To find out the estimate of between and within treatments.
Samples were selected from 3 populations. The data obtained follow.
|
Sample 1
|
sample 2
|
sample 3
|
|
93
|
77
|
88
|
|
98
|
87
|
75
|
|
107
|
84
|
73
|
|
102
|
95
|
84
|
|
85
|
75
|
82
|
|
Xj
|
100
|
85
|
79
|
|
Sj2
|
35.33
|
35.6
|
43.5
|
a. calculate the between-treatments estimate of the standard deviation (to the second power).
b. calculate the within- treatment estimate of the standard deviation to the second power.
c. At the α = .05 level of significance, can we reject the null hypothesis that the three population means are equal? Explain.
d. Set up the anova table for this problem.