At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation 0^ = 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. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean 935 (to the nearest whole number)? Use the confidence interval to conduct a hypothesis test. Using 0c = 0.05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed? What is the p -value (to 3 decimals)?

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