The Ahmadi 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 from a day's work has been recorded. You are given the results (in units/day) below.
Program A
Program B
Program C
Program D
150
150
185
175
130
120
220
150
120
135
190
120
180
160
180
130
145
110
175
175
?
a.State the null and alternative hypotheses.b.Construct an ANOVA table.c.As the statistical consultant to Ahmadi, what would you advise them? Use a .05 level of significance. Use both the critical and p-value approaches.d.Use Fisher's LSD procedure and determine which population mean (if any) is different from the others. Let ? = .05.
What will be an ideal response?
?
a. | ||||
H0: ?1 = ?2 = ?3 = ?4 Ha: At least one mean is different | ||||
b. | ||||
Source | Sum of Squares | df | Mean Square | F |
Between | 8750 | 3 | 2916.67 | 6.14 |
Error | 7600 | 16 | 475 | |
Total | 16,350 | 19 | ||
c. Critical F = 3.24; p-value is less than .01; reject H0 and conclude there is a difference in the mean productivity between the four programs. | ||||
d. LSD = 29.22; the mean of population C is different from the others. |
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