A random sample of 50 of the 200 electrical engineering students' grades in applied probability showed a mean of 75% and a standard deviation of 10%.
a. What are the 95% confidence limits for the estimate of the mean of the 200 grades?
b. What are the 99% confidence limits for the estimate of the mean of the 200 grades?
c. With what confidence can we say that the mean of all the 200 grades is 75+1 ?