a. Do you find statistical differences in the average salary between different gender? Explain your hypothesis analysis! b. b. Do you find statistical differences in the average salary between majors in College? Explain your hypothesis analysis! c. Do you find an interaction between Gender and College background? Explain your hypothesis analysis! C.
a. Do you find statistical differences in the average salary between different gender? Explain your hypothesis analysis! b. b. Do you find statistical differences in the average salary between majors in College? Explain your hypothesis analysis! c. Do you find an interaction between Gender and College background? Explain your hypothesis analysis! C.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
Related questions
Topic Video
Question
![Table 1 below records employees' annual salary (in $000) by gender and college background. All
employees graduated from College in spring 2000. The number in brackets represents the number of
observations in each cross-category.
Table 1. Annual Salary and Observation Number by Gender and College Background
Gender:
College Background:
Female
Male
Grand Total
Computer Science
25.64 (74)
24.33 (35)
25.22 (109)
Commerce
24.40 (22)
25.26 (28)
24.88 (50)
Communication
32.99 (8)
31.96 (45)
32.11 (53)
Grand Total
25.95 (104)
27.75
26.86 (212)
(108)
You are asked to test the equality of means between levels in gender, college background, and the
presence of interactions between gender and college background with the ANOVA procedure. With
the significance level of 0.05, the following is the ANOVA Table.
Table 2. ANOVA Table
Mean
Source
Sum of Squares
Df
F
F-Criteria
Square
Gender
171.68
1
171.68
3.975
3.887
College
1,797.38
2
898.69
17.665
3.040
Gender * College
39.43
2
19.71
0.387
3.040
Error
10,480.05
206
50.87
Total
12,488.53
211](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85ed45b9-42c9-495f-b51b-42ac5f0552b2%2F42e33b85-7b75-4db9-ab3f-cb8ccf745d3a%2F8umy4jq_processed.png&w=3840&q=75)
Transcribed Image Text:Table 1 below records employees' annual salary (in $000) by gender and college background. All
employees graduated from College in spring 2000. The number in brackets represents the number of
observations in each cross-category.
Table 1. Annual Salary and Observation Number by Gender and College Background
Gender:
College Background:
Female
Male
Grand Total
Computer Science
25.64 (74)
24.33 (35)
25.22 (109)
Commerce
24.40 (22)
25.26 (28)
24.88 (50)
Communication
32.99 (8)
31.96 (45)
32.11 (53)
Grand Total
25.95 (104)
27.75
26.86 (212)
(108)
You are asked to test the equality of means between levels in gender, college background, and the
presence of interactions between gender and college background with the ANOVA procedure. With
the significance level of 0.05, the following is the ANOVA Table.
Table 2. ANOVA Table
Mean
Source
Sum of Squares
Df
F
F-Criteria
Square
Gender
171.68
1
171.68
3.975
3.887
College
1,797.38
2
898.69
17.665
3.040
Gender * College
39.43
2
19.71
0.387
3.040
Error
10,480.05
206
50.87
Total
12,488.53
211
![a. Do you find statistical differences in the average salary between different gender? Explain
your hypothesis analysis!
b. b. Do you find statistical differences in the average salary between majors in College?
Explain your hypothesis analysis!
c. c. Do you find an interaction between Gender and College background? Explain your
hypothesis analysis!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85ed45b9-42c9-495f-b51b-42ac5f0552b2%2F42e33b85-7b75-4db9-ab3f-cb8ccf745d3a%2F0nlyqo_processed.png&w=3840&q=75)
Transcribed Image Text:a. Do you find statistical differences in the average salary between different gender? Explain
your hypothesis analysis!
b. b. Do you find statistical differences in the average salary between majors in College?
Explain your hypothesis analysis!
c. c. Do you find an interaction between Gender and College background? Explain your
hypothesis analysis!
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage