Suppose a sample of 49 aired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean of J 5 and a sample standard deviation of sd 7 a Calculate a 95 percent confidence interval for d 1 2 Can we be 95 percent confident that the difference between 1 and 2 is greater than 0 b Test the null hypothesis H0 d 0 versus the alternative hypothesis Ha d 0 by setting a equal to 10 05 01 and 001 How much evidence is there that d differs from 0 What does this say about how 1 and 2 compare c The p value for testing H0 d 3 versus Ha d 3 equals 0256 Use the p value to test these hypotheses with a equal to 101 051 011 and 001 How much evidence is there that d exceeds 3 What does this say about the size of the difference between 1 and

Question: Suppose a sample of 49 aired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean of

Suppose a sample of 49 µaired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean of J = 5 and a sample standard deviation of sd = 7.
a Calculate a 95 percent confidence interval for µd = µ1 - µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0?
b. Test the null hypothesis H0: µd = 0 versus the alternative hypothesis Ha: µd ≠ 0 by setting a equal to. 10. .05. .01. and .001. How much evidence is there that µd differs from 0? What does this say about how µ1 and µ2 compare?
c. The p-value for testing H0:µd < 3 versus Ha: µd > 3 equals .0256. Use the p-value to test these hypotheses with a equal to .101 .051 .011 and .001. How much evidence is there that µd exceeds 3? What does this say about the size of the difference between µ1 and µ.?

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