Discussion:
Tobacco and Alcohol Use in Animated Children's Movies:
Lists times (in seconds) that animated children's movies show tobacco use and alcohol use. The 50 times of tobacco use have a mean of 57.4 sec and a standard deviation of 104.0 sec. the 50 times of alcohol use have a mean of 32.46 sec and a standard deviation of 66.3 sec.
a. Assuming that we want to use the methods of this section to test the claim that the times of tobacco use and the times of alcohol use have different standards of deviations, identify F test statistic, critical value, and conclusion. Use a 0.05 significance level.
b. Consider the prerequisite of normally distributed populations. Instead of constructing histogram or normal quantile plots, simply examine the numbers of movies showing no tobacco or alcohol use. Are the times for tobacco use normally distributed? Are the times for alcohol use normally distributed?
c. What can we conclude from the results of parts (a) and (b)?
| Movie |
Company |
Length (min) |
Tobacco Use (sec) |
Alcohol Use (sec) |
| Snow White |
Disney |
83 |
0 |
0 |
| Pinnocchio |
Disney |
88 |
223 |
80 |
| Fantasia |
Disney |
120 |
0 |
0 |
| Dumbo |
Disney |
64 |
176 |
88 |
| Bambi |
Disney |
69 |
0 |
0 |
| Three Caballeros |
Disney |
71 |
548 |
8 |
| Fun and Fancy Free |
Disney |
76 |
0 |
4 |
| Cinderella |
Disney |
74 |
37 |
0 |
| Alice in Wonderland |
Disney |
75 |
158 |
0 |
| Peter Pan |
Disney |
76 |
51 |
33 |
| Lady and the Tramp |
Disney |
75 |
0 |
0 |
| Sleeping Beauty |
Disney |
75 |
0 |
113 |
| 101 Dalmations |
Disney |
79 |
299 |
51 |
| Sword and the Stone |
Disney |
80 |
37 |
20 |
| Jungle Book |
Disney |
78 |
0 |
0 |
| Aristocats |
Disney |
78 |
11 |
142 |
| Robin Hood |
Disney |
83 |
0 |
39 |
| Rescuers |
Disney |
77 |
0 |
0 |
| Winnie the Pooh |
Disney |
71 |
0 |
0 |
| Fox and the Hound |
Disney |
83 |
0 |
0 |
| Black Cauldron |
Disney |
80 |
0 |
34 |
| Great Mouse Detective |
Disney |
73 |
165 |
414 |
| Oliver and Company |
Disney |
72 |
74 |
0 |
| Little Mermaid |
Disney |
82 |
9 |
0 |
| Rescuers Down Under |
Disney |
74 |
0 |
76 |
| Beauty and the Beast |
Disney |
84 |
0 |
123 |
| Aladdin |
Disney |
90 |
2 |
3 |
| Lion King |
Disney |
89 |
0 |
0 |
| Pocahontas |
Disney |
81 |
6 |
7 |
| Toy Story |
Disney |
81 |
0 |
0 |
| Hunchback of Notre Dame |
Disney |
90 |
23 |
46 |
| James and the Giant Peach |
Disney |
79 |
206 |
38 |
| Hercules |
Disney |
92 |
9 |
13 |
| Secret of NIMH |
MGM |
82 |
0 |
0 |
| All Dogs Go to Heaven |
MGM |
89 |
205 |
73 |
| All Dogs Go to Heaven 2 |
MGM |
82 |
162 |
72 |
| Babes in Toyland |
MGM |
74 |
0 |
0 |
| Thumbelina |
Warner Bros |
86 |
6 |
5 |
| Troll in Central Park |
Warner Bros |
76 |
1 |
0 |
| Space Jam |
Warner Bros |
81 |
117 |
0 |
| Pippi Longstocking |
Warner Bros |
75 |
5 |
0 |
| Cats Don't Dance |
Warner Bros |
75 |
91 |
0 |
| An American Tail |
Universal |
77 |
155 |
74 |
| Land Before Time |
Universal |
70 |
0 |
0 |
| Fievel Goes West |
Universal |
75 |
24 |
28 |
| We're Back: Dinosaur Story |
Universal |
64 |
55 |
0 |
| Land Before Time 2 |
Universal |
73 |
0 |
0 |
| Balto |
Universal |
74 |
0 |
0 |
| Once Upon a Forest |
20th Century Fox |
71 |
0 |
0 |
| Anastasia |
20th Century Fox |
94 |
17 |
39 |