A random sample of 35 Hollywood movies made in the last 10 years had a mean length of 125.2 minutes, with a standard deviation of 20.4 minutes.

a. Construct a 95% confidence interval for the true mean length of all Hollywood movies made in the last 10 years.

b. As of January 2017 there have been five movies released in the Bourne film series, and their mean length is 119.8 minutes. Someone claims that the mean length of Bourne movies is actually greater than the mean length of all Hollywood movies. Does the confidence interval contradict this claim? Explain.