At Western University the historical mean of scholarship

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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.
H0:  Select answer from below: Ha:  b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean = 935 c. Use the confidence interval to conduct a hypothesis test. Using = .05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed?
 d. What is the p-value (to 3 decimals)?

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