# Project #49841 - T-test homework

Friedman and Rosenman (1974) have classified people into two categories: Type A personalitites and Type B personalities.  Type A's are hard-driving, competitive, and ambitious.  Type B's are more relaxed, easy-going people.  One factor that dfferentiates these two groups is the chronically high level of frustration experienced by Type A's.  To demonstrate this phenomenon, separate samples of Type A's and Type B's were obtained, with n = 8 in each sample. The individual subjects were all given a frustration inventory measuring level of frustration.  The average score for the Type A's was M1 = 85.50 with SS1 = 718.33 and s12 = 102.62, and the Type B's average was M2 = 70.25 with SS2 = 642.50 and s22 = 91.79.  Do these data indicate a significant difference between the two groups?  Use a two-tailed test with a = .01.  Questions 1-13 are for this study.

1. What statistical analysis will you use to analyze data for this study?

a.z-test

b.t-test for independent samples

c.t-test for related samples (repeated measures)

d.t-test for a single sample

2. What is the null hypothesis (H0) for this study?

a.

µ1 - µ2 ? 0

b.

µ1 - µ2 = 0

c.

µD ? 0

d.

µD = 0

3. What is the alternative hypothesis (H1) for this study?

a.

µD ? 0

b.

µD = 0

c.

µ1 - µ2 = 0

d.

µ1 - µ2 ? 0

4. What df value will you use to determine the critical value for this analysis?

a.

14

b.

7

c.

6

d.

15

5. What is the critical value for this analysis?

a.

+ 2.977

b.

+ 3.499

c.

+ 3.707

d.

+ 2.947

6. Identify the standard error value you will use in the demoninator of the calculated t-ratio.

a.

5.27

b.

4.93

c.

3.49

d.

3.73

7. What is the calculated t-ratio for this analysis?

a.

4.370

b.

3.093

c.

4.088

d.

2.894

8. Identify what decision you will make regarding the null hypothesis (H0) with the corresponding APA format results.

a.

Reject H0, t(6) = 4.370, p < .01

b.

Reject H0, t(7) = 4.088, p < .01

c.

Fail to Reject H0, t(15) = 2.894, p > .01

d.

Reject H0, t(14) = 3.093, p < .01

9.  What is the effect size value for this analysis?

a.

0.16

b.

4.64

c.

1.41

d.

1.55

10. Complete an Fmax test and report if you have violated the assumption of homogeneity of variance using an a = .01.

Fmax critical =

Calculated Fmax value =

Have you violated the assumption for homogeneity of variance - Yes or No?

11. Describe your results in plain English including and explanation of effect size.

12. Identify the 90% confidence interval associated with this analysis.

a.

6.57, 23.93

b.

5.97, 24.53

c.

-0.44, 30.94

d.

0.57, 29.93

13. Describe what the 90% confidence interval tells about the population mean.

One of the benefits of aerobic exercise is the release of endorphins, which are natural chemicals in the brain that produce a feeling of general well-being.  A sample of n = 20 subjects was obtained, and each person's tolerance for pain was tested before and after a 50-minute session of aerobic exercise.  On average, the pain tolerance for this sample is MD = -13.46 points (D = X1 - X2) with pain tolerance higher after exercise than before.  The SS for the sample of difference scores is SS = 968.00 and s2 = 50.95.  Do these data indicate a significnat increase in pain tolerance following exercise.  Use a one-tailed test with a = .05.  Questions 14-25 are for this study.

14. What statistical analysis will you use to analyze data for this study?

a.

t-test for a single sample

b.

t-test for independent samples

c.

z-test

d.

t-test for related samples (repeated measures)

15. What is the null hypothesis (H0) for this study?

a.

µ1 - µ2 < 0

b.

µD > 0

c.

µ1 - µ2 > 0

d.

µD < 0

16. What is the alternative hypothesis (H1) for this study?

a.

µ1 - µ2 < 0

b.

µD < 0

c.

µ1 - µ2 > 0

d.

µD > 0

17. What df value will you use to determine the critical value for this analysis?

a. 19

b. 18

c. 38

d. 39

18.  What is the critical value for this analysis?

a.

- 1.729

b.

- 1.684

c.

- 1.734

d.

- 1.697

19. Identify the standard error value you will use in the demoninator of the calculated t-ratio.

a.

1.60

b.

2.68

c.

1.64

d.

2.55

20. What is the calculated t-ratio for this analysis?

a.

-8.413

b.

-8.207

c.

-5.278

d.

-5.022

21. Identify what decision you will make regarding the null hypothesis (H0) with the corresponding APA format results.

a.

Reject H0, t(19) = -8.413, p < .05

b.

Reject H0, t(18) = -8.207, p < .05

c.

Reject H0, t(19) = -5.278, p < .05

d.

Reject H0, t(18) = -5.022, p < .05

22. What is the effect size value for this analysis?

a.

8.41

b.

1.89

c.

10.64

d.

0.26

23.  Describe your results in plain English including and explanation of effect size.

24. Identify the 95% confidence interval associated with this analysis.

a.

-10.03, -16.89

b.

-10.69, -16.22

c.

-10.11, -16.81

d.

-10.62, -16.30

25.  Describe what the 95% confidence interval tells about the population mean.

 Subject Mathematics Due By (Pacific Time) 12/02/2014 12:00 am
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