Samples were selected from three populations. The data obtained are shown below. Please note the sample sizes are not equal.
Sample 1
Sample 2
Sample 3
10
16
15
13
14
18
12
15
13
Sample Mean (
)12
15
16.5
Sample Variance (
)2.0
1.0
4.5
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a.Compute the overall mean 
.b.Set up an ANOVA table for this problem.c.At the .05 level, test to determine whether there is a significant difference in the means of the three populations. Use both the critical and p-value approaches.
What will be an ideal response?
a. 14b.
| Source of Variation | SS | df | MS | F | p-value | F critical |
| Between Groups | 31.5 | 2 | 15.75 | 7.56 | 0.0229 | 5.14 |
| Within Groups | 12.5 | 6 | 2.083 | |||
| Total | 44 | 8 |
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