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.

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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!
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