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Null hypothesis - Testing

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A stock analyst wants to determine whether there is a difference in the mean rate of return for
three types of stock: utility, retail, and banking stocks. The following sample information is

Rates of Return
Utility Retail Banking
14.3 11.5 15.5
18.1 12 12.7
17.8 11.1 18.2
17.3 11.9 14.7
19.5 11.6 18.1

a. Using the .05 level of significance, is there a difference in the mean rate of return among the
three types of stock?

b. Suppose the null hypothesis is rejected. Can the analyst conclude there is a difference
between the mean rates of return for the utility and the retail stocks? Explain.

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