Question: At Western University the historical mean of scholarship examination scores for freshman

applications is 900. A historical population standard deviation σ = 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.

1. State the hypotheses.
2. What is the 95% confidence interval estimate of the population mean examination
   score if a sample of 200 applications provided a sample mean x̅ 935?
3. Use the confidence interval to conduct a hypothesis test. Using α = .05, what is your
   conclusion?
   
4. What is the p-value?

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