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Three groups of students, 5 in each group, were receiving therapy for severe tes

ID: 3248499 • Letter: T

Question

Three groups of students, 5 in each group, were receiving therapy for severe test anxiety. Group 1 received 5 hours of therapy, group 2 received 10 hours and group 3 received 15 hours of therapy. At the end of therapy each subject completed an evaluation of test anxiety. Did the amount of therapy have an effect on the level of test anxiety?

The three groups of students received the following scores on the Test Anxiety Index (TAI) at the end of treatment.

TAI Scores for Three Groups of Students

Group 1 - 5 hours

Group 2 - 10 hours

Group 3 - 15 hours

48

55

51

50

52

52

53

53

50

52

55

53

50

53

50

What is your computed answer? (attach printout, on it circle the appropriate information, and please write the statistical response below)

What would be the null hypothesis in this study?

Is there a significant difference between any of the groups? If so, which groups?

TAI Scores for Three Groups of Students

Group 1 - 5 hours

Group 2 - 10 hours

Group 3 - 15 hours

48

55

51

50

52

52

53

53

50

52

55

53

50

53

50

Explanation / Answer

Ho: All means are equal

Ha: At least two of the means are signficantly different

Since the p- value < 0.05, we reject Ho

There is evidence that at least two of the three means are significantly different

From the post-hoc analysis we find that Group 2 is significantky different from groups 1 and 3.

One factor ANOVA Mean n Std. Dev 50.6 5 1.95 Group 1 - 5 hours 53.6 5 1.34 Group 2 - 10 hours 51.2 5 1.30 Group 3 - 15 hours 51.8 15 1.97 Total ANOVA table Source SS    df MS F    p-value Treatment 25.20 2 12.600 5.18 .0239 Error 29.20 12 2.433 Total 54.40 14
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