Please show all work:

A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. We want to determine if the average age of all the students at the university is significantly more than 24. Assume the distribution of the population of ages is normal.

The test statistic is:

a)1.96

b) 2.00

c) 1.645

d) 0.05

The p-value is between:

a) .005 to .01

b) .01 to .025

c) .025 to .05

d) .05 to .10

At 95% confidence level, it can be concluded that the mean age is:

a) Not significantly different from 24

b) Significantly different from 24

c) Significantly less than 24

d) Significantly more than 24