In: Statistics and Probability
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 than100, 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.