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 Pairwise Comparison Test 1 Given the hypotheses: H0:μ1=μ4 ; Ha:μ1≠μ4
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 |
Pairwise Comparison Test 1
Given the hypotheses: H0:μ1=μ4 ; Ha:μ1≠μ4
Compute for the Tukey's q-statistic. Round off to the nearest hundredths: _________________
Given the hypotheses: H0:μ1=μ4; Ha:μ1≠μ4
What is the appropriate conclusion based on the computed q-statistic?
Pairwise Comparison Test One
Given the hypotheses: H0:μ2=μ4 ; Ha:μ2≠μ4
Compute for the Tukey's q-statistic. _________ (Round off to the nearest hundredths)
What is the appropriate conclusion based on the computed q-statistic?
Pairwise Comparison Test Two
Given the hypotheses: H0:μ3=μ4 ; Ha:μ3≠μ4
Compute for the Tukey's q-statistic. _________ (Round off to the nearest hundredths)
What is the appropriate conclusion based on the computed q-statistic?
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