1. 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.

(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?

(c) What is the value of the estimator for the population mean in your sample?

(d) What is the lower bound of your 95% confidence interval for the population mean?

(e) What is the upper bound of your 95% confidence interval for the population mean?

(f) Does your confidence interval contain the population mean?