# Project #36394 - Statistics

1) Friedman and Rosenman (1974) have classified people into two categories: Type A personalities 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 differentiates these 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 = 10 in each sample.  The individual subjects were all given a frustration inventory measuring level of frustration.  The average score for Type A's was M1 = 84.00 with SS1 = 738.00, and the Type B's average was M2 = 68.00 with SS2 = 654.00.  Do these data indicate a significant difference between the two groups?  Use a two-tailed test with an alpha level = .01.  Also, complete a Fmax test using an alpha level = .01, and report whether or not you violated the assumption for homogeneity of variance.  Questions 1-16 are for this study.

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

2) Friedman and Rosenman (1974) have classified people into two categories: Type A personalities 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 differentiates these 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 = 10 in each sample.  The individual subjects were all given a frustration inventory measuring level of frustration.  The average score for Type A's was M1 = 84.00 with SS1 = 738.00, and the Type B's average was M2 = 68.00 with SS2 = 654.00.  Do these data indicate a significant difference between the two groups?  Use a two-tailed test with an alpha level = .01.  Also, complete a Fmax test using an alpha level = .01, and report whether or not you violated the assumption for homogeneity of variance.  Questions 1-16 are for this study.

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

3) What is the df value to determine the critical value for this study?

4) What is the tcritical value for this study?

5) Which of the following variance value(s) will you use for the standard error for the difference between means (sm1-m2) calculation?

 a. 69.60 for both b. 73.80 and 65.40 c. 82.00 and 72.67 d. 77.33 for both

6) The standard error for the difference between means (sm1-m2) = ?

7) The calculated t-value = ?

8) What is your Step 4 decision?

 a. Fail to Reject H0, t(18) = calculated t-value, p > .01 b. Fail to Reject H0, t(20) = calculated t-value, p > .01 c. Reject H0, t(18) = calculated t-value, p < .01 d. Reject H0, t(20) = calculated t-value, p < .01

9) What is the variance value for Group 1?

10) What is the variance value for Group 2?

11) What is the calculated Fmax value?

12) What is the Fmax critical value?

13) The assumption for homogeneity of variance was violated.

14) Calculate the effect size for this hypothesis test, d =

Is the effect size Small, Medium, or Large?

15) What is the 95% confidence interval?

16) Write out the results in plain English including an interpretation of effect size.

17) 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 size of n = 26 participants 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 = 14.25 indicating higher tolerance after exercise than beofre (based on D = X2 - X1).  The SS for the sample of difference scores is SS = 848.36.  Do these data indicate a significant increase in pain tolerance following exercise?  Use a one-tailed test with an alpha level = .05.  Questions 17-27 are for this study.

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

 a. μD < 0.00 b. μD > 0.00 c. μD < 0.00 d. μD > 0.00

18) 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 size of n = 26 participants 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 = 14.25 indicating higher tolerance after exercise than beofre (based on D = X2 - X1).  The SS for the sample of difference scores is SS = 848.36.  Do these data indicate a significant increase in pain tolerance following exercise?  Use a one-tailed test with an alpha level = .05.  Questions 17-27 are for this study.

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

19) What is the df value to determine the critical value for this study?

20) What is the tcritical value for this study?

21) What variance value will you use for the standard error of mean differences (sMD) calculation?

22) The standard error value (sMD) = ?

23) The calculated t-value = ?

24) What is your Step 4 decision?

25) Calculate the effect size for this hypothesis test, d =

Is the effect size Small, Medium, or Large?

26) What is the 95% confidence interval?

 a. 11.90 - 16.60 b. 12.60 - 15.90 c. 12.93 - 15.57 d. 11.55 - 16.95

27) Write out the results in plain English including an interpretation of effect size.

 Subject Mathematics Due By (Pacific Time) 07/25/2014 09:00 pm
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