(d) Use Fisher's LSD procedure and determine which population mean (if any) is different from the others. Let a = .05.
- Allied Corporation wants to increase the productivity of its line workers. Four different programs have been suggested to help increase productivity. Twenty employees, making up a sample, have been randomly assigned to one of the four programs and their output for a day's work has been recorded. You are given the results below
(a) State the null and alternative hypotheses.
Ho=there is no significant difference among the average productivity for four programs.
Ha=there is a significant difference among the average productivity for four programs.
(b) Construct an ANOVA table.
|
Source of Variation |
SS |
df |
MS |
F |
P-value |
F crit |
|
Between Groups |
8750 |
3 |
2916.6667 |
6.1404 |
0.0056 |
3.2389 |
|
Within Groups |
7600 |
16 |
475 |
|
|
|
|
Total |
16350 |
19 |
|
|
|
|
(c) As the statistical consultant to Allied, what would you advise them? Use
a .05 level of significance.
F value is 3.2389 and the p value is 0.0056
P value=0.0056<0.05
Ho is rejected
=> there is a significant difference among the average productivity for four programs.
(d) Use Fisher's LSD procedure and determine which population mean (if any) is
different from the others. Let = .05.
Please help to answer question (d)
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