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Chi-Square Homework 1) A recent debate about where in the United States skiers believe the skiing is best prompted the following survey
Chi-Square Homework
1) A recent debate about where in the United States skiers believe the skiing is best prompted the following survey. Is the best ski area independent of the level of the skier. Conduct a chi-square test.
|
U.S. Ski Area |
Beginner |
Intermediate |
Advanced |
|
Tahoe |
20 |
30 |
40 |
|
Utah |
10 |
30 |
60 |
|
Colorado |
10 |
40 |
50 |
2.Car manufacturers are interested in whether there is a relationship between the size of car an individual drives and the number of people in the driver’s family (that is, whether car size and family size are independent). To test this, suppose that 800 car owners were randomly surveyed with the following results. Conduct a chi square test.
|
Family Size |
Sub & Compact |
Mid-size |
Full-size |
Van & Truck |
|
1 |
20 |
35 |
40 |
35 |
|
2 |
20 |
50 |
70 |
80 |
|
3 - 4 |
20 |
50 |
100 |
90 |
|
5+ |
20 |
30 |
70 |
70 |
3. College students may be interested in whether or not their majors have any effect on starting salaries after graduation. Suppose that 300 recent graduates were surveyed as to their majors in college and their starting salaries after graduation. Below are the data. Conduct a chi-square test.
|
Major |
< $50,000 |
$50,000 - $68,999 |
$69,000 + |
|
English |
5 |
20 |
5 |
|
Engineering |
10 |
30 |
60 |
|
Nursing |
10 |
15 |
15 |
|
Business |
10 |
20 |
30 |
|
Psychology |
20 |
30 |
20 |
4. Do men and women select different breakfasts? The breakfast ordered by randomly selected men and women at a popular breakfast place is shown below. Conduct a chi square test.
|
|
French Toast |
Pancakes |
Waffles |
Omelettes |
|
Men |
47 |
35 |
28 |
53 |
|
Women |
65 |
59 |
55 |
60 |
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