If you go to a major league baseball game, how long do you expect the game to be? From the 2430 games played in 2018, here is a random sample of 25 times (min):

This is one of those rare instances in which we can calculate a confidence interval and compare with the actual population mean. The mean duration of all 2430 games was μ = 184.94 min (a little more than 3 h), but pretend we don’t know that.

a. Compute the t-based confidence interval of Section 8.2.
b. Use a normal probability plot to see if part (a) is valid.
c. Use software to generate a bootstrap sample of means.

d. Use the standard deviation for part (c) to get a 95% bootstrap t confidence interval for μ.
e. Use part (c) to form the 95% confidence bootstrap percentile interval for μ.
f. Say which interval should be used and explain why. Does your interval include the true value, μ = 184.94 min?

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