An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs. A B C D x̄ 62.46 51.00 63.47 60.57 s 4.13 4.03 4.49 4.60 n 5 5 5 5
An experiment was conducted to compare the effectiveness of four training programs, namely, A, B, C, and D in training assemblers of a piece of electronic equipment. Twenty employees were randomly selected and assigned to each program, that is, five employees per program. After completion of the training courses, each person was required to assemble four pieces of equipment, and the length of time (in secs) to complete the assembly was recorded. The summary of the data gathered is recorded in the table. At α=0.10, test for the hypothesis that the assembly times for people trained are the same for the four programs.
| A | B | C | D | |
| x̄ | 62.46 | 51.00 | 63.47 | 60.57 |
| s | 4.13 | 4.03 | 4.49 | 4.60 |
| n | 5 | 5 | 5 | 5 |
Suppose it makes sense to conduct a post-hoc analysis. We will use Tukey's test to make pairwise comparisons between means.
The decision rule for Tukey's test would be as follows: "Reject H0 if |qc|>q0.10,K,L=M . Otherwise, fail to reject H0."
1. What is the value for the number of treatments, K?
2. What is the value for df for error, L?
3. What is the critical value, M?
Use the Table of Critical Values for the Tukey Test
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