Refer to the Interpreting Confidence Intervals applet.

a. Suppose that you have a random sample of size n = 50 from a population with unknown mean μ and known standard deviation σ = 35. Calculate the half width of a 95% confidence interval for μ. What would the width of this interval be?

b. Use the button to create a single confidence interval for μ. What is the width of this interval? Compare your results to the calculation you did in part a.