Refer to Data Set 9 from Appendix B and construct a 95% confidence interval estimate of the mean gross amount for the population of all movies. Assume that the population standard deviation is known to be 100 million dollars.

Data Set 9: Movies STATDISK: Minitab: Excel: TI-83/84 Plus: Text file names: Title 8 Mile Alone in the Dark Aviator Crash Daddy Day Care DaVinci Code Eternal Sunshine From Justin to Kelly Harry Potter Goblet of Fire Hostel House of the Dead Last Samurai Million Dollar Baby Pirates of the Carribbean (II) Rollerball S.W.A.T. Secret Window Signs Silent Hill Big Fish Bourne Identity Break-Up PG-13 Charlie's Angels: Full Throttle PG-13 Collateral Son of the Mask Spider-Man 2 Star Wars III Sum of All Fears The Pianist Data set name is Movies. Worksheet name is MOVIES.MTW. Workbook name is MOVIES.XLS. App name is MOVIES and the file names are the same as for text files. MVBUD, MVGRS, MVLEN, MVRAT. The Village Van Helsing Vanilla Sky Walk the Line War of the Worlds Wedding Crashers MPAA Rating R R PG-13 PG-13 PG-13 R R PG PG-13 R PG PG-13 R R R PG-13 PG-13 PG-13 PG-13 PG-13 PG-13 R PG PG-13 PG-13 PG-13 R PG-13 PG-13 R PG-13 PG-13 R Budget ($) in Millions 41.0 20.0 116.0 70.0 75.0 52.0 120.0 65.0 6.5 60.0 125.0 20.0 5.0 150.0 4.5 7.0 100.0 30.0 225.0 70.0 80.0 40.0 70.0 50.0 74.0 200.0 113.0 68.0 35.0 72.0 160.0 68.0 29.0 132.0 40.0 Gross ($) in Millions 117 5 36016 10 100 5542342 121 104 12 290 47 10 111 100 322 19 117 48 228 47 17 373 380 118 33 114 120 101 120 234 209 Length (min) 110 96 170 125 119 105 106 120 113 92 149 108 81 157 94 90 154 132 150 97 117 96 106 127 94 127 140 124 150 108 132 136 136 116 119 Viewer Rating 6.7 2.2 7.6 8.0 7.4 5.8 4.8 7.7 8.3 5.7 6.5 8.6 1.9 7.8 5.8 2.0 7.8 8.4 7.5 2.7 6.0 6.3 7.0 6.6 2.0 7.8 8.0 6.4 8.5 6.6 5.3 6.8 8.1 6.7 7.3