The Admissions officer for the graduate programs at the University of Pennsylvania believes that the average score on the LSAT exam at his university is significantly higher than the national average of 1,300. An accepted standard deviation for LSAT scores is 125. A random sample of 25 scores had an average of 1,375. Assume a significance level of 0.05.
State the appropriate null and alternative hypotheses.
Calculate the p-value to test the hypotheses.
What is your conclusion (use two parts: first, reject/do not reject; second, the explanation)?
Calculate the probability of Type II error when the actual population mean is 1350
Calculate the power of the test.