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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![At Western University, the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation \(\sigma = 180\) 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.**
- \(H_0: \mu =\) [Select your answer]
- \(H_a: \mu =\) [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 \(\bar{x} = 935\) (to the nearest whole number)?**
[Blank] , [Blank]
**c. Use the confidence interval to conduct a hypothesis test. Using \(\alpha = 0.05\), 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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Transcribed Image Text:At Western University, the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation \(\sigma = 180\) 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.**
- \(H_0: \mu =\) [Select your answer]
- \(H_a: \mu =\) [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 \(\bar{x} = 935\) (to the nearest whole number)?**
[Blank] , [Blank]
**c. Use the confidence interval to conduct a hypothesis test. Using \(\alpha = 0.05\), 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.)**
[Blank]
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