Hello I need help with my statistics question

Please show the work thank you.

Data from a sample of randomly selected students is shown below. The variables collected are:

Exercise - the number of hours a student exercise per week

Debt - the amount of student loan debt (in thousands of dollars) a student is expected to graduate with

Age - the age of a student

GPA - the GPA of a student

Descriptive Statistics

ExerciseDebtAgeGPA

N24392424

Lo 95% CI7.07698.865520.0693.2702

Up 95% CI8.549713.75720.9313.3822

If you were asked to calculate the endpoints of the confidence interval for the average age of all students using the confidence interval formulas (which I never make you use) what type of distribution would you use in the calculations?

a. A z-distribution

b. An t-distribution with 24 degrees of freedom.

c. A t-distribution with 23 degrees of freedom.