The following data gives the high school GPA of a random sample of 16 freshmen at a university.

2.612.752.853.013.113.153.263.313.473.513.553.703.903.703.904.00

Is there sufficient evidence to conclude that the mean high school GPA for freshmen in that university is lower than 3.60?Assume that the population distribution of GPA for freshmen in that university is approximately normal.Test relevant hypotheses using=0.05. ( You need to show your work to receive credits)

(1)Are the assumptions for performing a hypothesis test satisfied? Explain.

(2) State the null and alternate hypotheses.

H0:

H1:

(3)Compute the value of theteststatistic.

(4) Find the p-value.

(5) State your conclusion in the context of the problem.