At Western University the historical mean of scholarship examination scores for fresh-man 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.,b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean x = 935?,c. Use the confidence interval to conduct a hypothesis test. Using ? = .05, what is your conclusion?,d. What is the p-value?

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