Listed below are 12 lengths (in minutes) of randomly chosen movies from Data Set 9 in Appendix B.
110 96 125 94 132 120 136 154 149 94 119 132
a. Construct a 99% confidence interval estimate of mean length of all movies.
b. Supposing that it takes 30 minutes to empty theater after a movie, clean it, allow time for the next audience to enter, and show previews, determine the minimum time that a theater manager should plan between start times of movies, supposing that this time will be sufficient for typical movies?