Problem

Research on eating disorders. Refer to the study on eating disorders, Exercise Bulimia stu...

Research on eating disorders. Refer to the study on eating disorders, Exercise Bulimia study. The “fear of negative evaluation” (FNE) scores for 11 female students known

Bulimic Students

21 13 10 20 25 19 16 21 24 13 14

Normal Students

13 6 16 13 8 19 23 18 11 19 7 10 15 20

to suffer from the eating disorder bulimia and 14 female students with normal eating habits, first presented in Exercise Research on eating disorders. Data from a psychology experiment were reported and analyzed in The American Statistician (May 2001). Two samples of female students participated in the experiment. One sample consisted of 11 students known to suffer from the eating disorder bulimia; the other sample consisted of 14 students with normal eating habits. Each student completed a questionnaire from which a “fear of negative evaluation” (FNE) score was produced. (The higher the score, the greater was the fear of negative evaluation.) The data are saved in the BULIMIA file and displayed in the following table:

a. Construct a dot plot or stem-and-leaf display for the FNE scores of all 25 female students.


b. Highlight the bulimic students on the graph you made in part a. Does it appear that bulimics tend to have a greater fear of negative evaluation? Explain.


c. Why is it important to attach a measure of reliability to the inference made in part b ? are reproduced in the next table and saved in the BULIMIA file. (Recall that the higher the score, the greater is the fear of a negative evaluation.)

 

a. Locate a 95% confidence interval for the difference between the population means of the FNE scores for bulimic and normal female students on the MINITAB printout shown at the bottom. Interpret the result.


b. What assumptions are required for the interval of part a to be statistically valid? Are these assumptions reasonably satisfied? Explain.

The “fear of negative evaluation” (FNE) scores for 11 female students knownto suffer from the eating disorder bulimia and 14 female students with normal eating habits, are reproduced in the table at the bottom of the page. (Recall that the higher the score, the greater is the fear of a negative evaluation.) These data are saved in the BULIMIA file. Suppose you want to determine whether the distribution of the FNE scores for bulimic female students is shifted above the corresponding distribution for female students with normal eating habits.

a. Specify H0 and Ha for the test.


b. Rank all 25 FNE scores in the data set from smallest to largest.


c. Sum the ranks of the 11 FNE scores for bulimic students.


d. Sum the ranks of the 14 FNE scores for students with normal eating habits.


e. Give the rejection region for a nonparametric test of the data if α = .10.


f. Conduct the test and give the conclusion in the words of the problem.

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