A random sample of 25 students selected from the student body of a large university had an average age of 22.1 years. We want to determine if the average age of all the students at the university is significantly different from 23. Age is normally distributed with a population standard deviation of 3 years.

a. State the researcher's null and alternative hypothesis.

b. At = 0.01, test your hypothesis. Please show all calculations.

c. What is your conclusion? Can we conclude that the average age of all students at the university is significantly different from 23?