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Check My Work eBook 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 Hnot equal to 900 b. What is the 95% confidence interval estimate of the population mean examination score of a sample of 200 applications provided a sample mean 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 3 decimals)