At western university the historical mean of scholarship examination scores for freshman applications is 900. a historical population standard deviation s=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 hypothesesb- what is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean of xbar=935 ? c- use the confidence interval to conduct a hypthesis test. using a=.05, what is your conclusion ? d-what is the p-value ?