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In: Statistics and Probability

A random sample of 100 observations from a population with standard deviation 70 yielded a sample...

A random sample of 100 observations from a population with standard deviation 70 yielded a sample mean of 113. Complete parts a through c below.

a. Test the null hypothesis that muequals100 against the alternative hypothesis that mugreater than​100, using alphaequals0.05. Interpret the results of the test. What is the value of the test​ statistic?

b. test the null hypothesis that mu = 100 against the alternative hypothesis that mu does not equal 100, using alpha=.05. interpret the results of the test.

c. compare the results of the two tests you conducted. explain why the results differ.

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