Movie LengthsLet’s repeat Example 2 after changing one of the values so that it becomes an outlier. Change the highest value of 170 min in Example 2 to a length of 1700 min. (The actual longest movie is Cure for Insomnia with a length of 5220 min, or 87 hr.) The accompanying STATDISK display shows the normal quantile plot of these movie lengths: 110, 96,1700,125, 119. Note how that one outlier affects the graph. This normal quantile plot does not result in points with an approximately straight-line pattern. This STATDISK display suggests that the values of 110, 96, 1700, 125, 119 are from a population with a distribution that is not a normal distribution.
Example 2
Movie LengthsData Set 9 in Appendix B includes lengths (in minutes) of randomly selected movies. Let’s consider only the first 5 movie lengths: 110, 96, 170, 125, 119. With only 5 values, a histogram will not be very helpful in revealing the distribution of the data. Instead, construct a normal quantile plot for these 5 values and determine whether they appear to come from a population that is normally distributed.
Data Set 9: Movies
STATDISK:
Data set name is Movies.
Minitab:
Worksheet name is MOVIES.MTW.
Excel:
Workbook name is MOVIES.XLS.
TI-83/84 Plus:
App name is MOVIES and the file names are the same as for text files.
Text file names:
MVBUD, MVGRS, MVLEN, MVRAT.
MPAA
Budget ($)
Gross ($)
Length
Viewer
Title
Rating
in Millions
(min)
8 Mile
R
41.0
117
110
6.7
Alone in the Dark
20.0
5
96
2.2
Aviator
PG-13
116.0
103
170
7.6
Big Fish
70.0
66
125
8.0
Bourne Identity
75.0
121
119
7.4
Break-Up
52.0
116
105
5.8
Charlie’s Angels: Full Throttle
120.0
101
106
4.8
Collateral
65.0
100
120
7.7
Crash
6.5
55
113
8.3
Daddy Day Care
PG
60.0
104
92
5.7
DaVinci Code
125.0
213
149
Eternal Sunshine
34
108
8.6
From Justin to Kelly
5.0
12
81
1.9
Harry Potter Goblet of Fire
150.0
290
157
7.8
Hostel
4.5
47
94
House of the Dead
7.0
10
90
2.0
Last Samurai
100.0
111
154
Million Dollar Baby
30.0
132
8.4
Pirates of the Carribbean (II)
225.0
322
150
7.5
Rollerball
19
97
2.7
S.W.A.T.
80.0
6.0
Secret Window
40.0
48
6.3
Signs
228
Silent Hill
50.0
127
6.6
Son of the Mask
74.0
17
Spider-Man 2
200.0
373
Star Wars III
113.0
380
140
Sum of All Fears
68.0
118
124
6.4
The Pianist
35.0
33
8.5
The Village
72.0
114
Van Helsing
160.0
5.3
Vanilla Sky
136
6.8
Walk the Line
29.0
8.1
War of the Worlds
132.0
234
Wedding Crashers
209
7.3
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