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At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation o = 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. a. State the hypotheses. Ho: - Select your answer - Ha: -Select your answer - + + b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean of = 935 (to the nearest whole number)? ( c. Use the confidence interval to conduct a hypothesis test. Using a = 0.05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed? Select your answer - d. What is the p-value (to 4 decimals)? (Use Table 1 from Appendix B.)

At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation o = 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. a. State the hypotheses. Ho: - Select your answer - Ha: -Select your answer - + + b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean of = 935 (to the nearest whole number)? ( c. Use the confidence interval to conduct a hypothesis test. Using a = 0.05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed? Select your answer - d. What is the p-value (to 4 decimals)? (Use Table 1 from Appendix B.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation o= 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. a. State the hypotheses. Ho: μ Ha: - Select your answer - - Select your answer - + + 935 b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean of x = (to the nearest whole number)? c. Use the confidence interval to conduct a hypothesis test. Using a = 0.05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed? - Select your answer - ♦ d. What is the p-value (to 4 decimals)? (Use Table 1 from Appendix B.)
Transcribed Image Text:At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation o= 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. a. State the hypotheses. Ho: μ Ha: - Select your answer - - Select your answer - + + 935 b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean of x = (to the nearest whole number)? c. Use the confidence interval to conduct a hypothesis test. Using a = 0.05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed? - Select your answer - ♦ d. What is the p-value (to 4 decimals)? (Use Table 1 from Appendix B.)
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