The table below contains three samples obtained from three different populations

Question

The table below contains three samples obtained from three different populations. Please conduct an ANOVA test for the equality of the three population means and state if the test rejects the null hypothesis of the equality of the three means at the 80% confidence level?

Sample 1

A. The test fails to reject the null hypothesis of the equality of the three population means.

B. The test rejects the null hypothesis of the equality of the three population means.

C. The test is inconclusive

Sample 1

Sample 2 Sample 3 7 11 6 5 8 5 7 11 4 6 7 5 6 12 5 6 11 6 8 8 8 9 7 6 7 6 14 9 7 4 8 8 8 8 9 13 9 6 10 8 11 14 8 9 14 9 12 8 6 11 8 12

Explanation / Answer

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
Factor 2 28.93 14.463 2.26 0.115
Error 49 313.31 6.394
Total 51 342.23

The above is the ANOVA table obtained using MINITab

Thus the answer is

(A) The test fails to reject the null hypothesis of the equality of the three population means.

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