The Admissions officer for the graduate programs at the University of Pennsylvania believes that the average score on the LSAT paper 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. State the appropriate null and alternative hypotheses.
Calculate the value of the test statistic
Calculate the p-value.
Use the p-value to test the hypotheses and conduct the test at the 0.025 level.