Need help setting up, understanding and solving this problem:
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?
This provides an example of hypothesis testing including confidence interval and p-value.