Two independent random samples were selected from normally distributed populations with means and variances 1m1, s21 2 and 1m2, s22 2, respectively The sample sizes, means, and variances are shown in the following table a Test H0 s1 2 s2 2 against Ha s1 2 s2 2 Use a 05 b Would you be willing to use a t test to test the null hypothesis H0 1m1 m22 0 against the alternative hypothesis Ha 1m1 m22 0 Why Sample 1 n1 15 X1 123 s 15 65 Sample 2 n n2 20 X2 116 $ 60 05

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Question: Two independent random samples were selected from normally distributed populations with means and variances 1m1, s21 2 and 1m2, s22 2, respectively. The sample sizes,

Two independent random samples were selected from normally distributed populations with means and variances 1m1, s21 2 and 1m2, s22 2, respectively. The sample sizes, means, and variances are shown in the following table. Sample 1 n1 15 X1 = 123 s = 15.65 Sample 2

*a. Test H0: s1 2 = s2 2 against Ha: s1 2 s2 2 . Use a = .05.

b. Would you be willing to use a t-test to test the null hypothesis H0: 1m1 - m22 = 0 against the alternative hypothesis Ha: 1m1 - m22 0? Why?

Sample 1 n1 15 X1 = 123 s = 15.65 Sample 2 n = n2 = 20 X2 116 $ = 60.05

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