4. Find P ( -1.2 < Z < -0.2) (10 points) 5. Believe it or not, there are some people who don't think that Duke will win the NCAA tournament this year. Let's say that you want to measure the average intelligence of Duke Doubters. Problem is you could only find 28 DDs on this whole campus. The mean of your sample was 90 and the standard deviation was 60. Calculate the 90% Confidence Interval for the IQ of DDs. (10 points) 6. Newsweek performed a poll in which 567 American parents were asked the question, "Would you prefer to have your child taught by a male or female for grades K-2?" Only 12% responded that they would prefer to have their child taught by a male in grades K-2. Construct a 99% confidence interval for the poll. (10 points) 3. 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. (10 points) c. Use Correlation formula to find r between GPA and Age. (10 points) d. Find Regression Line Equation. (10 points) e. If a student's age is 13, what is the corresponding GPA? (5 points)