The Admissions Officer for the Graduate Programs at the University

Essay

The admissions officer for the graduate programs at the University of Adelaide believes that the average score on an exam at his university is significantly higher than the national average of 1300. Assume that the population standard deviation is 125 and that a random sample of 25 scores had an average of 1375.
a. State the appropriate null and alternative hypotheses.
b. Calculate the value of the test statistic and set up the rejection region. What is your conclusion?
c. Calculate the p-value.
d. Does the p-value confirm the conclusion in part (b)?