Random samples were selected from three populations. The data obtained are shown

Question

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 95% confidence using the critical value and p-value approaches, test to see if there is a significant difference among the means.

Explanation / Answer

The test statistic F = 8.708; p-value is less than 0.01; reject Ho and conclude at
least one mean is different from others. (critical F = 4.26)

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