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F test for comparing means

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1. Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance.

Given the sample data below, test the claim that the populations have the same mean. Use a significance level of 0.05. (See formated table attached).

Brand A Brand B Brand C
n = 10 n = 10 n = 10
x-bar = 32.4 x-bar = 32.0 x-bar = 27.2
s2 = 4.12 s2 = 3.06 s2 = 4.88

Find the test statistic F. Use three decimal places.

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The solution gives the details of comparison of means of 3 sets of observations given the size, sample mean and sample standard deviation. Step by step procedure is given with interpretations of the results obtained.

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