Because of extra-inning games, the median might be a more meaningful statistic for the length-of-game data in the previous exercise. The median length of all 2430 MLB games in 2018 was min.

a. Use software and the data in the previous exercise to obtain a bootstrap sample of medians.
b. Obtain a 95% confidence bootstrap t interval for the population median.
c. Investigate the distribution of the bootstrap medians and discuss the validity of part (b).
d. Determine a 95% confidence bootstrap percentile interval for the median. Compare your answer with the population median.

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μ = 182