Suppose we select two independent random samples from populations having means 1 and 2 If 1, 151, 2 162, 1, 6, 2 8, n1 625 and n2 625 a Calculate a 95 percent confidence interval for 1 2 Can we be 95 percent confident that 2 is greater than 1 By how much Explain b Test the null hypothesis H0 1 2 10 versus Ha 1 2 10 by setting 05 What do you conclude c Test the null hypothesis H0 1 2 10 versus Ha 1 2 10 by setting a equal to 01 What do you conclude d Find the p value for testing H0 1 2 10 versus Ha 1 2 10 Use the p value to test these hypotheses by setting a equal to 10, 05, 01, and 001

Question: Suppose we select two independent random samples from populations having means 1 and 2. If 1, = 151, 2 = 162, 1, = 6, 2

Suppose we select two independent random samples from populations having means µ1 and µ2. If 1, = 151, 2 = 162, σ1, = 6, σ2 = 8, n1 = 625 and n2 = 625:
a. Calculate a 95 percent confidence interval for µ1 - µ2. Can we be 95 percent confident that µ2 is greater than µ1? By how much? Explain.
b. Test the null hypothesis H0: µ1 - µ2 = - 10 versus Ha: µ1 - µ2 < - 10 by setting α = .05. What do you conclude?
c. Test the null hypothesis H0: µ1 - µ2 = - 10 versus Ha: µ1 - µ2 ≠ - 10 by setting a equal to .01. What do you conclude?
d. Find the p-value for testing H0: µ1 - µ2 = -10 versus Ha: µ1 - µ2 ≠ -10. Use the p-value to test these hypotheses by setting a equal to .10, .05, .01, and .001.

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