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Twenty-four different depressed patients are randomly assigned to each of five therapy conditions (a total of 120 patients in all), which differ according to the

Twenty-four different depressed patients are randomly assigned to each of five

therapy conditions (a total of 120 patients in all), which differ according to the number of days per week the patient must attend a psychoanalytic therapy session. After 6 months of treatment, the patients are rated for positive mood. The means and standard deviations of the ratings for each condition are shown in the following table.

Condition

Mean

SD

One

50

40

Two

70

53

Three

82

55

Four

86

45

Five

85

47

Table below shows an ANOVA table for comparing the mean scores for five conditions.

Source

SS

df

MS

F

Between

22060.8

4

5515.2

2.3634

Within

268364

115

2333.6

Total

290424.8

119

(a) What is the critical q-value for the Tukey method with = .05?

(b) Using the Tukey method, can we conclude the difference between the means of Method 1 and Method 2 is significant?

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