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

applying one way ANOVA on above:

as p value is greater then 0.1 level;  

option A is correct

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

SUMMARY Groups Count Sum Average Variance Sample 1 18 134 7.444444 1.555556 Sample 2 18 166 9.222222 4.653595 Sample 3 16 130 8.125 13.85 ANOVA Source of Variation SS df MS F P-value Between Groups 28.92521 2 14.4626 2.2619 0.1149 Within Groups 313.3056 49 6.3940 Total 342.2308 51

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