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Independent random samples are selected from two normal populations. Information for the 2 samples are in the table below:

Population 1 Population 2

N             14           11

X             7.1          8.4

S              2.3          2.9

If you wanted to test the means are, in other words you are testing the following hypotheses:

H0 : µ2 1 -µ2 2 = 0

H1 : µ2 1 -µ2 2 ?= 0

a. Setting α = 0.05, do you have enough statistical evidence to reject the null hypothesis? Why or why not?

b. Now you want to test whether the population variances are equal. Setting α = 0.05, do you have enough statistical evidence to reject that the population variances are equal?

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