Chapter 1. Tests for a Population Mean

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Questions 1-2

1:57

Question 1.1

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Incorrect. We have evidence to believe Ha when we reject H0 and we reject H0 when P-value < α.
Correct. We have evidence to believe Ha when we reject H0 and we reject H0 when P-value < α.
Incorrect. Try again.
2

Question 1.2

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Incorrect. We do not have evidence to believe Ha when we fail to reject H0 and we fail to reject H0 when P-value > α. We never conclude H0 is correct.
Correct. We do not have evidence to believe Ha when we fail to reject H0 and we fail to reject H0 when P-value > α. We never conclude H0 is correct.
Incorrect. Try again.
2

Question 3

3:02

Question 1.3

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Incorrect. In using H0 to specify the center of the sampling distribution of \(\overline{x} \), we are assuming H0 is correct.
Correct. In using H0 to specify the center of the sampling distribution of \(\overline{x} \), we are assuming H0 is correct.
Incorrect. Try again.
2

Question 4

4:15

Question 1.4

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Incorrect. "≠” in Ha indicates that the hypotheses are two-sided.
Correct. "≠” in Ha indicates that the hypotheses are two-sided.
Incorrect. Try again.
2

Question 5

5:55

Question 1.5

T79jcU66jCu7i9uAznDtC58ajmuuEbVhHN1YIclqJjzUcBcxuPiAkfEFh26N7QQ/hJHbMde6/vgidiFUu17jukrA6pxmnCIHFnuLSQuqkt3vlSVHH+G2+2MMFDHbGzII38gOxnIW/vxs0FnRtJiCf877R+dVhEhFV9ljwIxoqVCJQEloMy9xrCxb0CmSiNYih7njwy4iT//4xCy6NonMm+wgkKZe7yiei6F4Q0OgAfv7m7oyyFdVkgFXnQx7Pj7gtWo7+EMGkqV3r660mE0YxPx6J44JXgq7bOB2Qy9LTwUf3YU6EoKMZMM6vmFX1qPXAXZnZbaVHaCb8QsEiLHuiadVW2HsBb1ytLbfSLbDLnyvzynGb67Gicm7MIfN2bL3cmbO1fqzP/I=
Incorrect. The direction in Ha tells us which tail contains the P-value for the test.
Correct. The direction in Ha tells us which tail contains the P-value for the test.
Incorrect. Try again.
2

Question 6

7:21

Question 1.6

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Incorrect. The research question is “Is the mean for all BYU students less than 6?” So, Ha is “μ < 6.”
Correct. The research question is “Is the mean for all BYU students less than 6?” So, Ha is “μ < 6.”
Incorrect. Try again.
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Questions 7-8

11:25

Question 1.7

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Incorrect. The direction specified in Ha tells us which tail in which to find P-value in the sampling distribution of \(\overline{x} \).
Correct. The direction specified in Ha tells us which tail in which to find P-value in the sampling distribution of \(\overline{x} \).
Incorrect. Try again.
2

Question 1.8

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Incorrect. We computed the probability of getting \(\overline{x} \) = 5.2 or lower if μ = 6.
Correct. We computed the probability of getting \(\overline{x} \) = 5.2 or lower if μ = 6.
Incorrect. Try again.
2

Questions 9-10

11:31

Question 1.9

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Incorrect. Since P-value = 0.0018 is less than α = 0.10, we reject H0.
Correct. Since P-value = 0.0018 is less than α = 0.10, we reject H0.
Incorrect. Try again.
2

Question 1.10

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Incorrect. Since P-value = 0.0018 is less than α = 0.10, we reject H0 and we can conclude Ha is correct.
Correct. Since P-value = 0.0018 is less than α = 0.10, we reject H0 and we can conclude Ha is correct.
Incorrect. Try again.
2

Question 11

11:43

Question 1.11

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Incorrect. Whenever P-value is less than α we have sufficience evidence to conclude Ha is correct.
Correct. Whenever P-value is less than α we have sufficience evidence to conclude Ha is correct.
Incorrect. Try again.
2

Question 12

13:43

Question 1.12

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Incorrect. The research question is “Has the training raised the mean above 483?” So, Ha is “μ > 483.”
Correct. The research question is “Has the training raised the mean above 483?” So, Ha is “μ > 483.”
Incorrect. Try again.
2

Questions 13-14

17:43

Question 1.13

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Incorrect. The direction specified in Ha tells us which tail in which to find P-value in the sampling distribution of \(\overline{x} \).
Correct. The direction specified in Ha tells us which tail in which to find P-value in the sampling distribution of \(\overline{x} \).
Incorrect. Try again.
2

Question 1.14

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Incorrect. We computed the probability of getting \(\overline{x} \) = 499.1 or greater if μ = 483.
Correct. We computed the probability of getting \(\overline{x} \) = 499.1 or greater if μ = 483.
Incorrect. Try again.
2

Questions 15-16

17:58

Question 1.15

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Incorrect. Since P-value = 0.2358 is NOT less than α = 0.05, we do NOT reject H0.
Correct. Since P-value = 0.2358 is NOT less than α = 0.05, we do NOT reject H0.
Incorrect. Try again.
2

Question 1.16

OBx4DM9nsf1r2RPUZ98QbQmdNxMDMAGppf073MTphP63T+b3n+84jkUbrHZn97Y9NRtL5lwepUqkjw+gFj8UBAdCP2q+0sC8tUJKM3ooh7MgFvQIvG69u8FFJ2o7mI5tPzbvuvNVbOk=
Incorrect. Since P-value = 0.2358 is NOT less than α = 0.05, we do NOT reject H0 and we cannot conclude Ha is correct.
Correct. Since P-value = 0.2358 is NOT less than α = 0.05, we do NOT reject H0 and we cannot conclude Ha is correct.
Incorrect. Try again.
2

Question 17

18:57

Question 1.17

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Incorrect. Whenever P-value is NOT less than α we have insufficience evidence to conclude Ha is correct.
Correct. Whenever P-value is NOT less than α we have insufficience evidence to conclude Ha is correct.
Incorrect. Try again.
2

Question 18

20:24

Question 1.18

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Incorrect. The research question is “Does the mean differ from 128?” So, Ha is “μ ≠ 128.”
Correct. The research question is “Does the mean differ from 128?” So, Ha is “μ ≠ 128.”
Incorrect. Try again.
2

Question 19

22:00

Question 1.19

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Incorrect. If data are not appropriately collected, P-values and confidence levels are not accurate.
Correct. If data are not appropriately collected, P-values and confidence levels are not accurate.
Incorrect. Try again.
2

Question 20

26:28

Question 1.20

W/vFCEXoJOaw4QtWItfqGU7UMfe8txEEMefdD57pjXtGvVvPNHh80ePbourj0rG3LpQMf5x/tK7c/rmfsYpnAWKPM9jbgb+vf7q/uZjzCvMY6qOaIzjRkyvQCTfw6/RAYXEhJzEe1hBBwznMqWaYrg946Ll4R2xjy+3QIG/EDEZhcf6mFUx4A9p42p2x/jNFkhJ/BEZwX1gYIinDVjkaiiyWKSJU9wCgBCPY8j99Xzo0N5Hs47IgP6msO5Ib0V115E3tStcHLixry4w5rKfEqMwC4zQZqrGfI32XjHgIbBbYnvfJJFqrIwTdRbwFkM4AvCBB+23oncifdci71RkowCPCsOypD1VjTiYuNA==
Incorrect. The direction specified in Ha tells us which tail(s) in which to find P-value in the sampling distribution of \(\overline{x} \). Since we have “≠” in Ha, we have a two-sided test and P-value is the area in both tails.
Correct. The direction specified in Ha tells us which tail(s) in which to find P-value in the sampling distribution of \(\overline{x} \). Since we have “≠” in Ha, we have a two-sided test and P-value is the area in both tails.
Incorrect. Try again.
2

Questions 21-22

26:45

Question 1.21

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Incorrect. Since P-value = 0.2758 is NOT less than α = 0.05, we do NOT reject H0.
Correct. Since P-value = 0.2758 is NOT less than α = 0.05, we do NOT reject H0.
Incorrect. Try again.
2

Question 1.22

OBx4DM9nsf1r2RPUZ98QbQmdNxMDMAGppf073MTphP63T+b3n+84jkUbrHZn97Y9NRtL5lwepUqkjw+gFj8UBAdCP2q+0sC8tUJKM3ooh7MgFvQIvG69u8FFJ2o7mI5tPzbvuvNVbOk=
Incorrect. Since P-value = 0.2758 is NOT less than α = 0.05, we do NOT reject H0 and we cannot conclude Ha is correct.
Correct. Since P-value = 0.2758 is NOT less than α = 0.05, we do NOT reject H0 and we cannot conclude Ha is correct.
Incorrect. Try again.
2

Question 23

27:44

Question 1.23

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Incorrect. Whenever P-value is NOT less than α we have insufficience evidence to conclude Ha is correct.
Correct. Whenever P-value is NOT less than α we have insufficience evidence to conclude Ha is correct.
Incorrect. Try again.
2

Question 24

29:32

Question 1.24

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Incorrect. The direction in the alternative hypothesis specifies the tail (or tails) where we find the area of P-value.
Correct. The direction in the alternative hypothesis specifies the tail (or tails) where we find the area of P-value.
Incorrect. Try again.
2