Question

A human resources manager is investigating the effectiveness of a new employee orientation program. Three different instructors each train 8 new employees about the company and its policies, and then a test is given to all new personnel. The manager wants to know if differences in test score can be attributed to instructor at an alpha of .05. She observes the following results in SPSS:

	Mean	Standard Deviation
Instructor A	76.75	8.067
Instructor B	84.13	8.871
Instructor C	90.75	6.964
Total	83.88	9.625

	Sum of Squares	df	Mean Square	F	Sig.
Between Groups	784.750	2	392.375	6.122	.008
Within Groups	1345.875	21	64.089
Total	2130.625	23

The null hypothesis that all three group means are equal is rejected. She wants to do a Tukey HSD to determine how the means differ from one another, but her computer freezes. You offer to do it for her by hand.

1. The (closest) tabled value for the studentized range statistic (q) is ______ (to 2 decimals).

2. The appropriate value for the MSW (aka MSE) is ________ (to 3 decimals).

3. The appropriate value for n is ________ .

4. The HSD value is _______ (to 2 decimals).

Answer 1

1)

critical q with 0.05 level and k=3, N-k=28 df=

3.50

2)

from given table MSW =64.089

3)

. The appropriate value for n is =8

4)

Tukey's (HSD) =(q/√2)*(sp*√(1/ni+1/nj)         =

9.91