Chapter 10 Exercises

Clarifying the Concepts

Question 10.1

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Question 10.2

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Question 10.3

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Question 10.4

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Question 10.5

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Question 10.6

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Question 10.7

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Question 10.8

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Question 10.9

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Question 10.10

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Question 10.11

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Question 10.12

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Question 10.13

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Question 10.14

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Calculating the Statistics

Question 10.15

Identify critical t values for each of the following tests:

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  2. 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

Question 10.16

Assume 8 participants completed a mood scale before and after watching a funny video clip.

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  2. zrCd9klachYyc3WrG8jrXJGr5D5thpogxwrDG97sqisFMAlkZir2ICvNgnGUd3XfIF7mqygpk3fnLMjdeg3RMLKUXmhXLF6PRyw24DWC9H44EaoSpmIaGVBgSC0694VRwvZubSiOUwVzD4E2D3/irGXNPZbyLH09MI8ZKDNEQs33uCLXUCBki+9C82OQVimhSU83Z7ck7+i8Hxp7s+o622WwAbLfdTzwK2fp52IcClCDUmDIQ187cRpLZY46EYGBnHVELSwLVTr3c5dYrAIm4doHYDwV61ihefFnCO2HfLBkNDlTo0RRXg==

Question 10.17

The following are scores for 8 students on two different exams.

Exam I Exam II
92 84
67 75
95 97
82 87
73 68
59 63
90 88
72 78
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  2. jsq4CFA6I4eVeoviaASLc449GobJuSwqvur46AW093wM/1+G7aDIm8KLj11S0eTJ5IOsEHO+daz/RPQ7EZKbLITjpVOqdrq2G6qw6SLlD1cykYMhydC+rAOVJ5QKrz68w5VWv2oYJyCbc+fvAD/Z+FrlWBJfNQGv7WnXn7papysnhjTaL8lbL0BqcgL4uInZ6YsgHHmXqsQOtzW17G86CpDhKKgHnfJr1z18kBZ3v2asENqhTfI1+RSmtgAO+9CQGT5R3mDqA4IEtE/e+kwN68jWopg=
  3. QH8NT4BTrGcoA0LKIvB7/wuda6x+CQuqBpG1YWoYQiCrIY+abmNFKeABb27acKZRnoKUkwpaNhUPANw/5eO0tKiwkz4ywfOQBRvutlwfhqPjza62Akx5fORXtEBUyJlW2/tjNu2R+KUOhhnyECMQS+eAtTdmP9KvWMAbF4TrpRUOD03kSucbwEbPZBRmVPr39zlslZ1JYD2L43jTEAe6ZizyM664h721J/sPXYfTYC6kd/eJhoKnL4Mi7G3i2RRK4AjAHgGUo4JOWCwgISdKE6fvHXVYqHEB/YbNP7AVVY+EWZfydBVD4I3YZPOpTnh6AfNr9PDRiHN+Fedb8S7R9G/3i7pYAyDQekfxwQ5CC/J5N49Rr2hXUfNdlRq/8mR2tQcJlqxlKq7t7Nn45g1ot7F3lGshU9CbXKlLkC2afccWluUhMpa2aKf0n13IVXymO6AkXZlFum1oEPghF2PSjDKGuhAeR4Kd8FJNjLcQKns=
  4. YhMXDsEZWOt4DD1MxwYt1uY2vPuFKbY30STRFaRxdXZjEHZ73DlnQ+2/1iSvAhOG2T0ZluqqiqoLiXwaZcYqiYceOsMtFLIAX9MdfQ7mdMZ1b6NaEsBibK25WBTNZo182bCdMg==

Question 10.18

The following are mood scores for 12 participants before and after watching a funny video clip (higher values indicate better mood).

Before After Before After
7 2 4 2
5 4 7 3
5 3 4 1
7 5 4 1
6 5 5 3
7 4 4 3

258

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  2. LLZ9mt6eBOiCQkmnP/eHjMCMjNNagyfjqTWGz+o1tOP3bHKEJa3CAeCU4Opj46Gif7lHQfvAxwlpiT0Ud1IOP0kW7EpgY6AjUV0di0ZtV7vzrR4/xBjckG8x5o9Voy2IAyRj1lh3NCHBsf8it7XeolJga4+pVSgmwpIoaR2XyFcgBeBUVkWBViJB/wrhfLXJoa76gp3OlOAtXQJHY8PJTMWNbf5LYWQSUNvRVKxh3pwMmIJTavNPeHKpXlTdHEoH2W30gj27h1PPpq8EH73kntQRMs1phdmMyHSCTsmhKBPc9qiEIOzJTyzymnel2lHFsevaaOwQuX4r3gjiw4nbhw==
  3. MjJ3aH/Lfr3f/2LOW3rS1/f4ozMBDDjOSqrsJI2d9yRmiqPfgE5X1y356Gv+Euzjozp+wQjqfrNAQZVUVthUauCj7IFlIm8YIiPiU9Sbgfi+d5YB/S/7Ba8PiyJChTXb4eAKzkQJ1s6RYiFrXW4jJi8EWw96Yr8mxjfbPleN/NM08ZxvA94kgaRUQ/nOGec3ZWyJm06URrXrqR6u+QDRa5ea+jjn3FolnJMz7BYKDVhwnzTDteFB7310rhpwa1I1fzPN9B6g78K0ILTf+EQGKrHtp52asm2lnfSu71AyHVA=

Question 10.19

Consider the following data:

Score 1 Score 2 Score 1 Score 2
45 62 15 26
34 56 51 56
22 40 28 33
45 48
  1. 0Uz/fDzgNjPEmTUnOY07VfubsJqxk+B87ekvJh9svbZ/D/bDFqO2hK2UCWBDhqsMfP+uO/WkCP6uKOCdHiROwGlLHvLQt+lu+yEhwGj9Duvcc2KnVPhWo8EDynztU8WlUXKcFiUygZXYIqU/TDRHLIT5or+5YKGgdoImt4FxipPEacRP4M6yHC+KcLmsYcWreTuYe5+do0vbvVSZg49ix1fm4tiH+cFPd+LuJekWyo7qKINykSQEWHk9cgg=
  2. DTfVC80Ju05I1ogzlVNM/czFLXNOOJgItdPkw24H+P425ue5gfrW91RWV9qzNkdgxBfob1Q4gnO+KUzt+ZuQgQlM2jUWxP7zmyKJluZXHcafrKLEgmyN9uWJ2tDm9f32ns1wz0/B8UnllIYXM+LvfRh/hP2sQP3blvMj/gJKU6/1NxXJ
  3. Tr1tZXRI+lZi2Z7twzkQkSvncPzFrOCvSZW8QeXTVG9WnO65AbTsN7Na3EmDGn/k8wAU35Uf8Jp6gLApCHkqYUmriHE=

Question 10.20

Consider the following data.

Score 1 Score 2
23 16
30 12
28 25
30 27
14 6
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  2. HsZ3XiUtzLTVvxXZUj9KuADnivxac6PpiIMeRowOP+nAtMvPbtvDuRy0ytxI+SmqthO4GHfCCWk=
  3. GjuDOeCJ2+zkA4X9nh9Z45etttetsWBfF2MTJdkIDg1U66kGfcb4NR4mWvU=

Question 10.21

Assume we know the following for a paired-samples t test: N = 13, Mdifference = −0.77, s = 1.42.

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  2. NqK6AhTirY8X/rA1aQ4UChwdUtK9+f2kCdJvziKNnNdTCqSsNipJ8qEv/6LUHQTBNGlE+eYKE6H7dQ/0knFBIZ0lHzADKjT/o9PXuCR8k869p4MmlX2dlo3i/dMhOKTRG7Cfwn08lpqM7rusqRqrGQZpqQezYlY7eubU1A==
  3. AjSxSxSMned3jDIlzUame7M4gx+DJaS2nBEX9YLgAzkC4scr4jJ0VGxLqtH+a2isFu4Bi99kuyopr+95jh2dWSekTvk=

Question 10.22

Assume we know the following for a paired-samples t test: N = 32, Mdifference = 1.75, s = 4.0.

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  2. NqK6AhTirY8X/rA1aQ4UChwdUtK9+f2kCdJvziKNnNdTCqSsNipJ8qEv/6LUHQTBNGlE+eYKE6H7dQ/0knFBIZ0lHzADKjT/o9PXuCR8k869p4MmlX2dlo3i/dMhOKTRG7Cfwn08lpqM7rusqRqrGQZpqQezYlY7eubU1A==
  3. pK81oA6XnMnpXXU6CNRuCSeQmxtw1ydhWuVOKGziiclqzi0h33HLhVHrPGaJo7fEJABcVcB2CHsIDCBcEr/Mxd3Z1mfKIoWe

Applying the Concepts

Question 10.23

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Question 10.24

t tests and retail: Many communities worldwide are lamenting the effects of so-called big box retailers (e.g., Walmart) on their local economies, particularly on small, independently owned shops. Do these large stores affect the bottom lines of locally owned retailers? Imagine that you decide to test this premise. You assess earnings at 20 local stores for the month of October, a few months before a big box store opens. You then assess earnings the following October, correcting for inflation.

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  3. 13SVa11ypzalTe7PhFZnmLq9Wlyug35R38WBi1N/oDnMivCUrw6wItoGAcdb5GKLkAnfzzrYd5lefRjGb7pJVw==
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Question 10.25

Paired-samples t tests, confidence intervals, and hockey goals: Below are the numbers of goals scored by the lead scorers of the New Jersey Devils hockey team in the 2007–2008 and 2008–2009 seasons. On average, did the Devils play any differently in 2008–2009 than they did in 2007–2008?

Player 2007–2008 2008–2009
Elias 20 31
Zajac 14 20
Pandolfo 12 5
Langenbrunner 13 29
Gionta 22 20
Parise 32 45
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Question 10.26

Paired-samples t test and graduate admissions: Is it harder to get into graduate programs in psychology or history? We randomly selected five institutions from among all U.S. institutions with graduate programs. The first number for each is the minimum grade point average (GPA) for applicants to the psychology doctoral program, and the second is for applicants to the history doctoral program. These GPAs were posted on the Web site of the well-known college guide company Peterson’s.

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Question 10.27

Attitudes toward statistics and the paired-samples t test: A professor wanted to know if her students’ attitudes toward statistics changed by the end of the course, so she asked them to fill out an “Attitudes Toward Statistics” scale at the beginning of the term and at the end of the term.

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Question 10.28

Paired-samples t tests, confidence intervals, and wedding-day weight loss: It seems that 14% of engaged women buy a wedding dress at least one size smaller than their current size. Why? Cornell researchers reported an alarming tendency for women who are engaged to sometimes attempt to lose an unhealthy amount of weight prior to their wedding (Neighbors & Sobal, 2008). The researchers found that engaged women weighed, on average, 152.1 pounds. The average ideal wedding weight reported by 227 women was 136.0 pounds. The data below represent the fictional weights of 8 women on the day they bought their wedding dress and on the day they got married. Did women lose weight for their wedding day?

Dress Purchase Wedding Day
163 158
144 139
151 150
120 118
136 132
158 152
155 150
145 146
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Putting It All Together

Question 10.29

Hypnosis and the Stroop effect: In Chapter 1, you were given an opportunity to complete the Stroop test, in which color words are printed in the wrong color; for example, the word red might be printed in the color blue. The conflict that arises when we try to name the color of ink the words are printed in but are distracted when the color word does not match the ink color increases reaction time and decreases accuracy. Several researchers have suggested that the Stroop effect can be decreased by hypnosis. Raz, Fan, and Posner (2005) used brain-imaging techniques to demonstrate that posthypnotic suggestion led highly hypnotizable people to see Stroop words as nonsense words. Imagine that you are working with Raz and colleagues and your assignment is to determine whether reaction times decrease (remember, a decrease is a good thing; it indicates that participants are faster) when highly hypnotizable people receive a posthypnotic suggestion to view the words as nonsensical. You conduct the experiment on six participants, once in each condition, and receive the following data; the first number is reaction time in seconds without the posthypnotic suggestion, and the second number is reaction time with the posthypnotic suggestion:

260

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Question 10.30

Political bias in academia and a paired-samples t test: The following is an excerpt from the abstract (brief opening summary) from a published research study examining a reported bias against conservatives in American academia (Fosse, Gross, & Ma, 2011).

The American professoriate contains a disproportionate number of people with liberal political views. Is this because of political bias or discrimination?…We sent two emails to directors of graduate study in the leading American departments of sociology, political science, economics, history, and English. The emails came from fictitious students who expressed interest in doing graduate work in the department…We analyze responses received in terms of frequency, timing, amount of information provided about the department, emotional warmth, and enthusiasm toward the student. (p. 1)

One of the fictional emails was from a fictional student who mentioned working on the presidential campaign of John McCain, a well-known conservative, and one was from a fictional student who mentioned working on the presidential campaign of Barack Obama, a well-known liberal. The researchers conducted a series of paired-samples t tests, but did not find statistically significant differences on the various measures between the conservative and liberal students.

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