Please, type up the explanations, I really need them typed up, not hand written!

1.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)

2.It is known that the mean cholesterol level for all Americans is 190.Construct the relevant hypothesis test to show that only children have an average higher cholesterol level than the national average. We test 100 only children and find out the mean is 198. You can use your own confidence level. (All Americans

Standard Deviation is 15) (10 points)