Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean of d = 5.7 and a sample standard deviation of Sy = 7.8. (a) Calculate a 95 percent confidence interval for ly = 1 - /2. (Round your answers to 2 decimal places.) Answer is complete and correct. Confidence interval = 3.46 7.94 Yes (b) Test the null hypothesis Ho: Ad = 0 versus the alternative hypothesis Had # 0 by setting a equal to .10, .05, .01, and.001. How much evidence is there that uo differs from 0? Answer is complete and correct. 1 = 5.115 Reject HO at a equal to all test values extremely strong evidence that u1 differs from p2. (c) The p-value for testing He: Ha $ 3 versus Ha: up > 3 equals 0.0096. Use the p-value to test these hypotheses with a equal to 10, .05, 01, and .001. How much evidence is there that Ay exceeds 3? What does this say about the size of the difference between in and #2? (Round your p-value answer to 4 decimal places.) X Answer is complete but not entirely correct. 2.4230 x Reject HO at a equal to .10, .05, and .01 O. strong evidence that u1 and u2 differ by more than 3