Random samples were selected from three populations. The data obtained are shown below. Please note that the sample sizes are not equal.
Treatment 1
Treatment 2
Treatment 3
37
43
28
33
39
32
36
35
33
38
38
  40
 ?
a.Compute the overall mean .b.At ? = .01 using the critical value and p-value approaches, test to see if there is a significant difference among the treatment means.

What will be an ideal response?


a. 36
b.

Source of VariationSSdfMSFp-valueF critical
Between Groups1202608.710.00798.02
Within Groups6296.89   
Total18211    
?The test statistic F = 8.71 > 8.02; p-value is less than .01; reject H0 and conclude at least one mean is different from the others.

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