Statistics: Hypothesis tests: Z-test – #89


Question: A large corporation has been sending many of its first-level managers to an off-site supervisory skills course. Four different management development centers offer this course, and the corporation wants to determine whether they differ in the quality of training provided. A sample of 20 employees who have attended these programs has been chosen and the employees ranked in terms of supervisory skills. The results follow.

COURSE SUPERVISORY SKILLS RANK
1 3 14 10 12 13
2 2 7 1 5 11
3 19 16 9 18 17
4 20 4 15 6 8

Note that the top-ranked supervisor attended course 2 and the lowest-ranked supervisor attended course 4. Use α = .05 and test to see whether there is a significant difference in the training provided by the four programs.

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