Question

A department store supervisor is concerned about customer service. To check if this is an issue, the supervisor randomly selected a sample of clerks from stores at three different locations (A, B, C). Then the supervisor records the number of returns associated with each clerk for a month. What can the supervisor conclude with α = 0.01?

A	B	C
8 10 7 9	11 12 14 10	8 7 7 10

b) Obtain/compute the appropriate values to make a decision about H₀.
critical value = _______________ ; test statistic = _______________
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
η² = _______________ ;  ---Select--- na trivial effect small effect medium effect large effect
  

e) Regardless of the H₀ decision in b), conduct Tukey's post hoc test for the following comparisons:
2 vs. 3: difference = _______________ ; significant:  ---Select--- Yes No
1 vs. 3: difference = _______________ ; significant:  ---Select--- Yes No

f) Regardless of the H₀ decision in b), conduct Scheffe's post hoc test for the following comparisons:
1 vs. 3: test statistic = _______________ ; significant:  ---Select--- Yes No
2 vs. 3: test statistic = _______________ ; significant:  ---Select--- Yes No

Answer 1

b) Obtain/compute the appropriate values to make a decision about H₀.
critical value = 8.022 ; test statistic = 7.557
Decision: Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
η² = 0.627 ; medium effect
  

e) Regardless of the H₀ decision in b), conduct Tukey's post hoc test for the following comparisons:
2 vs. 3: difference = 3.75 ; significant: No
1 vs. 3: difference = 0.5 ; significant: No

f) Regardless of the H₀ decision in b), conduct Scheffe's post hoc test for the following comparisons:
1 vs. 3: test statistic = _______________ ; significant: Yes No
2 vs. 3: test statistic = _______________ ; significant:Yes No