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QMB 3200-At Western University the historical mean of scholarship

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January 5th, 2018

At Western University the historical mean of scholarship examination score for freshman applications is 1000. Population standard deviation is known to be 200. 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 sample of 100 applications provided a mean of 1050.a) State the hypotheses to test whether the mean examination score for the new freshman applications has changed.b) What is the 95% confidence interval estimate of the population mean examination score?c) Use the 95% confidence interval to conduct a hypothesis test. What is your conclusion?d) Assuming ? = .05, conduct p-value based hypothesis test. What is the conclusion?e) Assuming ? = .05 conduct a critical-value based hypothesis tests. What is the conclusion?f) How do the results compare in all the three cases?

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