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At Western University the historical mean of scholarship examination scores for freshman applications is 910. A...

At Western University the historical mean of scholarship examination scores for freshman applications is 910. A historical population standard deviation  = 190 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  = 935 (to the nearest whole number)?
( ,  )

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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