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Hypothesis testing

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At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed.

a. State the hypotheses.

b. Using the scores for a sample of applicants in the attached file named Applicant, compute a 95% confidence interval estimate of the population mean examination score for the new freshman class.

c. Use the confidence interval to conduct a hypothesis test. Use a = .05. What is your conclusion?

d. What is the p-value?

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This provides an example of hypothesis testing including confidence interval and p-value.

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