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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
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
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!
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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Research Design Formulation
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman