At Western University the historical mean of scholarship examination scores for freshman applications is 900. 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 null and alternative hypotheses. (4%)
b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean ? (4%)
c. Use the confidence interval to conduct a hypothesis test. Using , do you reject or accept the null hypothesis? What is your conclusion? describe. (4%)
d. What is the p-value? (4%)