At Western University the historical mean of scholarship examination scores for freshman applications is . A historical population standard deviation 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. : - Select your answer -greater than or equal to 900greater than 900less than or equal to 900less than 900equal to 900not equal to 900Item 1 : - Select your answer -greater than or equal to 900greater than 900less than or equal to 900less than 900equal to 900not equal to 900Item 2

b. What is the confidence interval estimate of the population mean examination score if a sample of applications provided a sample mean of (to the nearest whole number)? ( , )

c. Use the confidence interval to conduct a hypothesis test. Using , can the assistant dean conclude that the mean examination score for the new freshman applications has changed? - Select your answer -YesNoItem 5

d. What is the -value (to decimals)? (Use Table 1 from Appendix B.)