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From each of the two normally distributed populations, independent random samples were selected. n1 =25 from population 1 and n2 = 11 from population 2.

From each of the two normally distributed populations, independent random samples were selected. n1 =25 from population 1 and n2 = 11 from population 2. The below table gives the means and variances for the two samples:

Sample Size Mean Variance

Sample 1 25 35.4 8.15

Sample 2 11 30.2 3.47

To testH0: Variance 1 = Variance 2 versus H1: Variance 1 > Variance 2, at 5% level of significance, what is the decision?

Select one:

a. Reject the null hypothesis and conclude that the variance of population 1 is larger than the variance of population 2.

b. Fail to reject the null hypothesis and conclude the variances are different.

c. Reject the null hypothesis and conclude that the variances are the same.

d. Fail to reject the null hypothesis and conclude that the variance of population 1 is not larger than the variance of population 2.

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