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

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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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Business Statistics In Practice

ISBN: 9780073401836

6th Edition

Authors: Bruce Bowerman, Richard O'Connell

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