This module provides homework on Chi-Square Distribution as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
Word problems
A recent debate about where in the United States skiers believe the skiing is best prompted the following survey. Test to see if the best ski area is independent of the level of the skier.
U.S. Ski Area
Beginner
Intermediate
Advanced
Tahoe
20
30
40
Utah
10
30
60
Colorado
10
40
50
4
10.53
0.0324
Decision: Reject null; Conclusion: Best ski area and level of skier are not independent.
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 test for independence.
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
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 test for independence.
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
8
33.55
0
Decision: Reject null; Conclusion: Major and starting salary are not independent events.
Some travel agents claim that honeymoon hot spots vary according to age of the bride and groom. Suppose that 280 East Coast recent brides were interviewed as to where they spent their honeymoons. The information is given below. Conduct a test for independence.
Location
20 - 29
30 - 39
40 - 49
50 and over
Niagara Falls
15
25
25
20
Poconos
15
25
25
10
Europe
10
25
15
5
Virgin Islands
20
25
15
5
A manager of a sports club keeps information concerning the main sport in which members participate and their ages. To test whether there is a relationship between the age of a member and his or her choice of sport, 643 members of the sports club are randomly selected. Conduct a test for independence.
Sport
18 - 25
26 - 30
31 - 40
41 and over
racquetball
42
58
30
46
tennis
58
76
38
65
swimming
72
60
65
33
6
25.21
0.0003
Decision: Reject null
A major food manufacturer is concerned that the sales for its skinny French fries have been decreasing. As a part of a feasibility study, the company conducts research into the types of fries sold across the country to determine if the type of fries sold is independent of the area of the country. The results of the study are below. Conduct a test for independence.
Type of Fries
Northeast
South
Central
West
skinny fries
70
50
20
25
curly fries
100
60
15
30
steak fries
20
40
10
10
According to Dan Lenard, an independent insurance agent in the Buffalo, N.Y. area, the following is a breakdown of the amount of life insurance purchased by males in the following age groups. He is interested in whether the age of the male and the amount of life insurance purchased are independent events. Conduct a test for independence.
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
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Source:
OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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