Suppose a sample of 11 paired differences that has been randomly selected from a normally distributed population of paired differences yields a sample mean of d 103 5 and a sample standard deviation of sd 5 a Calculate 95 percent and 99 percent confidence intervals for d 1 2 Can we be 95 percent confident that the difference between 1 and 2 exceeds 100 Can we be 99 percent confident b Test the null hypothesis H0 d 100 (K) versus Ha d 100 by setting a equal to 05 and 01 How much evidence is there that d 1 2 exceeds 100 c Test the null hypothesis H0 d 110 versus Ha d 110 by setting a equal to 05 and 01 How much evidence is there that d 1 2 is less than 110

Question: Suppose a sample of 11 paired differences that has been randomly selected from a normally distributed population of paired differences yields a sample mean of

Suppose a sample of 11 paired differences that has been randomly selected from a normally distributed population of paired differences yields a sample mean of d = 103.5 and a sample standard deviation of sd = 5.
a. Calculate 95 percent and 99 percent confidence intervals for µd = µ1 - µ2. Can we be 95 percent confident that the difference between µ1 and µ2 exceeds 100? Can we be 99 percent confident?
b. Test the null hypothesis H0: µd < 100 (K) versus Ha: µd > 100 by setting a equal to .05 and .01. How much evidence is there that µd = µ1 - µ2 exceeds 100?
c. Test the null hypothesis H0: µd > 110 versus Ha: µd < 110 by setting a equal to .05 and .01. How much evidence is there that µd = µ1 - µ2 is less than 110?

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