Recall that in the previous problem set each student in the course received a different random sample of two observations drawn from the Standard Normal distribution.

x1 = 1.709

x2 = 1.3

(a) Assume you don't know the population mean, but you know that the population standard deviation is 1. Calculate the 95% confidence interval for the population mean using the sample mean of your individual sample. You will report the confidence interval in the Pre-lecture 6 quiz.

(b) Assume that all 189 students in the course calculated the 95% confidence intervals correctly based on the sample mean of their individual sample. How many of their confidence intervals do you expect will miss the true value of the population mean?