The Admissions officer for the graduate programs at Michigan State University (MSU) believes that the average score on the GRE exam at his university is significantly higher than the national average of 1300. Assume that the population standard deviation is 125 and a random sample of 25 scores had an average of 1375.
a) State the appropriate null and alternative hypotheses.
b) Conduct the test with 5% significant level, and explain your conclusion.
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