Question

At Western University, the historical mean of scholarship examination scores for freshman applications is 900. A...

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.

State the hypotheses.

What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean x bar = 935?

Use the confidence interval to conduct a hypothesis test. Using ɑ = .05, what is your conclusion?

What is the p-value?

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