Chapter 9, Problem 61SE

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.

1. a. State the hypotheses.
2. b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean $\bar{x}=935$?
3. c. Use the confidence interval to conduct a hypothesis test. Using α = .05, what is your conclusion?
4. d. What is the p-value?