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 confidence interval estimate of the population mean examination score if a sample of applications provided a sample mean (to the nearest whole number)? ( , ) c. Use the confidence interval to conduct a hypothesis test. Using , can the assistant dean conclude that the mean examination score for the new freshman applications has changed? d. What is the -value (to 3 decimals)?