At Western University the historical mean of scholarship examination scores for freshman applications is . A historical population standard deviation 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. What is the 95% confidence interval estimate of the population mean examination
score if a sample of 200 applications provided a sample mean x¯¯¯
= 935?
c. Use the confidence interval to conduct a hypothesis test. Using α
= .05, what is your
conclusion?
d. What is the p-value?