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 = 4.2 and a sample standard deviation of $7 = 7.6. (a) Calculate a 95 percent confidence Interval for My = 4 - 2. (Round your answers to 2 decimal places.) Confidence interval = (b) Test the null hypothesis Ho: My=0 versus the alternative hypothesis Ha q# 0 by setting a equal to 10, .05, .01, and .001. How much evidence is there that o differs from 0? 1 = Reject HO at a equal to evidence that u1 differs from 12 (c) The p-value for testing He: My 3 equals 0.1373. Use the p-value to test these hypotheses with a equal to .10, .05, .01, and .001. How much evidence is there that My exceeds 3? What does this say about the size of the difference between th and uz? (Round your p-value answer to 4 decimal places.) P = Reject HO at a equal to evidence that u1 and u2 differ by more than 3