Q. 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.
- State the hypotheses
- Illustrate 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 ?
- Use the confidence interval to conduct a hypothesis test. Using a=.05, Illustrate what is your conclusion?
- Illustrate what is the p-value?