['math_125'] = 'μ';
MathJaxMap['math_126'] = 'μ';
MathJaxMap['math_127'] = 'μ';
MathJaxMap['math_128'] = 'x¯=60';
MathJaxMap['math_129'] = 'μ';
MathJaxMap['math_130'] = 'μ';
MathJaxMap['math_131'] = 'μ';
MathJaxMap['math_132'] = 'Z';
MathJaxMap['math_133'] = 'x¯';
MathJaxMap['math_134'] = 'μ';
MathJaxMap['math_135'] = 'x¯';
MathJaxMap['math_136'] = 'μ';
MathJaxMap['math_137'] = 'x¯=67.5';
MathJaxMap['math_138'] = 'μ';
MathJaxMap['math_139'] = 'x¯=67.5 inches';
MathJaxMap['math_140'] = '67.5 inches ±2 inches';
MathJaxMap['math_141'] = 'α';
MathJaxMap['math_142'] = 'Z';
MathJaxMap['math_143'] = 'Z';
MathJaxMap['math_144'] = 'Z';
MathJaxMap['math_145'] = 'α';
MathJaxMap['math_146'] = '0<α≤0.10';
MathJaxMap['math_147'] = 'α';
MathJaxMap['math_148'] = 'Zα/2';
MathJaxMap['math_149'] = 'Z';
MathJaxMap['math_150'] = 'α/2';
MathJaxMap['math_151'] = 'α=0.05';
MathJaxMap['math_152'] = 'α/2=0.025';
MathJaxMap['math_153'] = 'Zα/2=Z0.025=1.96';
MathJaxMap['math_154'] = 'Z';
MathJaxMap['math_155'] = '−Zα/2';
MathJaxMap['math_156'] = 'α/2';
MathJaxMap['math_157'] = '1−α';
MathJaxMap['math_158'] = 'Z';
MathJaxMap['math_159'] = '−Zα/2';
MathJaxMap['math_160'] = 'Zα/2';
MathJaxMap['math_161'] = '1−α';
MathJaxMap['math_162'] = '−Zα/2<Z<Zα/2';
MathJaxMap['math_163'] = 'Zα/2';
MathJaxMap['math_164'] = 'Z';
MathJaxMap['math_165'] = 'α/2';
MathJaxMap['math_166'] = 'μx¯=μ';
MathJaxMap['math_167'] = 'σx¯=σ/n';
MathJaxMap['math_168'] = 'x¯';
MathJaxMap['math_169'] = 'Z=x¯−μσ/n';
MathJaxMap['math_170'] = 'Z';
MathJaxMap['math_171'] = '−Zα/2<Z<Zα/2';
MathJaxMap['math_172'] = 'μ';
MathJaxMap['math_173'] = 'μ';
MathJaxMap['math_174'] = '100(1−α)%';
MathJaxMap['math_175'] = 'μ';
MathJaxMap['math_176'] = 'μ';
MathJaxMap['math_177'] = 'Z';
MathJaxMap['math_178'] = 'Z';
MathJaxMap['math_179'] = 'μ';
MathJaxMap['math_180'] = 'Z';
MathJaxMap['math_181'] = 'μ';
MathJaxMap['math_182'] = 'σ';
MathJaxMap['math_183'] = 'Z';
MathJaxMap['math_184'] = 'μ';
MathJaxMap['math_185'] = 'Z';
MathJaxMap['math_186'] = 'μ';
MathJaxMap['math_187'] = 'σ';
MathJaxMap['math_188'] = 'σ';
MathJaxMap['math_189'] = 'n';
MathJaxMap['math_190'] = '100(1−α)%';
MathJaxMap['math_191'] = 'μ';
MathJaxMap['math_192'] = '1−α';
MathJaxMap['math_193'] = 'Z';
MathJaxMap['math_194'] = 'Z';
MathJaxMap['math_195'] = 'μ';
MathJaxMap['math_196'] = 'Z';
MathJaxMap['math_197'] = 'μ';
MathJaxMap['math_198'] = 'σ';
MathJaxMap['math_199'] = 'σ';
MathJaxMap['math_200'] = 'σ';
MathJaxMap['math_201'] = 'Z';
MathJaxMap['math_202'] = 'σ';
MathJaxMap['math_203'] = 'Z';
MathJaxMap['math_204'] = 'Z';
MathJaxMap['math_205'] = 'μ';
MathJaxMap['math_206'] = 'σ';
MathJaxMap['math_207'] = 'σ';
MathJaxMap['math_208'] = 'Z';
MathJaxMap['math_209'] = 'μ';
MathJaxMap['math_210'] = 'x¯';
MathJaxMap['math_211'] = 'x¯';
MathJaxMap['math_212'] = 'Zα/2';
MathJaxMap['math_213'] = 'Zα/2';
MathJaxMap['math_214'] = 'Zα/2';
MathJaxMap['math_215'] = '1−α';
MathJaxMap['math_216'] = 'α/2';
MathJaxMap['math_217'] = 'Zα/2';
MathJaxMap['math_218'] = '100(1−0.20)%=80%';
MathJaxMap['math_219'] = '100(1−0.10)%=90%';
MathJaxMap['math_220'] = '100(1−0.05)%=95%';
MathJaxMap['math_221'] = '100(1−0.01)%=99%';
MathJaxMap['math_222'] = 'Zα/2';
MathJaxMap['math_223'] = 'Zα/2';
MathJaxMap['math_224'] = 'α=0.01';
MathJaxMap['math_225'] = 'Zα/2=1.96';
MathJaxMap['math_226'] = 'Zα/2=2.576';
MathJaxMap['math_227'] = 'Zα/2';
MathJaxMap['math_228'] = 'α/2=0.05';
MathJaxMap['math_229'] = 'x¯=510';
MathJaxMap['math_230'] = 'σ=118';
MathJaxMap['math_231'] = 'Z';
MathJaxMap['math_232'] = 'μ';
MathJaxMap['math_233'] = 'σ';
MathJaxMap['math_234'] = 's';
MathJaxMap['math_235'] = 'σ';
MathJaxMap['math_236'] = 'Z';
MathJaxMap['math_237'] = 't';
MathJaxMap['math_238'] = 'μ';
MathJaxMap['math_239'] = 'σ';
MathJaxMap['math_240'] = 'Z';
MathJaxMap['math_241'] = 'x¯=510';
MathJaxMap['math_242'] = 'σ=118';
MathJaxMap['math_243'] = 'n=25';
MathJaxMap['math_244'] = 'Zα/2=1.645';
MathJaxMap['math_245'] = 'μ';
MathJaxMap['math_246'] = 'Z';
MathJaxMap['math_247'] = 'μ';
MathJaxMap['math_248'] = 'x¯';
MathJaxMap['math_249'] = 'E';
MathJaxMap['math_250'] = 'Zα/2(σ/n)';
MathJaxMap['math_251'] = 'E';
MathJaxMap['math_252'] = 'Z';
MathJaxMap['math_253'] = 'E=Zα/2(σ/n)';
MathJaxMap['math_254'] = 'E';
MathJaxMap['math_255'] = 'Z';
MathJaxMap['math_256'] = 'σ=5.637 mpg';
MathJaxMap['math_257'] = 'x¯=20.71 mpg';
MathJaxMap['math_258'] = 'Z';
MathJaxMap['math_259'] = 'μ';
MathJaxMap['math_260'] = 'μ';
MathJaxMap['math_261'] = '(lower bound+upper bound)2=x¯';
MathJaxMap['math_262'] = 'n=100';
MathJaxMap['math_263'] = 'σ=5.637';
MathJaxMap['math_264'] = 'n=100';
MathJaxMap['math_265'] = 'x¯=20.71';
MathJaxMap['math_266'] = 'σ=5.637';
MathJaxMap['math_267'] = 'Zα/2=Z0.025=1.645';
MathJaxMap['math_268'] = 'μ';
MathJaxMap['math_269'] = 'μ';
MathJaxMap['math_270'] = 'μ';
MathJaxMap['math_271'] = 'x¯';
MathJaxMap['math_272'] = 'x¯';
MathJaxMap['math_273'] = 'μ';
MathJaxMap['math_274'] = 'Z';
MathJaxMap['math_275'] = 'μ=20.132 mpg';
MathJaxMap['math_276'] = 'μ';
MathJaxMap['math_277'] = 'x¯';
MathJaxMap['math_278'] = 'x¯';
MathJaxMap['math_279'] = 'μ=20.132';
MathJaxMap['math_280'] = 'μ';
MathJaxMap['math_281'] = 'μ';
MathJaxMap['math_282'] = 'μ';
MathJaxMap['math_283'] = 'Z';
MathJaxMap['math_284'] = 'μ';
MathJaxMap['math_285'] = 'σ=6.326 mpg';
MathJaxMap['math_286'] = 'x¯=26.94 mpg';
MathJaxMap['math_287'] = 'Z';
MathJaxMap['math_288'] = 'μ';
MathJaxMap['math_289'] = 'Z';
MathJaxMap['math_290'] = 'n=16';
MathJaxMap['math_291'] = '(≥30)';
MathJaxMap['math_292'] = 'n';
MathJaxMap['math_293'] = 'μ';
MathJaxMap['math_294'] = 'Z';
MathJaxMap['math_295'] = 'x¯=26.9375';
MathJaxMap['math_296'] = 'σ=3.991136012';
MathJaxMap['math_297'] = 'n=16';
MathJaxMap['math_298'] = 'σ=6.326';
MathJaxMap['math_299'] = 'n=16';
MathJaxMap['math_300'] = 'x¯=26.94';
MathJaxMap['math_301'] = 's=3.99';
MathJaxMap['math_302'] = 'x¯=26.9375';
MathJaxMap['math_303'] = 's=3.991136';
MathJaxMap['math_304'] = 'Z';
MathJaxMap['math_305'] = 'μ';
MathJaxMap['math_306'] = 'E=Zα/2(σ/n)';
MathJaxMap['math_307'] = 'E';
MathJaxMap['math_308'] = '(1−α)100%';
MathJaxMap['math_309'] = 'μ';
MathJaxMap['math_310'] = 'μ';
MathJaxMap['math_311'] = 'E';
MathJaxMap['math_312'] = '1−α';
MathJaxMap['math_313'] = 'Z';
MathJaxMap['math_314'] = 'E';
MathJaxMap['math_315'] = 'E';
MathJaxMap['math_316'] = 'E=Zα/2(σ/n)=1.645(5.637/100)≈0.93';
MathJaxMap['math_317'] = 'x¯=20.71';
MathJaxMap['math_318'] = 'E';
MathJaxMap['math_319'] = 'E';
MathJaxMap['math_320'] = 'Z';
MathJaxMap['math_321'] = 'σ';
MathJaxMap['math_322'] = 'Zα/2';
MathJaxMap['math_323'] = 'n';
MathJaxMap['math_324'] = 'Zα/2';
MathJaxMap['math_325'] = 'n';
MathJaxMap['math_326'] = 'E';
MathJaxMap['math_327'] = 'μ';
MathJaxMap['math_328'] = 'Zα/2';
MathJaxMap['math_329'] = 'μ';
MathJaxMap['math_330'] = 'n=400';
MathJaxMap['math_331'] = 'n=100';
MathJaxMap['math_332'] = 'n=400';
MathJaxMap['math_333'] = 'n=100';
MathJaxMap['math_334'] = 'n=400';
MathJaxMap['math_335'] = 'E';
MathJaxMap['math_336'] = 'Z';
MathJaxMap['math_337'] = 'μ';
MathJaxMap['math_338'] = 'μ';
MathJaxMap['math_339'] = 'E';
MathJaxMap['math_340'] = 'Z';
MathJaxMap['math_341'] = 'μ';
MathJaxMap['math_342'] = 'E';
MathJaxMap['math_343'] = 'μ';
MathJaxMap['math_344'] = 'n';
MathJaxMap['math_345'] = 'n';
MathJaxMap['math_346'] = 'E';
MathJaxMap['math_347'] = 'n';
MathJaxMap['math_348'] = 'Z';
MathJaxMap['math_349'] = 'μ';
MathJaxMap['math_350'] = 'E';
MathJaxMap['math_351'] = '100(1−α)%';
MathJaxMap['math_352'] = 'Zα/2';
MathJaxMap['math_353'] = 'E';
MathJaxMap['math_354'] = 'σ';
MathJaxMap['math_355'] = 'n';
MathJaxMap['math_356'] = 'n';
MathJaxMap['math_357'] = 'μ';
MathJaxMap['math_358'] = 'σ=$5000';
MathJaxMap['math_359'] = 'E';
MathJaxMap['math_360'] = 'Zα/2';
MathJaxMap['math_361'] = 'n=97';
MathJaxMap['math_362'] = 'μ';
MathJaxMap['math_363'] = 'x¯';
MathJaxMap['math_364'] = '100(1−α)%';
MathJaxMap['math_365'] = 'Z';
MathJaxMap['math_366'] = 'μ';
MathJaxMap['math_367'] = '1−α';
MathJaxMap['math_368'] = 'σ';
MathJaxMap['math_369'] = 'Z';
MathJaxMap['math_370'] = 'E';
MathJaxMap['math_371'] = 'Z';
MathJaxMap['math_372'] = 'Z';
MathJaxMap['math_373'] = 'μ';
MathJaxMap['math_374'] = 'E';
MathJaxMap['math_375'] = '100(1−α)%';
MathJaxMap['math_376'] = 'Zα/2';
MathJaxMap['math_377'] = 'E';
MathJaxMap['math_378'] = 'σ';
MathJaxMap['math_379'] = 'μ';
MathJaxMap['math_380'] = 'μ';
MathJaxMap['math_381'] = 'μ';
MathJaxMap['math_382'] = 'E';
MathJaxMap['math_383'] = 'x¯±E';
MathJaxMap['math_384'] = 'x¯±E';
MathJaxMap['math_385'] = 'x¯−E';
MathJaxMap['math_386'] = 'x¯+E.±';
MathJaxMap['math_387'] = 'Zα/2';
MathJaxMap['math_388'] = 'Zα/2';
MathJaxMap['math_389'] = '(1−α)×100%';
MathJaxMap['math_390'] = '1−α';
MathJaxMap['math_391'] = 'α';
MathJaxMap['math_392'] = 'α/2';
MathJaxMap['math_393'] = 'α/2';
MathJaxMap['math_394'] = 'Zα/2';
MathJaxMap['math_395'] = 'α/2';
MathJaxMap['math_396'] = 'Zα/2';
MathJaxMap['math_397'] = 'Z';
MathJaxMap['math_398'] = 'μ';
MathJaxMap['math_399'] = 'Zα/2';
MathJaxMap['math_400'] = 'Z';
MathJaxMap['math_401'] = 'μ';
MathJaxMap['math_402'] = 'Z';
MathJaxMap['math_403'] = 'μ';
MathJaxMap['math_404'] = '(n≥30)';
MathJaxMap['math_405'] = 'σ';
MathJaxMap['math_406'] = 'σ';
MathJaxMap['math_407'] = '(n≥30)';
MathJaxMap['math_408'] = 'σ';
MathJaxMap['math_409'] = '(n<30)';
MathJaxMap['math_410'] = 'σ';
MathJaxMap['math_411'] = '(n≥30)';
MathJaxMap['math_412'] = 'σ';
MathJaxMap['math_413'] = 'σ';
MathJaxMap['math_414'] = 'Zα/2';
MathJaxMap['math_415'] = 'Zα/2=2.576';
MathJaxMap['math_416'] = 'α=0.05';
MathJaxMap['math_417'] = 'Zα/2=1.96';
MathJaxMap['math_418'] = 'α/2=0.025';
MathJaxMap['math_419'] = 'Zα/2=1.645';
MathJaxMap['math_420'] = 'α=0.01';
MathJaxMap['math_421'] = 'σ/n';
MathJaxMap['math_422'] = 'Zα/2';
MathJaxMap['math_423'] = 'μ';
MathJaxMap['math_424'] = 'μ';
MathJaxMap['math_425'] = 'n=16';
MathJaxMap['math_426'] = 'x¯=75';
MathJaxMap['math_427'] = 'σ=10';
MathJaxMap['math_428'] = 'μ';
MathJaxMap['math_429'] = 'n=25';
MathJaxMap['math_430'] = 'x¯=100';
MathJaxMap['math_431'] = 'σ=10';
MathJaxMap['math_432'] = 'n=9';
MathJaxMap['math_433'] = 'x¯=20';
MathJaxMap['math_434'] = 'σ=8';
MathJaxMap['math_435'] = 'μ';
MathJaxMap['math_436'] = 'n=4';
MathJaxMap['math_437'] = 'x¯=4';
MathJaxMap['math_438'] = 'σ=4';
MathJaxMap['math_439'] = 'n=49';
MathJaxMap['math_440'] = 'x¯=20';
MathJaxMap['math_441'] = 'σ=7';
MathJaxMap['math_442'] = 'μ';
MathJaxMap['math_443'] = 'n=100';
MathJaxMap['math_444'] = 'x¯=0.5';
MathJaxMap['math_445'] = 'σ=1';
MathJaxMap['math_446'] = 'n=400';
MathJaxMap['math_447'] = 'x¯=−5';
MathJaxMap['math_448'] = 'σ=2';
MathJaxMap['math_449'] = 'μ';
MathJaxMap['math_450'] = 'n=256';
MathJaxMap['math_451'] = 'x¯=27';
MathJaxMap['math_452'] = 'σ=3';
MathJaxMap['math_453'] = 'μ';
MathJaxMap['math_454'] = 'μ';
MathJaxMap['math_455'] = 'μ';
MathJaxMap['math_456'] = 'μ';
MathJaxMap['math_457'] = 'Z';
MathJaxMap['math_458'] = 'μ';
MathJaxMap['math_459'] = 'μ';
MathJaxMap['math_460'] = 'μ';
MathJaxMap['math_461'] = 'μ';
MathJaxMap['math_462'] = 'μ';
MathJaxMap['math_463'] = 'μ';
MathJaxMap['math_464'] = 'μ';
MathJaxMap['math_465'] = 'μ';
MathJaxMap['math_466'] = 'μ';
MathJaxMap['math_467'] = 'μ';
MathJaxMap['math_468'] = 'σ=10';
MathJaxMap['math_469'] = 'σ=10';
MathJaxMap['math_470'] = 'σ=10';
MathJaxMap['math_471'] = 'σ';
MathJaxMap['math_472'] = 'μ';
MathJaxMap['math_473'] = 'σ=10';
MathJaxMap['math_474'] = 'σ=10';
MathJaxMap['math_475'] = 'σ=10';
MathJaxMap['math_476'] = 'σ';
MathJaxMap['math_477'] = 'n=25';
MathJaxMap['math_478'] = 'σ=2';
MathJaxMap['math_479'] = 'x¯=10';
MathJaxMap['math_480'] = 'μ';
MathJaxMap['math_481'] = 'n=100';
MathJaxMap['math_482'] = 'σ=5';
MathJaxMap['math_483'] = 'x¯=50';
MathJaxMap['math_484'] = 'μ';
MathJaxMap['math_485'] = 'σ/n';
MathJaxMap['math_486'] = 'Zα/2';
MathJaxMap['math_487'] = 'Z';
MathJaxMap['math_488'] = 'Zα/2=1.96';
MathJaxMap['math_489'] = 'n≥30';
MathJaxMap['math_490'] = 'σ';
MathJaxMap['math_491'] = 'μ';
MathJaxMap['math_492'] = 'Zα/2=1.96';
MathJaxMap['math_493'] = 'n≥30';
MathJaxMap['math_494'] = 'σ';
MathJaxMap['math_495'] = 'μ';
MathJaxMap['math_496'] = 'σ';
MathJaxMap['math_497'] = 'μ';
MathJaxMap['math_498'] = 'μ';
MathJaxMap['math_499'] = 'μ';
MathJaxMap['math_500'] = 'μ';
MathJaxMap['math_501'] = 'μ';
MathJaxMap['math_502'] = 'E=38.22';
MathJaxMap['math_503'] = 'Z';
MathJaxMap['math_504'] = 'μ';
MathJaxMap['math_505'] = 'α=1−confidence level';
MathJaxMap['math_506'] = 'μ';
MathJaxMap['math_507'] = 'μ';
MathJaxMap['math_508'] = 'μ';
MathJaxMap['math_509'] = 'μ';
MathJaxMap['math_510'] = 'μ';
MathJaxMap['math_511'] = 'μ';
MathJaxMap['math_512'] = 'μ';
MathJaxMap['math_513'] = 'μ';
MathJaxMap['math_514'] = 'σ=200 million tons';
MathJaxMap['math_515'] = 'Z';
MathJaxMap['math_516'] = 'μ';
MathJaxMap['math_517'] = 'E=5147.133';
MathJaxMap['math_518'] = 'σ=$350,000';
MathJaxMap['math_519'] = 'Z';
MathJaxMap['math_520'] = 'μ';
MathJaxMap['math_521'] = 'σ=0.64 inch';
MathJaxMap['math_522'] = 'μ';
MathJaxMap['math_523'] = 'E=0.397';
MathJaxMap['math_524'] = 'σ=10 bits';
MathJaxMap['math_525'] = 'Zα/2';
MathJaxMap['math_526'] = 'σ=3';
MathJaxMap['math_527'] = 'E=1.07';
MathJaxMap['math_528'] = 'μ';
MathJaxMap['math_529'] = 'μ';
MathJaxMap['math_530'] = 'μ';
MathJaxMap['math_531'] = 'Zα/2';
MathJaxMap['math_532'] = 'x¯';
MathJaxMap['math_533'] = 'n=36';
MathJaxMap['math_534'] = 'σ';
MathJaxMap['math_535'] = 'Zα/2=1.96';
MathJaxMap['math_536'] = 'n=100';
MathJaxMap['math_537'] = 'Zα/2';
MathJaxMap['math_538'] = 'x¯';
MathJaxMap['math_539'] = 'σ';
MathJaxMap['math_540'] = 'n=100';
MathJaxMap['math_541'] = 'x¯=1 ppm';
MathJaxMap['math_542'] = 'σ=0.5 ppm';
MathJaxMap['math_543'] = 'Z';
MathJaxMap['math_544'] = 'μ';
MathJaxMap['math_545'] = 'μ';
MathJaxMap['math_546'] = 'n≥30';
MathJaxMap['math_547'] = 'σ';
MathJaxMap['math_548'] = 'σ';
MathJaxMap['math_549'] = 'σ/n';
MathJaxMap['math_550'] = 'σ';
MathJaxMap['math_551'] = 'σ/n';
MathJaxMap['math_552'] = 'x¯';
MathJaxMap['math_553'] = 'σ';
MathJaxMap['math_554'] = 'σ/n';
MathJaxMap['math_555'] = 'Zα/2';
MathJaxMap['math_556'] = '=2⋅E=2⋅Zα/2(σ/n)';
MathJaxMap['math_557'] = 'Zα/2';
MathJaxMap['math_558'] = 'x¯';
MathJaxMap['math_559'] = 'Zα/2';
MathJaxMap['math_560'] = 'E=Zα/2(σ/n)';
MathJaxMap['math_561'] = 'Zα/2';
MathJaxMap['math_562'] = 'σ=30,000';
MathJaxMap['math_563'] = 'Z';
MathJaxMap['math_564'] = 'σ';
MathJaxMap['math_565'] = 'Zα/2';
MathJaxMap['math_566'] = 'μ';
MathJaxMap['math_567'] = 'μ';
MathJaxMap['math_568'] = 'μ';
MathJaxMap['math_569'] = 'Zα/2';
MathJaxMap['math_570'] = 'Zα/2';
MathJaxMap['math_571'] = 'Zα/2';
MathJaxMap['math_572'] = 'σ=102.1';
MathJaxMap['math_573'] = 'Z';
MathJaxMap['math_574'] = 't';
MathJaxMap['math_575'] = 't';
MathJaxMap['math_576'] = 't';
MathJaxMap['math_577'] = 't';
MathJaxMap['math_578'] = 'μ';
MathJaxMap['math_579'] = 'σ';
MathJaxMap['math_580'] = 'σ';
MathJaxMap['math_581'] = 'Z';
MathJaxMap['math_582'] = 'σ';
MathJaxMap['math_583'] = 's';
MathJaxMap['math_584'] = 't';
MathJaxMap['math_585'] = 't';
MathJaxMap['math_586'] = 't';
MathJaxMap['math_587'] = 'x¯';
MathJaxMap['math_588'] = 'σ';
MathJaxMap['math_589'] = 's';
MathJaxMap['math_590'] = 'Z';
MathJaxMap['math_591'] = 's';
MathJaxMap['math_592'] = 't';
MathJaxMap['math_593'] = 't';
MathJaxMap['math_594'] = 't';
MathJaxMap['math_595'] = 'n−1';
MathJaxMap['math_596'] = 'x¯';
MathJaxMap['math_597'] = 'μ';
MathJaxMap['math_598'] = 's';
MathJaxMap['math_599'] = 'n';
MathJaxMap['math_600'] = 't';
MathJaxMap['math_601'] = 't';
MathJaxMap['math_602'] = 'n';
MathJaxMap['math_603'] = 'n−1';
MathJaxMap['math_604'] = 'n';
MathJaxMap['math_605'] = 'n=3';
MathJaxMap['math_606'] = '10−(5+1)=4';
MathJaxMap['math_607'] = 'n−1';
MathJaxMap['math_608'] = 't';
MathJaxMap['math_609'] = 's';
MathJaxMap['math_610'] = 'σ';
MathJaxMap['math_611'] = 's';
MathJaxMap['math_612'] = 'n−1';
MathJaxMap['math_613'] = 't';
MathJaxMap['math_614'] = 't=x¯−μs/n';
MathJaxMap['math_615'] = 't';
MathJaxMap['math_616'] = 'n−1';
MathJaxMap['math_617'] = 't';
MathJaxMap['math_618'] = 'Z';
MathJaxMap['math_619'] = 'Z';
MathJaxMap['math_620'] = 't';
MathJaxMap['math_621'] = 'df=n−1';
MathJaxMap['math_622'] = 't';
MathJaxMap['math_623'] = 't';
MathJaxMap['math_624'] = 't';
MathJaxMap['math_625'] = 'df=n−1';
MathJaxMap['math_626'] = 't';
MathJaxMap['math_627'] = 't';
MathJaxMap['math_628'] = 'Z';
MathJaxMap['math_629'] = 'Z';
MathJaxMap['math_630'] = 't';
MathJaxMap['math_631'] = 't';
MathJaxMap['math_632'] = 't';
MathJaxMap['math_633'] = 'Z';
MathJaxMap['math_634'] = 't';
MathJaxMap['math_635'] = 'Z';
MathJaxMap['math_636'] = 't';
MathJaxMap['math_637'] = 'Zα/2';
MathJaxMap['math_638'] = 'tα/2';
MathJaxMap['math_639'] = 't';
MathJaxMap['math_640'] = 'α/2';
MathJaxMap['math_641'] = 'Zα/2';
MathJaxMap['math_642'] = 't';
MathJaxMap['math_643'] = 'tα/2';
MathJaxMap['math_644'] = 't';
MathJaxMap['math_645'] = 'tα/2';
MathJaxMap['math_646'] = 'tα/2';
MathJaxMap['math_647'] = 'tα/2';
MathJaxMap['math_648'] = 't';
MathJaxMap['math_649'] = 'tα/2';
MathJaxMap['math_650'] = 'tα/2';
MathJaxMap['math_651'] = 'tα/2';
MathJaxMap['math_652'] = 'tα/2';
MathJaxMap['math_653'] = 'μ';
MathJaxMap['math_654'] = 'n=20';
MathJaxMap['math_655'] = 't';
MathJaxMap['math_656'] = 'tα/2';
MathJaxMap['math_657'] = 'df=n−1=20−1=10';
MathJaxMap['math_658'] = 'tα/2';
MathJaxMap['math_659'] = 't';
MathJaxMap['math_660'] = 'df=n−1';
MathJaxMap['math_661'] = 'tα/2';
MathJaxMap['math_662'] = 'tα/2';
MathJaxMap['math_663'] = 'μ';
MathJaxMap['math_664'] = 'n=20';
MathJaxMap['math_665'] = 't';
MathJaxMap['math_666'] = 't';
MathJaxMap['math_667'] = 'μ';
MathJaxMap['math_668'] = 't';
MathJaxMap['math_669'] = 'σ';
MathJaxMap['math_670'] = 't';
MathJaxMap['math_671'] = 't';
MathJaxMap['math_672'] = 'μ';
MathJaxMap['math_673'] = 't';
MathJaxMap['math_674'] = 'μ';
MathJaxMap['math_675'] = 'n≥30';
MathJaxMap['math_676'] = 'n';
MathJaxMap['math_677'] = 'μ';
MathJaxMap['math_678'] = 'σ';
MathJaxMap['math_679'] = '100(1−α)%';
MathJaxMap['math_680'] = 'μ';
MathJaxMap['math_681'] = 'x¯';
MathJaxMap['math_682'] = 'tα/2';
MathJaxMap['math_683'] = 'n−1';
MathJaxMap['math_684'] = 's';
MathJaxMap['math_685'] = 't';
MathJaxMap['math_686'] = 't';
MathJaxMap['math_687'] = 'μ';
MathJaxMap['math_688'] = 'σ';
MathJaxMap['math_689'] = 't';
MathJaxMap['math_690'] = 'μ';
MathJaxMap['math_691'] = 'n=16';
MathJaxMap['math_692'] = 'x¯=35';
MathJaxMap['math_693'] = 's=8';
MathJaxMap['math_694'] = 'n=25';
MathJaxMap['math_695'] = 'x¯=42';
MathJaxMap['math_696'] = 's=10';
MathJaxMap['math_697'] = '(n is not≥ 30)';
MathJaxMap['math_698'] = 't';
MathJaxMap['math_699'] = 'μ';
MathJaxMap['math_700'] = 't';
MathJaxMap['math_701'] = 't';
MathJaxMap['math_702'] = 'μ';
MathJaxMap['math_703'] = 't';
MathJaxMap['math_704'] = 'σ';
MathJaxMap['math_705'] = 't';
MathJaxMap['math_706'] = 'μ';
MathJaxMap['math_707'] = 'n=25';
MathJaxMap['math_708'] = 'x¯=100';
MathJaxMap['math_709'] = 's=10';
MathJaxMap['math_710'] = 'n=36';
MathJaxMap['math_711'] = 'x¯=50';
MathJaxMap['math_712'] = 's=6';
MathJaxMap['math_713'] = 't';
MathJaxMap['math_714'] = 'μ';
MathJaxMap['math_715'] = 't';
MathJaxMap['math_716'] = 'tα/2';
MathJaxMap['math_717'] = 'n−1=15';
MathJaxMap['math_718'] = 'tα/2';
MathJaxMap['math_719'] = 'μ';
MathJaxMap['math_720'] = 'n=16';
MathJaxMap['math_721'] = 'x¯=185.9';
MathJaxMap['math_722'] = 's=56.8';
MathJaxMap['math_723'] = 'μ';
MathJaxMap['math_724'] = 'μ';
MathJaxMap['math_725'] = 't';
MathJaxMap['math_726'] = 'Z';
MathJaxMap['math_727'] = 'σ';
MathJaxMap['math_728'] = '(σ=56.8)';
MathJaxMap['math_729'] = 'Z';
MathJaxMap['math_730'] = 'Z';
MathJaxMap['math_731'] = 't';
MathJaxMap['math_732'] = 'Z';
MathJaxMap['math_733'] = 's';
MathJaxMap['math_734'] = 'σ';
MathJaxMap['math_735'] = 'Z';
MathJaxMap['math_736'] = 't';
MathJaxMap['math_737'] = 'Z';
MathJaxMap['math_738'] = 'tα/2';
MathJaxMap['math_739'] = 't';
MathJaxMap['math_740'] = 't';
MathJaxMap['math_741'] = 'df=n−1=47';
MathJaxMap['math_742'] = 'df=47';
MathJaxMap['math_743'] = 'df=40';
MathJaxMap['math_744'] = 'df>1000';
MathJaxMap['math_745'] = 'Z';
MathJaxMap['math_746'] = 't';
MathJaxMap['math_747'] = 'Z';
MathJaxMap['math_748'] = 'n';
MathJaxMap['math_749'] = 'Z';
MathJaxMap['math_750'] = 'Zα/2·(σ/n)';
MathJaxMap['math_751'] = 't';
MathJaxMap['math_752'] = 'σ';
MathJaxMap['math_753'] = 't';
MathJaxMap['math_754'] = 'E';
MathJaxMap['math_755'] = '(1−α)100%';
MathJaxMap['math_756'] = 't';
MathJaxMap['math_757'] = 'μ';
MathJaxMap['math_758'] = 'μ';
MathJaxMap['math_759'] = 'E';
MathJaxMap['math_760'] = '(1−α)100%';
MathJaxMap['math_761'] = 'E=41.8 grams';
MathJaxMap['math_762'] = 'x¯';
MathJaxMap['math_763'] = 'E=41.8 grams';
MathJaxMap['math_764'] = 'μ';
MathJaxMap['math_765'] = 't';
MathJaxMap['math_766'] = 'μ';
MathJaxMap['math_767'] = 'n=16';
MathJaxMap['math_768'] = 't';
MathJaxMap['math_769'] = 'x¯=185.9375';
MathJaxMap['math_770'] = 's=56.81017368';
MathJaxMap['math_771'] = 'n=16';
MathJaxMap['math_772'] = 'n = 16';
MathJaxMap['math_773'] = 'x¯=185.9';
MathJaxMap['math_774'] = 's = 56.8';
MathJaxMap['math_775'] = 't';
MathJaxMap['math_776'] = 'x¯=185.9375';
MathJaxMap['math_777'] = 't';
MathJaxMap['math_778'] = 't=x¯−μs/n';
MathJaxMap['math_779'] = 't';
MathJaxMap['math_780'] = 'n−1';
MathJaxMap['math_781'] = 'x¯';
MathJaxMap['math_782'] = 'μ';
MathJaxMap['math_783'] = 's';
MathJaxMap['math_784'] = 'n';
MathJaxMap['math_785'] = 't';
MathJaxMap['math_786'] = 'Z';
MathJaxMap['math_787'] = 't';
MathJaxMap['math_788'] = '100(1−α)%';
MathJaxMap['math_789'] = 'μ';
MathJaxMap['math_790'] = 'x¯±tα/2(s/n)';
MathJaxMap['math_791'] = 'x¯';
MathJaxMap['math_792'] = 'tα/2';
MathJaxMap['math_793'] = 'n−1';
MathJaxMap['math_794'] = 's';
MathJaxMap['math_795'] = 'n';
MathJaxMap['math_796'] = 't';
MathJaxMap['math_797'] = 'n≥30';
MathJaxMap['math_798'] = 't';
MathJaxMap['math_799'] = 'Z';
MathJaxMap['math_800'] = 'σ';
MathJaxMap['math_801'] = 'Z';
MathJaxMap['math_802'] = 'σ';
MathJaxMap['math_803'] = 't';
MathJaxMap['math_804'] = 't';
MathJaxMap['math_805'] = 't';
MathJaxMap['math_806'] = 'Z';
MathJaxMap['math_807'] = 't';
MathJaxMap['math_808'] = 'tα/2';
MathJaxMap['math_809'] = 't';
MathJaxMap['math_810'] = 'μ';
MathJaxMap['math_811'] = 't';
MathJaxMap['math_812'] = 'μ';
MathJaxMap['math_813'] = 'σ';
MathJaxMap['math_814'] = 'tα/2';
MathJaxMap['math_815'] = 'σ';
MathJaxMap['math_816'] = 'tα/2';
MathJaxMap['math_817'] = 'tα/2';
MathJaxMap['math_818'] = 't';
MathJaxMap['math_819'] = 'n = 21';
MathJaxMap['math_820'] = 'tα/2';
MathJaxMap['math_821'] = 'tα/2';
MathJaxMap['math_822'] = 'tα/2';
MathJaxMap['math_823'] = 'tα/2';
MathJaxMap['math_824'] = 't';
MathJaxMap['math_825'] = 'tα/2';
MathJaxMap['math_826'] = 'σ';
MathJaxMap['math_827'] = 't';
MathJaxMap['math_828'] = 'μ';
MathJaxMap['math_829'] = 'n = 16';
MathJaxMap['math_830'] = 'x¯=250';
MathJaxMap['math_831'] = 's = 20';
MathJaxMap['math_832'] = 'n';
MathJaxMap['math_833'] = '≥30';
MathJaxMap['math_834'] = 't';
MathJaxMap['math_835'] = 't';
MathJaxMap['math_836'] = 'n = 225';
MathJaxMap['math_837'] = 'x¯=10';
MathJaxMap['math_838'] = 's = 5';
MathJaxMap['math_839'] = 'n = 81';
MathJaxMap['math_840'] = 'x¯=22';
MathJaxMap['math_841'] = 's = 3';
MathJaxMap['math_842'] = 'n';
MathJaxMap['math_843'] = '≥30';
MathJaxMap['math_844'] = 't';
MathJaxMap['math_845'] = 't';
MathJaxMap['math_846'] = 'n = 64';
MathJaxMap['math_847'] = 'x¯=0';
MathJaxMap['math_848'] = 's = 8';
MathJaxMap['math_849'] = 'x¯';
MathJaxMap['math_850'] = 's';
MathJaxMap['math_851'] = 'tα/2';
MathJaxMap['math_852'] = 'μ';
MathJaxMap['math_853'] = 'x¯=4,s=3';
MathJaxMap['math_854'] = 'tα/2=2.776';
MathJaxMap['math_855'] = 'μ';
MathJaxMap['math_856'] = 'x¯=13,s=3';
MathJaxMap['math_857'] = 'tα/2=2.776';
MathJaxMap['math_858'] = 'μ';
MathJaxMap['math_859'] = 'σ';
MathJaxMap['math_860'] = 'tα/2';
MathJaxMap['math_861'] = 't';
MathJaxMap['math_862'] = 'μ';
MathJaxMap['math_863'] = 'μ';
MathJaxMap['math_864'] = 'tα/2=1.753';
MathJaxMap['math_865'] = 'μ';
MathJaxMap['math_866'] = 'n=9';
MathJaxMap['math_867'] = 'x¯=50';
MathJaxMap['math_868'] = 's=6';
MathJaxMap['math_869'] = 'tα/2=3.355';
MathJaxMap['math_870'] = 'μ';
MathJaxMap['math_871'] = 'n=25';
MathJaxMap['math_872'] = 'x¯=0';
MathJaxMap['math_873'] = 's=8';
MathJaxMap['math_874'] = 'n=400';
MathJaxMap['math_875'] = 'x¯=−20';
MathJaxMap['math_876'] = 's=6';
MathJaxMap['math_877'] = 'tα/2=1.984';
MathJaxMap['math_878'] = 'μ';
MathJaxMap['math_879'] = 'n=100';
MathJaxMap['math_880'] = 'x¯=0';
MathJaxMap['math_881'] = 's=15';
MathJaxMap['math_882'] = 'σ';
MathJaxMap['math_883'] = 'tα/2';
MathJaxMap['math_884'] = 't';
MathJaxMap['math_885'] = 'μ';
MathJaxMap['math_886'] = 'μ';
MathJaxMap['math_887'] = 'tα/2=1.660';
MathJaxMap['math_888'] = 'n';
MathJaxMap['math_889'] = '≥30';
MathJaxMap['math_890'] = 'μ';
MathJaxMap['math_891'] = 'n=225';
MathJaxMap['math_892'] = 'x¯=35';
MathJaxMap['math_893'] = 's=5';
MathJaxMap['math_894'] = 'tα/2=1.660';
MathJaxMap['math_895'] = 'n';
MathJaxMap['math_896'] = '≥30';
MathJaxMap['math_897'] = 'μ';
MathJaxMap['math_898'] = 'n=144';
MathJaxMap['math_899'] = 'x¯=42';
MathJaxMap['math_900'] = 's=6';
MathJaxMap['math_901'] = 'n=64';
MathJaxMap['math_902'] = 'x¯=−20';
MathJaxMap['math_903'] = 's=4';
MathJaxMap['math_904'] = 'tα/2=2.000';
MathJaxMap['math_905'] = 'n';
MathJaxMap['math_906'] = '≥30';
MathJaxMap['math_907'] = 'μ';
MathJaxMap['math_908'] = 'n=400';
MathJaxMap['math_909'] = 'x¯=0';
MathJaxMap['math_910'] = 's=10';
MathJaxMap['math_911'] = 'E=2.2';
MathJaxMap['math_912'] = 'μ';
MathJaxMap['math_913'] = 'E=6.7';
MathJaxMap['math_914'] = 'μ';
MathJaxMap['math_915'] = 'E=0.6';
MathJaxMap['math_916'] = 'μ';
MathJaxMap['math_917'] = 'E=1.7';
MathJaxMap['math_918'] = 'μ';
MathJaxMap['math_919'] = 'E=0.6';
MathJaxMap['math_920'] = 'μ';
MathJaxMap['math_921'] = 'E=1';
MathJaxMap['math_922'] = 'μ';
MathJaxMap['math_923'] = 't';
MathJaxMap['math_924'] = 'μ';
MathJaxMap['math_925'] = 'tα/2';
MathJaxMap['math_926'] = 'n';
MathJaxMap['math_927'] = '≥30';
MathJaxMap['math_928'] = 'tα/2=2.042';
MathJaxMap['math_929'] = 't';
MathJaxMap['math_930'] = 'μ';
MathJaxMap['math_931'] = 'tα/2';
MathJaxMap['math_932'] = 't';
MathJaxMap['math_933'] = 'μ';
MathJaxMap['math_934'] = 'tα/2';
MathJaxMap['math_935'] = 'n';
MathJaxMap['math_936'] = '≥30';
MathJaxMap['math_937'] = 'tα/2=1.987';
MathJaxMap['math_938'] = 't';
MathJaxMap['math_939'] = 'μ';
MathJaxMap['math_940'] = 'tα/2';
MathJaxMap['math_941'] = 'E=1.1';
MathJaxMap['math_942'] = 'E=2';
MathJaxMap['math_943'] = 't';
MathJaxMap['math_944'] = 'μ';
MathJaxMap['math_945'] = 'μ';
MathJaxMap['math_946'] = 'μ';
MathJaxMap['math_947'] = 'μ';
MathJaxMap['math_948'] = 'μ';
MathJaxMap['math_949'] = 'μ';
MathJaxMap['math_950'] = 'e+4';
MathJaxMap['math_951'] = '2.240e+4';
MathJaxMap['math_952'] = 'μ';
MathJaxMap['math_953'] = 'μ';
MathJaxMap['math_954'] = 'μ';
MathJaxMap['math_955'] = '1−α';
MathJaxMap['math_956'] = 's';
MathJaxMap['math_957'] = 'n';
MathJaxMap['math_958'] = 't';
MathJaxMap['math_959'] = 'E=241.89';
MathJaxMap['math_960'] = 't';
MathJaxMap['math_961'] = 'E=24';
MathJaxMap['math_962'] = 'tα/2';
MathJaxMap['math_963'] = 'E';
MathJaxMap['math_964'] = 't';
MathJaxMap['math_965'] = 'tα/2=2.132';
MathJaxMap['math_966'] = 'E=11.0';
MathJaxMap['math_967'] = 't';
MathJaxMap['math_968'] = 'tα/2';
MathJaxMap['math_969'] = 't';
MathJaxMap['math_970'] = 'tα/2=1.699';
MathJaxMap['math_971'] = 'E=0.9';
MathJaxMap['math_972'] = 'tα/2';
MathJaxMap['math_973'] = 'E';
MathJaxMap['math_974'] = 't';
MathJaxMap['math_975'] = 'σ';
MathJaxMap['math_976'] = 't';
MathJaxMap['math_977'] = 'E';
MathJaxMap['math_978'] = 't';
MathJaxMap['math_979'] = 't';
MathJaxMap['math_980'] = 'μ';
MathJaxMap['math_981'] = 's';
MathJaxMap['math_982'] = 's=$366.1';
MathJaxMap['math_983'] = 'tα/2';
MathJaxMap['math_984'] = 'E';
MathJaxMap['math_985'] = 't';
MathJaxMap['math_986'] = 't';
MathJaxMap['math_987'] = 't';
MathJaxMap['math_988'] = 'Z';
MathJaxMap['math_989'] = 'p̂';
MathJaxMap['math_990'] = 'p';
MathJaxMap['math_991'] = 'Z';
MathJaxMap['math_992'] = 'p';
MathJaxMap['math_993'] = 'Z';
MathJaxMap['math_994'] = 'p';
MathJaxMap['math_995'] = 'p̂';
MathJaxMap['math_996'] = 'p';
MathJaxMap['math_997'] = 'μ';
MathJaxMap['math_998'] = 'p';
MathJaxMap['math_999'] = 'p';
MathJaxMap['math_1000'] = 'p̂';
MathJaxMap['math_1001'] = 'p';
MathJaxMap['math_1002'] = 'p̂';
MathJaxMap['math_1003'] = 'p';
MathJaxMap['math_1004'] = 'n=100';
MathJaxMap['math_1005'] = 'x=10';
MathJaxMap['math_1006'] = 'p';
MathJaxMap['math_1007'] = 'n';
MathJaxMap['math_1008'] = 'x';
MathJaxMap['math_1009'] = 'p̂';
MathJaxMap['math_1010'] = 'p';
MathJaxMap['math_1011'] = 'n=100';
MathJaxMap['math_1012'] = 'x=50';
MathJaxMap['math_1013'] = 'n=160';
MathJaxMap['math_1014'] = 'x=90';
MathJaxMap['math_1015'] = 'p̂';
MathJaxMap['math_1016'] = 'Z';
MathJaxMap['math_1017'] = 'p';
MathJaxMap['math_1018'] = 'x≥5';
MathJaxMap['math_1019'] = '(n−x)≥5';
MathJaxMap['math_1020'] = 'p̂';
MathJaxMap['math_1021'] = 'μp̂=p';
MathJaxMap['math_1022'] = 'σp̂=p⋅qn';
MathJaxMap['math_1023'] = 'n⋅p≥5';
MathJaxMap['math_1024'] = 'n⋅q≥5';
MathJaxMap['math_1025'] = 'q=1—p';
MathJaxMap['math_1026'] = 'p';
MathJaxMap['math_1027'] = 'p';
MathJaxMap['math_1028'] = 'Z';
MathJaxMap['math_1029'] = 'Z';
MathJaxMap['math_1030'] = 'p';
MathJaxMap['math_1031'] = 'p';
MathJaxMap['math_1032'] = 'σp̂';
MathJaxMap['math_1033'] = 'p̂';
MathJaxMap['math_1034'] = 'p';
MathJaxMap['math_1035'] = 'Z';
MathJaxMap['math_1036'] = 'p';
MathJaxMap['math_1037'] = 'Z';
MathJaxMap['math_1038'] = 'p';
MathJaxMap['math_1039'] = 'n⋅p̂≥5';
MathJaxMap['math_1040'] = 'n⋅q̂≥5';
MathJaxMap['math_1041'] = 'x≥5';
MathJaxMap['math_1042'] = '(n−x)≥5';
MathJaxMap['math_1043'] = 'q̂=1−p̂';
MathJaxMap['math_1044'] = 'p';
MathJaxMap['math_1045'] = '100(1−α)%';
MathJaxMap['math_1046'] = 'p';
MathJaxMap['math_1047'] = 'p̂';
MathJaxMap['math_1048'] = 'q̂=1−p̂';
MathJaxMap['math_1049'] = 'n';
MathJaxMap['math_1050'] = 'Zα/2';
MathJaxMap['math_1051'] = 'Zα/2';
MathJaxMap['math_1052'] = 'Zα/2';
MathJaxMap['math_1053'] = 'α';
MathJaxMap['math_1054'] = 'α/2';
MathJaxMap['math_1055'] = 'Zα/2';
MathJaxMap['math_1056'] = 'Z';
MathJaxMap['math_1057'] = 'p';
MathJaxMap['math_1058'] = 'Z';
MathJaxMap['math_1059'] = 'p';
MathJaxMap['math_1060'] = 'n=100';
MathJaxMap['math_1061'] = 'x=10';
MathJaxMap['math_1062'] = 'x=10';
MathJaxMap['math_1063'] = 'n−x=90';
MathJaxMap['math_1064'] = 'Z';
MathJaxMap['math_1065'] = 'p';
MathJaxMap['math_1066'] = 'Zα/2=1.96';
MathJaxMap['math_1067'] = 'n';
MathJaxMap['math_1068'] = 'x';
MathJaxMap['math_1069'] = 'p';
MathJaxMap['math_1070'] = 'n=100';
MathJaxMap['math_1071'] = 'x=50';
MathJaxMap['math_1072'] = 'n=160';
MathJaxMap['math_1073'] = 'x=90';
MathJaxMap['math_1074'] = 'Z';
MathJaxMap['math_1075'] = 'p';
MathJaxMap['math_1076'] = 'p̂=0.5899736148';
MathJaxMap['math_1077'] = 'n=1895';
MathJaxMap['math_1078'] = 'X=1118';
MathJaxMap['math_1079'] = 'n=1895';
MathJaxMap['math_1080'] = 'p̂=0.589974';
MathJaxMap['math_1081'] = 'p(0.567829,0.612118)';
MathJaxMap['math_1082'] = 'Z';
MathJaxMap['math_1083'] = 'p';
MathJaxMap['math_1084'] = 'n=1895';
MathJaxMap['math_1085'] = 'X=1118';
MathJaxMap['math_1086'] = 'p̂=0.59';
MathJaxMap['math_1087'] = 'p(0.5678, 0.6121)';
MathJaxMap['math_1088'] = 'Z';
MathJaxMap['math_1089'] = 'p';
MathJaxMap['math_1090'] = 'Z';
MathJaxMap['math_1091'] = 'p';
MathJaxMap['math_1092'] = 'Z';
MathJaxMap['math_1093'] = 'p';
MathJaxMap['math_1094'] = 'Z';
MathJaxMap['math_1095'] = 'p';
MathJaxMap['math_1096'] = 'E';
MathJaxMap['math_1097'] = '(1−α)100%';
MathJaxMap['math_1098'] = 'Z';
MathJaxMap['math_1099'] = 'p';
MathJaxMap['math_1100'] = 'p';
MathJaxMap['math_1101'] = 'E';
MathJaxMap['math_1102'] = '(1−α)100%';
MathJaxMap['math_1103'] = 'μ';
MathJaxMap['math_1104'] = 'Z';
MathJaxMap['math_1105'] = 'p';
MathJaxMap['math_1106'] = 'Z';
MathJaxMap['math_1107'] = 'p';
MathJaxMap['math_1108'] = 'E';
MathJaxMap['math_1109'] = 'n=1012';
MathJaxMap['math_1110'] = 'p̂=3741012≈0.37';
MathJaxMap['math_1111'] = 'q̂=(1−p̂)=0.63';
MathJaxMap['math_1112'] = 'x=374';
MathJaxMap['math_1113'] = 'n−x=1012−374=638';
MathJaxMap['math_1114'] = 'Zα/2';
MathJaxMap['math_1115'] = 'E=0.03';
MathJaxMap['math_1116'] = 'E=3 percentage points =0.03';
MathJaxMap['math_1117'] = 'p';
MathJaxMap['math_1118'] = 'E';
MathJaxMap['math_1119'] = '100(1−α)%';
MathJaxMap['math_1120'] = 'n';
MathJaxMap['math_1121'] = 'p̂';
MathJaxMap['math_1122'] = 'p̂';
MathJaxMap['math_1123'] = 'p̂';
MathJaxMap['math_1124'] = 'p';
MathJaxMap['math_1125'] = 'p̂';
MathJaxMap['math_1126'] = 'p̂=0.5';
MathJaxMap['math_1127'] = 'p̂=0.5';
MathJaxMap['math_1128'] = 'p̂';
MathJaxMap['math_1129'] = 'p̂';
MathJaxMap['math_1130'] = 'p';
MathJaxMap['math_1131'] = 'p̂';
MathJaxMap['math_1132'] = 'p';
MathJaxMap['math_1133'] = 'E';
MathJaxMap['math_1134'] = '100(1−α)%';
MathJaxMap['math_1135'] = 'Zα/2';
MathJaxMap['math_1136'] = 'E';
MathJaxMap['math_1137'] = 'p̂';
MathJaxMap['math_1138'] = 'q̂=1−p̂';
MathJaxMap['math_1139'] = 'p̂';
MathJaxMap['math_1140'] = 'p';
MathJaxMap['math_1141'] = 'p̂';
MathJaxMap['math_1142'] = 'E=0.01';
MathJaxMap['math_1143'] = 'p̂=0.37';
MathJaxMap['math_1144'] = 'Zα/2=1.96';
MathJaxMap['math_1145'] = 'E=0.01';
MathJaxMap['math_1146'] = 'p';
MathJaxMap['math_1147'] = 'p̂';
MathJaxMap['math_1148'] = 'p̂';
MathJaxMap['math_1149'] = 'E=0.03';
MathJaxMap['math_1150'] = 'Zα/2';
MathJaxMap['math_1151'] = 'p';
MathJaxMap['math_1152'] = 'p';
MathJaxMap['math_1153'] = '100(1−α)%';
MathJaxMap['math_1154'] = 'p';
MathJaxMap['math_1155'] = 'p̂';
MathJaxMap['math_1156'] = 'q̂=1−p̂';
MathJaxMap['math_1157'] = 'n';
MathJaxMap['math_1158'] = 'Zα/2';
MathJaxMap['math_1159'] = 'Z';
MathJaxMap['math_1160'] = 'p';
MathJaxMap['math_1161'] = 'n⋅p̂≥5';
MathJaxMap['math_1162'] = 'n⋅q̂≥5';
MathJaxMap['math_1163'] = 'x≥5';
MathJaxMap['math_1164'] = 'n−x≥5';
MathJaxMap['math_1165'] = 'p';
MathJaxMap['math_1166'] = 'p̂';
MathJaxMap['math_1167'] = 'p';
MathJaxMap['math_1168'] = 'E=Zα/2p̂⋅q̂/n';
MathJaxMap['math_1169'] = 'p';
MathJaxMap['math_1170'] = 'E';
MathJaxMap['math_1171'] = '100(1−α)%';
MathJaxMap['math_1172'] = 'p̂';
MathJaxMap['math_1173'] = 'p̂';
MathJaxMap['math_1174'] = 'p';
MathJaxMap['math_1175'] = 'p';
MathJaxMap['math_1176'] = 'p';
MathJaxMap['math_1177'] = 'p̂';
MathJaxMap['math_1178'] = 'Z';
MathJaxMap['math_1179'] = 'p';
MathJaxMap['math_1180'] = 'p';
MathJaxMap['math_1181'] = 'p';
MathJaxMap['math_1182'] = 'p̂';
MathJaxMap['math_1183'] = 'p̂';
MathJaxMap['math_1184'] = 'p̂';
MathJaxMap['math_1185'] = 'p';
MathJaxMap['math_1186'] = 'n=154';
MathJaxMap['math_1187'] = 'x=90';
MathJaxMap['math_1188'] = 'n=232';
MathJaxMap['math_1189'] = 'x=142';
MathJaxMap['math_1190'] = 'Zα/2';
MathJaxMap['math_1191'] = 'p';
MathJaxMap['math_1192'] = 'p';
MathJaxMap['math_1193'] = 'Zα/2=1.96';
MathJaxMap['math_1194'] = 'Zα/2=1.96';
MathJaxMap['math_1195'] = 'n=154';
MathJaxMap['math_1196'] = 'x=4';
MathJaxMap['math_1197'] = 'Zα/2=1.96';
MathJaxMap['math_1198'] = 'n=154';
MathJaxMap['math_1199'] = 'x=90';
MathJaxMap['math_1200'] = 'n=232';
MathJaxMap['math_1201'] = 'x=142';
MathJaxMap['math_1202'] = 'Zα/2=1.96';
MathJaxMap['math_1203'] = 'n=232';
MathJaxMap['math_1204'] = 'n−x=3';
MathJaxMap['math_1205'] = 'n=100';
MathJaxMap['math_1206'] = 'p̂=0.4';
MathJaxMap['math_1207'] = 'Zα/2=1.645';
MathJaxMap['math_1208'] = 'n=100';
MathJaxMap['math_1209'] = 'p̂=0.3';
MathJaxMap['math_1210'] = 'n=100';
MathJaxMap['math_1211'] = 'p̂=0.2';
MathJaxMap['math_1212'] = 'Zα/2=1.645';
MathJaxMap['math_1213'] = 'n=25';
MathJaxMap['math_1214'] = 'p̂=0.8';
MathJaxMap['math_1215'] = 'n=25';
MathJaxMap['math_1216'] = 'p̂=0.8';
MathJaxMap['math_1217'] = 'Zα/2=1.96';
MathJaxMap['math_1218'] = 'n=25';
MathJaxMap['math_1219'] = 'p̂=0.8';
MathJaxMap['math_1220'] = 'E';
MathJaxMap['math_1221'] = 'p';
MathJaxMap['math_1222'] = 'E';
MathJaxMap['math_1223'] = 'p';
MathJaxMap['math_1224'] = 'p̂';
MathJaxMap['math_1225'] = 'E=Zα/2⋅p^(1−p^)/n';
MathJaxMap['math_1226'] = 'p^';
MathJaxMap['math_1227'] = 'E';
MathJaxMap['math_1228'] = 'p^';
MathJaxMap['math_1229'] = 'p';
MathJaxMap['math_1230'] = 'p̂';
MathJaxMap['math_1231'] = 'p̂=0.3';
MathJaxMap['math_1232'] = 'p̂=0.7';
MathJaxMap['math_1233'] = 'p̂=0.1';
MathJaxMap['math_1234'] = 'p̂=0.01';
MathJaxMap['math_1235'] = 'p̂=0.001';
MathJaxMap['math_1236'] = 'p̂';
MathJaxMap['math_1237'] = 'p';
MathJaxMap['math_1238'] = 'p̂';
MathJaxMap['math_1239'] = 'Zα/2';
MathJaxMap['math_1240'] = 'p';
MathJaxMap['math_1241'] = 'p';
MathJaxMap['math_1242'] = 'Zα/2=1.96';
MathJaxMap['math_1243'] = 'p';
MathJaxMap['math_1244'] = 'Zα/2=2.576';
MathJaxMap['math_1245'] = 'p';
MathJaxMap['math_1246'] = 'Z';
MathJaxMap['math_1247'] = 'p';
MathJaxMap['math_1248'] = 'p';
MathJaxMap['math_1249'] = 'p';
MathJaxMap['math_1250'] = 'p';
MathJaxMap['math_1251'] = 'p';
MathJaxMap['math_1252'] = 'p';
MathJaxMap['math_1253'] = 'p';
MathJaxMap['math_1254'] = 'p';
MathJaxMap['math_1255'] = 'Zα/2';
MathJaxMap['math_1256'] = '±3';
MathJaxMap['math_1257'] = 'Zα/2';
MathJaxMap['math_1258'] = 'Zα/2';
MathJaxMap['math_1259'] = 'p';
MathJaxMap['math_1260'] = 'p^=0.4630';
MathJaxMap['math_1261'] = 'Zα/2';
MathJaxMap['math_1262'] = 'Zα/2=1.96';
MathJaxMap['math_1263'] = 'E=Zα/2.p̂.q̂n';
MathJaxMap['math_1264'] = 'p';
MathJaxMap['math_1265'] = '0.4630±0.1330';
MathJaxMap['math_1266'] = 'np^=40(0.975)=39≥5';
MathJaxMap['math_1267'] = 'n(1−p^)=40(1−0.975)=1<5';
MathJaxMap['math_1268'] = 'Z';
MathJaxMap['math_1269'] = 'p';
MathJaxMap['math_1270'] = 'Zα/2';
MathJaxMap['math_1271'] = 'Zα/2';
MathJaxMap['math_1272'] = 'χ2';
MathJaxMap['math_1273'] = 'χ2';
MathJaxMap['math_1274'] = 'σ2';
MathJaxMap['math_1275'] = 'σ';
MathJaxMap['math_1276'] = 'χ2';
MathJaxMap['math_1277'] = 'χ2';
MathJaxMap['math_1278'] = 'χ2';
MathJaxMap['math_1279'] = 'χ2';
MathJaxMap['math_1280'] = 't';
MathJaxMap['math_1281'] = 'χ2';
MathJaxMap['math_1282'] = 'χ2';
MathJaxMap['math_1283'] = 'χ2';
MathJaxMap['math_1284'] = 'χ2';
MathJaxMap['math_1285'] = 'χ2';
MathJaxMap['math_1286'] = 'χ2';
MathJaxMap['math_1287'] = 'χ2';
MathJaxMap['math_1288'] = 'χ2';
MathJaxMap['math_1289'] = 'χ2';
MathJaxMap['math_1290'] = 'n−1';
MathJaxMap['math_1291'] = 'χ2';
MathJaxMap['math_1292'] = 'χ2';
MathJaxMap['math_1293'] = 'χ2';
MathJaxMap['math_1294'] = '100(1−α)%';
MathJaxMap['math_1295'] = 'χ2';
MathJaxMap['math_1296'] = 'χ2';
MathJaxMap['math_1297'] = 't';
MathJaxMap['math_1298'] = 'χ2';
MathJaxMap['math_1299'] = 'χ2';
MathJaxMap['math_1300'] = 'σ2';
MathJaxMap['math_1301'] = 'χ2';
MathJaxMap['math_1302'] = 'X1−α/22';
MathJaxMap['math_1303'] = 'χ2';
MathJaxMap['math_1304'] = '1−α/2';
MathJaxMap['math_1305'] = 'Xα/22';
MathJaxMap['math_1306'] = 'χ2';
MathJaxMap['math_1307'] = '1−α/2';
MathJaxMap['math_1308'] = '(1−α)=0.95';
MathJaxMap['math_1309'] = 'α/2=0.025';
MathJaxMap['math_1310'] = '1−α/2=0.975';
MathJaxMap['math_1311'] = 'χ0.9752';
MathJaxMap['math_1312'] = 'χ2';
MathJaxMap['math_1313'] = '1−α/2=0.975';
MathJaxMap['math_1314'] = 'χ2';
MathJaxMap['math_1315'] = 'X0.0252';
MathJaxMap['math_1316'] = 'χ2';
MathJaxMap['math_1317'] = 'α/2=0.025';
MathJaxMap['math_1318'] = 'χ2';
MathJaxMap['math_1319'] = 'χ2';
MathJaxMap['math_1320'] = 'χ2';
MathJaxMap['math_1321'] = 'χ2';
MathJaxMap['math_1322'] = 'χ2';
MathJaxMap['math_1323'] = 'n=10';
MathJaxMap['math_1324'] = 'χ0.952';
MathJaxMap['math_1325'] = '1−α/2=0.95';
MathJaxMap['math_1326'] = 'χ0.052';
MathJaxMap['math_1327'] = 'α/2=0.05';
MathJaxMap['math_1328'] = 'n=10';
MathJaxMap['math_1329'] = 'df=n−1=10−1=9';
MathJaxMap['math_1330'] = 'χ0.952';
MathJaxMap['math_1331'] = 'χ2';
MathJaxMap['math_1332'] = 'χ0.952';
MathJaxMap['math_1333'] = 'χ0.952=3.325';
MathJaxMap['math_1334'] = 'χ2';
MathJaxMap['math_1335'] = 'χ0.952';
MathJaxMap['math_1336'] = 'χ0.052';
MathJaxMap['math_1337'] = 'χ2';
MathJaxMap['math_1338'] = 'χ0.052';
MathJaxMap['math_1339'] = 'df=9';
MathJaxMap['math_1340'] = 'χ0.052=16.919';
MathJaxMap['math_1341'] = 'χ2';
MathJaxMap['math_1342'] = 'χ2';
MathJaxMap['math_1343'] = 'χ2';
MathJaxMap['math_1344'] = 'n=20';
MathJaxMap['math_1345'] = '100(1−α)%';
MathJaxMap['math_1346'] = 'σ2';
MathJaxMap['math_1347'] = 'n';
MathJaxMap['math_1348'] = 'μ';
MathJaxMap['math_1349'] = 'σ';
MathJaxMap['math_1350'] = 'χ2';
MathJaxMap['math_1351'] = 'n−1';
MathJaxMap['math_1352'] = 's2';
MathJaxMap['math_1353'] = '100(1−α)%';
MathJaxMap['math_1354'] = 'χ2';
MathJaxMap['math_1355'] = 'χ1−α/22';
MathJaxMap['math_1356'] = 'χα/22';
MathJaxMap['math_1357'] = 'σ2';
MathJaxMap['math_1358'] = '100(1−α)%';
MathJaxMap['math_1359'] = 'σ2';
MathJaxMap['math_1360'] = 'σ2';
MathJaxMap['math_1361'] = '(n−1)s2χα/22';
MathJaxMap['math_1362'] = '(n−1)s2χ1−α/22';
MathJaxMap['math_1363'] = 'σ';
MathJaxMap['math_1364'] = 'σ2';
MathJaxMap['math_1365'] = 'n';
MathJaxMap['math_1366'] = 'μ';
MathJaxMap['math_1367'] = 'σ';
MathJaxMap['math_1368'] = '100(1−α)%';
MathJaxMap['math_1369'] = 'σ2';
MathJaxMap['math_1370'] = 's2';
MathJaxMap['math_1371'] = 'χ1−α/22';
MathJaxMap['math_1372'] = 'χα/22';
MathJaxMap['math_1373'] = 'χ2';
MathJaxMap['math_1374'] = 'n−1';
MathJaxMap['math_1375'] = 'σ';
MathJaxMap['math_1376'] = '100(1−α)%';
MathJaxMap['math_1377'] = 'σ';
MathJaxMap['math_1378'] = 'σ2';
MathJaxMap['math_1379'] = 'σ';
MathJaxMap['math_1380'] = 'χ1−α/22';
MathJaxMap['math_1381'] = 'χα/22';
MathJaxMap['math_1382'] = 'n=5';
MathJaxMap['math_1383'] = 'n−1=4';
MathJaxMap['math_1384'] = 'χ2';
MathJaxMap['math_1385'] = 's=11.58447237';
MathJaxMap['math_1386'] = 'σ2';
MathJaxMap['math_1387'] = 'σ2';
MathJaxMap['math_1388'] = 'σ';
MathJaxMap['math_1389'] = 'σ';
MathJaxMap['math_1390'] = 'σ';
MathJaxMap['math_1391'] = 'σ';
MathJaxMap['math_1392'] = 'σ';
MathJaxMap['math_1393'] = 'χ1−α/22';
MathJaxMap['math_1394'] = 'χα/22';
MathJaxMap['math_1395'] = 'χ1−α/22';
MathJaxMap['math_1396'] = '1−α/2';
MathJaxMap['math_1397'] = 'χ1−α/22';
MathJaxMap['math_1398'] = 'χα/22';
MathJaxMap['math_1399'] = 'α/2';
MathJaxMap['math_1400'] = 'χα/22';
MathJaxMap['math_1401'] = 'χ1−α/22';
MathJaxMap['math_1402'] = 'χα/22';
MathJaxMap['math_1403'] = 'χ1−α/22';
MathJaxMap['math_1404'] = 'χα/22';
MathJaxMap['math_1405'] = 'α/2';
MathJaxMap['math_1406'] = 'χα/22';
MathJaxMap['math_1407'] = 'χα/22';
MathJaxMap['math_1408'] = '1−α/2';
MathJaxMap['math_1409'] = 'χ1−α/22';
MathJaxMap['math_1410'] = 'χα/22';
MathJaxMap['math_1411'] = '100(1−α)%';
MathJaxMap['math_1412'] = 'χ1−α/22';
MathJaxMap['math_1413'] = 'χα/22';
MathJaxMap['math_1414'] = 'χ1−α/22';
MathJaxMap['math_1415'] = 'χ1−α/22';
MathJaxMap['math_1416'] = 'α/2';
MathJaxMap['math_1417'] = 'χα/22';
MathJaxMap['math_1418'] = 'χα/22';
MathJaxMap['math_1419'] = '1−α/2';
MathJaxMap['math_1420'] = 'χ1−α/22';
MathJaxMap['math_1421'] = 'χα/22';
MathJaxMap['math_1422'] = 'χ1−α/22';
MathJaxMap['math_1423'] = 'χ1−α/22';
MathJaxMap['math_1424'] = 'α/2';
MathJaxMap['math_1425'] = 'χα/22';
MathJaxMap['math_1426'] = 'χα/22';
MathJaxMap['math_1427'] = '1−α/2';
MathJaxMap['math_1428'] = 'χ1−α/22';
MathJaxMap['math_1429'] = 'χα/22';
MathJaxMap['math_1430'] = '100(1−α)%';
MathJaxMap['math_1431'] = 'χ1−α/22';
MathJaxMap['math_1432'] = 'χ1−α/22';
MathJaxMap['math_1433'] = 'χα/22';
MathJaxMap['math_1434'] = 'α/2';
MathJaxMap['math_1435'] = 'χ1−α/22';
MathJaxMap['math_1436'] = '1−α/2';
MathJaxMap['math_1437'] = 'χ1−α/22';
MathJaxMap['math_1438'] = 'χ2';
MathJaxMap['math_1439'] = 'χ2';
MathJaxMap['math_1440'] = 'χ2';
MathJaxMap['math_1441'] = 'n−1';
MathJaxMap['math_1442'] = 'χ2';
MathJaxMap['math_1443'] = 'χ2';
MathJaxMap['math_1444'] = 'χ2';
MathJaxMap['math_1445'] = '100(1−α)%';
MathJaxMap['math_1446'] = 'σ2';
MathJaxMap['math_1447'] = 's2';
MathJaxMap['math_1448'] = 'χ1−α/22';
MathJaxMap['math_1449'] = 'χα/22';
MathJaxMap['math_1450'] = 'χ2';
MathJaxMap['math_1451'] = 'n−1';
MathJaxMap['math_1452'] = 's';
MathJaxMap['math_1453'] = 'σ2';
MathJaxMap['math_1454'] = 'σ';
MathJaxMap['math_1455'] = 'σ2';
MathJaxMap['math_1456'] = 's2';
MathJaxMap['math_1457'] = 'X2';
MathJaxMap['math_1458'] = 'χ2';
MathJaxMap['math_1459'] = 'χ2';
MathJaxMap['math_1460'] = 'χ2';
MathJaxMap['math_1461'] = 'χ2';
MathJaxMap['math_1462'] = 'χ2';
MathJaxMap['math_1463'] = 'σ2';
MathJaxMap['math_1464'] = 'σ';
MathJaxMap['math_1465'] = 'χ1−α/22';
MathJaxMap['math_1466'] = 'χα/22';
MathJaxMap['math_1467'] = 'n=50';
MathJaxMap['math_1468'] = 'χ0.952=26.509';
MathJaxMap['math_1469'] = 'χ0.052=55.758';
MathJaxMap['math_1470'] = 'χ0.9952=27.2493';
MathJaxMap['math_1471'] = 'χ0.052=66.3386';
MathJaxMap['math_1472'] = 'n=50';
MathJaxMap['math_1473'] = 'n=50';
MathJaxMap['math_1474'] = 'χ0.9952=20.707';
MathJaxMap['math_1475'] = 'χ0.0052=66.766';
MathJaxMap['math_1476'] = 'χ0.9952=27.2493';
MathJaxMap['math_1477'] = 'χ0.0052=78.230';
MathJaxMap['math_1478'] = 'n=20';
MathJaxMap['math_1479'] = 'n=25';
MathJaxMap['math_1480'] = 'χ0.9752=12.401';
MathJaxMap['math_1481'] = 'χ0.0252=39.364';
MathJaxMap['math_1482'] = 'n=30';
MathJaxMap['math_1483'] = 'χ1−α/22';
MathJaxMap['math_1484'] = 'χα/22';
MathJaxMap['math_1485'] = 'n=100';
MathJaxMap['math_1486'] = 's2=25';
MathJaxMap['math_1487'] = 'σ2';
MathJaxMap['math_1488'] = 'σ2';
MathJaxMap['math_1489'] = 'σ2';
MathJaxMap['math_1490'] = 'σ';
MathJaxMap['math_1491'] = 'σ';
MathJaxMap['math_1492'] = 'σ';
MathJaxMap['math_1493'] = 'σ2';
MathJaxMap['math_1494'] = 'σ';
MathJaxMap['math_1495'] = 's2=25';
MathJaxMap['math_1496'] = 'σ2';
MathJaxMap['math_1497'] = 'n=30';
MathJaxMap['math_1498'] = 'σ2';
MathJaxMap['math_1499'] = 'n=40';
MathJaxMap['math_1500'] = 'σ2';
MathJaxMap['math_1501'] = 'n=50';
MathJaxMap['math_1502'] = 'σ';
MathJaxMap['math_1503'] = 'n=30';
MathJaxMap['math_1504'] = 'σ';
MathJaxMap['math_1505'] = 'n=40';
MathJaxMap['math_1506'] = 'σ';
MathJaxMap['math_1507'] = 'n=50';
MathJaxMap['math_1508'] = 'σ2';
MathJaxMap['math_1509'] = 'σ';
MathJaxMap['math_1510'] = 'χ1−α/22';
MathJaxMap['math_1511'] = 'χα/22';
MathJaxMap['math_1512'] = 'σ2';
MathJaxMap['math_1513'] = 'σ2';
MathJaxMap['math_1514'] = 'σ';
MathJaxMap['math_1515'] = 'χ0.9752=2.180';
MathJaxMap['math_1516'] = 'χ0.0252=17.535';
MathJaxMap['math_1517'] = 'σ2';
MathJaxMap['math_1518'] = 'σ';
MathJaxMap['math_1519'] = 'χ1−α/22';
MathJaxMap['math_1520'] = 'χα/22';
MathJaxMap['math_1521'] = 'σ2';
MathJaxMap['math_1522'] = 'σ2';
MathJaxMap['math_1523'] = 'σ';
MathJaxMap['math_1524'] = 'σ';
MathJaxMap['math_1525'] = 'σ';
MathJaxMap['math_1526'] = 'σ';
MathJaxMap['math_1527'] = 'σ';
MathJaxMap['math_1528'] = 'E';
MathJaxMap['math_1529'] = 'Z';
MathJaxMap['math_1530'] = 'μ';
MathJaxMap['math_1531'] = 'Z';
MathJaxMap['math_1532'] = 'μ';
MathJaxMap['math_1533'] = 'E';
MathJaxMap['math_1534'] = 't';
MathJaxMap['math_1535'] = 'μ';
MathJaxMap['math_1536'] = 't';
MathJaxMap['math_1537'] = 't';
MathJaxMap['math_1538'] = 't';
MathJaxMap['math_1539'] = 'μ';
MathJaxMap['math_1540'] = 'E';
MathJaxMap['math_1541'] = 'Z';
MathJaxMap['math_1542'] = 'p';
MathJaxMap['math_1543'] = 'p̂';
MathJaxMap['math_1544'] = 'p̂';
MathJaxMap['math_1545'] = 'Z';
MathJaxMap['math_1546'] = 'p';
MathJaxMap['math_1547'] = 'χ2';
MathJaxMap['math_1548'] = 'σ';
MathJaxMap['math_1549'] = 'σ2';
MathJaxMap['math_1550'] = 'σ/n';
MathJaxMap['math_1551'] = 'Zα/2';
MathJaxMap['math_1552'] = 'μ';
MathJaxMap['math_1553'] = 'E';
MathJaxMap['math_1554'] = 'μ';
MathJaxMap['math_1555'] = 'μ';
MathJaxMap['math_1556'] = 'n=16';
MathJaxMap['math_1557'] = 'x¯=100';
MathJaxMap['math_1558'] = 'σ=20';
MathJaxMap['math_1559'] = 'Zα/2=1.96';
MathJaxMap['math_1560'] = 'E=9.8';
MathJaxMap['math_1561'] = 'μ';
MathJaxMap['math_1562'] = 'μ';
MathJaxMap['math_1563'] = 'n=400';
MathJaxMap['math_1564'] = 'x¯=100';
MathJaxMap['math_1565'] = 'σ=20';
MathJaxMap['math_1566'] = 'σ/n.';
MathJaxMap['math_1567'] = 'Zα/2';
MathJaxMap['math_1568'] = 'μ';
MathJaxMap['math_1569'] = 'μ';
MathJaxMap['math_1570'] = 'μ';
MathJaxMap['math_1571'] = 'σ=50';
MathJaxMap['math_1572'] = 'σ=30';
MathJaxMap['math_1573'] = 'σ=10';
MathJaxMap['math_1574'] = 'n=25';
MathJaxMap['math_1575'] = 'x¯=42';
MathJaxMap['math_1576'] = 's=5';
MathJaxMap['math_1577'] = 'n=25';
MathJaxMap['math_1578'] = 'x¯=42';
MathJaxMap['math_1579'] = 's=5';
MathJaxMap['math_1580'] = 'n=100';
MathJaxMap['math_1581'] = 'x¯=42';
MathJaxMap['math_1582'] = 's=5';
MathJaxMap['math_1583'] = 'Zα/2';
MathJaxMap['math_1584'] = 'E=Zα/2p̂⋅q̂/n';
MathJaxMap['math_1585'] = 'p';
MathJaxMap['math_1586'] = 'n=10';
MathJaxMap['math_1587'] = 'x=5';
MathJaxMap['math_1588'] = 'n=500';
MathJaxMap['math_1589'] = 'p̂=0.01';
MathJaxMap['math_1590'] = 'Zα/2=1.96';
MathJaxMap['math_1591'] = 'x=np^=(500)(0.01)=5';
MathJaxMap['math_1592'] = '≥5';
MathJaxMap['math_1593'] = 'n−x=500−5=495';
MathJaxMap['math_1594'] = '≥5';
MathJaxMap['math_1595'] = 'E=0.0087';
MathJaxMap['math_1596'] = 'p';
MathJaxMap['math_1597'] = 'p';
MathJaxMap['math_1598'] = 'p̂';
MathJaxMap['math_1599'] = 'p̂=0.1';
MathJaxMap['math_1600'] = 'p̂=0.01';
MathJaxMap['math_1601'] = 'p̂=0.001';
MathJaxMap['math_1602'] = 'p';
MathJaxMap['math_1603'] = 'p̂';
MathJaxMap['math_1604'] = 'n=100';
MathJaxMap['math_1605'] = 's2=256';
MathJaxMap['math_1606'] = 'σ2';
MathJaxMap['math_1607'] = 'σ2';
MathJaxMap['math_1608'] = 'σ';
MathJaxMap['math_1609'] = 'σ';
MathJaxMap['math_1610'] = 'σ';
MathJaxMap['math_1611'] = 'μ';
MathJaxMap['math_1612'] = 't';
MathJaxMap['math_1613'] = 'Z';
MathJaxMap['math_1614'] = 't';
MathJaxMap['math_1615'] = 'μ';
MathJaxMap['math_1616'] = 't';
MathJaxMap['math_1617'] = 'Z';
MathJaxMap['math_1618'] = 'α';
MathJaxMap['math_1619'] = 'Zα/2';
MathJaxMap['math_1620'] = 'α';
MathJaxMap['math_1621'] = 'x';
MathJaxMap['math_1622'] = 'Z';
MathJaxMap['math_1623'] = 't';
for (var key in MathJaxMap) {
if (MathJaxMap.hasOwnProperty(key)) {
$('[data-math=' + key + ']').html('');
//console.log($('[data-math=' + key + ']').text());
}
}
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cache: true
});
//$.getScript( "https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML" );
load_mathjax();