A professor of women's studies is interested in determining if stress affects the menstrual cycle. Ten women are randomly sampled for an experiment and randomly divided into two groups. One of the groups is subjected to high stress for two months while the other lives in a relatively stress-free environment. The professor measures the menstrual cycle (in days) of each woman during the second month. The following data are obtained.   High stress 20 23 18 19 22  n1-1 Relatively stress free 26 31 25 26 30 n2-1           __          8.   Refer to Case Study 14-1. The obtained value of the appropriate statistic is _________. a. tobt = -4.73 b. tobt = -4.71 c. tobt = -3.05 d. tobt = -0.47                   ____      9.   Refer to Case Study 14-1. The df for determining tcrit are _________. a. 4 b. 9 c. 8 d. 3     ____   10.   Refer to Case Study 14-1. Using a = .052 tail, tcrit = _________. a. +2.262 b. +2.306 c. ±2.262 d. ±2.306     ____   11.   Refer to Case Study 14-1. Using a = .052 tail, your conclusion is _________. a. accept H0; stress does not affect the menstrual cycle b. retain H0; we cannot conclude that stress affects the menstrual cycle c. retain H0; stress affects the menstrual cycle d. reject H0; stress affects the menstrual cycle

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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Case Study 14-1

A professor of women's studies is interested in determining if stress affects the menstrual cycle. Ten women are randomly sampled for an experiment and randomly divided into two groups. One of the groups is subjected to high stress for two months while the other lives in a relatively stress-free environment. The professor measures the menstrual cycle (in days) of each woman during the second month. The following data are obtained.

 

High stress

20

23

18

19

22  n1-1

Relatively stress free

26

31

25

26

30

n2-1

 

 

 

 

 

__          8.   Refer to Case Study 14-1. The obtained value of the appropriate statistic is _________.

a.

tobt = -4.73

b.

tobt = -4.71

c.

tobt = -3.05

d.

tobt = -0.47

 

 

 

 

 

 

 

 

 

____      9.   Refer to Case Study 14-1. The df for determining tcrit are _________.

a.

4

b.

9

c.

8

d.

3

 

 

____   10.   Refer to Case Study 14-1. Using a = .052 tail, tcrit = _________.

a.

+2.262

b.

+2.306

c.

±2.262

d.

±2.306

 

 

____   11.   Refer to Case Study 14-1. Using a = .052 tail, your conclusion is _________.

a.

accept H0; stress does not affect the menstrual cycle

b.

retain H0; we cannot conclude that stress affects the menstrual cycle

c.

retain H0; stress affects the menstrual cycle

d.

reject H0; stress affects the menstrual cycle

 

 

 

 

  1. (1 points) Using the data above calculate omega squared

 

 

  1. (2 points) Using the data above calculate cohen’s d

 

Case Study 14-2

A health educator wants to evaluate the effect of a dental film on the frequency with which children brush their teeth. A random selection of 8 children are used for the experiment. First, a baseline of the number of times the children brush their teeth over a month's period is established. Next, the children are shown the dental film and again the number of teeth brushings are recorded for a month. The following data are recorded.

 

Subject

1

2

3

4

5

6

7

8

After film

28

29

25

30

25

27

28

24

Baseline

25

28

22

30

26

24

25

22

 

 

____   14.   Refer to Case Study 14-2. The obtained value of the appropriate statistic is _________.

a.

-3.13

b.

3.14

c.

3.58

d.

3.57

 

 

 

____   15.   Refer to Case Study 14-2. The df for determining tcrit equal _________.

a.

8

b.

16

c.

7

d.

14

 

 

____   16.   Refer to Case Study 14-2. Using a = .052 tail, tcrit = _________.

a.

+2.365

b.

±2.365

c.

±2.145

d.

+2.365

 

 

____   17.   Refer to Case Study 14-2. Using a = 0.052 tail, what do you conclude?

a.

retain H0; the film has no effect on the frequency of tooth brushing

b.

reject H0; the film affects the frequency of tooth brushing

c.

accept H0; the film has no effect on the frequency of tooth brushing

d.

reject H0; chance alone is a reasonable explanation of the data

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