Question: A random sample of 100 observations from a population with standard deviation 60 yielded a sample mean of 110. a. Test the null hypothesis that

A random sample of 100 observations from a population with standard deviation 60 yielded a sample mean of 110.

a. Test the null hypothesis that μ = 100 against the alternative hypothesis that μ > 100 using α = .05. Interpret the results of the test.

b. Test the null hypothesis that μ = 100 against the alternative hypothesis that μ ≠ 100 using α = .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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