1. Given the following GPA for 4 students: 2, 3, 3, 4. Age of students are: 10, 11, 12, 15. There are 10,000 total students. Average GPA: Unknown, Standard Deviation of GPA: 0.02 and it's Normal.

a)Find the mean and standard deviation for GPA. (10 points)

b)Calculate a 95% confidence interval for the populations mean GPA. (5 points)

c)Use Correlation formula to find r between GPA and Age. (10 points)

d)Find Regression Line Equation. (5 points)

e)If a student's age is 13, what is the corresponding GPA? (5 points)