At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation = 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. Ho: equal to 900 Ha: not equal to 900 b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean of = 935 (to the nearest whole number)? c. Use the confidence interval to conduct a hypothesis test. Using a = 0.05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed? Yes d. What is the p-value (to 4 decimals)? (Use Table 1 from Appendix B.) 0.0059

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