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: 4 equal to 900 Ha: µ not equal to 900 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? Yes 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: 4 equal to 900 Ha: µ not equal to 900 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? Yes d. What is the p-value (to 4 decimals)? (Use Table 1 from Appendix B.)
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I just need help with parts B & D
![Hint(s) Check My Work
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 equal to 900
Ha: H not equal to 900
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?
Yes
d. What is the p-value (to 4 decimals)? (Use Table 1 from Appendix B.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbca57f61-fd5a-4072-9793-b4eb9190fd8e%2Fe72e012e-cded-4a81-918e-8554ee192682%2Feavhif_processed.png&w=3840&q=75)
Transcribed Image Text:Hint(s) Check My Work
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 equal to 900
Ha: H not equal to 900
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?
Yes
d. What is the p-value (to 4 decimals)? (Use Table 1 from Appendix B.)
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