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At Western University the historical mean of scholarship examination scores for freshman applications is 920. A historical population standard...

At Western University the historical mean of scholarship examination scores for freshman applications is 920. A historical population standard deviation σ= 185 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 Hypothesisb. 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 α= .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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