# 1. Consider the hypothesis test Ho: u1=p2 against H1: u 17 M2. Suppose that sample sizes...

###### Question:

1. Consider the hypothesis test Ho: u1=p2 against H1: u 17 M2. Suppose that sample sizes are n1 = 13, n2 = 10 x1=4.7, x2 =6.8, s1= 2 and s2 =2.5. Assume that the data are randomly drawn from two independent Normal distributions (a) Confirm that it is reasonable to assume 01 2 = 022 by completing the steps i. through v. below. Use a = 0.05. HO: 01 2 = 02 20:01 2 * 022 i. Test Statistic ii. Rejection Criterion: ii. Decision (reject or do not reject the null hypothesis): iv. The probability you made an incorrect decision: v. Conclusion (state in the terms of this test): (b) Complete the steps i. through to test the hypothesis stated in number 1 using a = 0.05 and the fact that the populations variances can be assumed to be equal. HQ: u1=p2 H1: 217 p2 i. Test Statistic ii. Rejection Criterion: iii. Decision (reject or do not reject the null hypothesis): iv. The probability you made an incorrect decision: v. Conclusion (state in the terms of this test): — (c) Derive a two-sided 95% confidence interval. Interpret the confidence interval and explain how it confirms your results in part (b).

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