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: ME 900 H: H > 900 O Ho: M 2 900 H.: H 900 Ha: us 900 (b) What is the 95% confidence interval estimate of the population mean examination score if a sample of 210 applications provided a sample mean x = 934? (Round your answers to the nearest integer.) 910 to 960 (c) Use the confidence interval to conduct a hypothesis test. Using a = 0.05, what is your conclusion? O Reject Ho. There is sufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Do not reject Ho. There is insufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Do not reject Ho. There is sufficient evidence to conclude that the mean examination score for the new freshman applications has changed. O Reject Ho. There is insufficient evidence to conclude that the mean examination score for the new freshman applications has changed. (d) What is the test statistic? (Round your answer to two decimal places.) 2.75 X What is the p-value? (Round your answer to four decimal places.) p-value = 0.0060 X