Question: Independent random samples were selected from each of two normally distributed populations, n1, = 12 from population 1 and n2 = 27 from population 2.

Independent random samples were selected from each of two normally distributed populations, n1, = 12 from population 1 and n2 = 27 from population 2. The means and variances for the two samples are shown in the table.

a. Test the null hypothesis H0: Ïƒ21 = Ïƒ22 against the alternative hypothesis Ha: Ïƒ21 > Ïƒ22. Use Î± = .10.
b. Find and interpret the approximate p-value of the test.

Sample 1 Sample 2 227 31.7 3.87 37.4 8.75

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