The First Table below records employees’ annual salary (in $000) by gender and University background. All employees graduated from University in autumn 2010.  The number in brackets represents the number of observations in each cross-category. Tables Attached Question: Do you find statistical differences in the average salary between different gender?  Explain your hypothesis analysis!

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
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The First Table below records employees’ annual salary (in $000) by gender and University background. All employees graduated from University in autumn 2010.  The number in brackets represents the number of observations in each cross-category.

Tables Attached

Question:

Do you find statistical differences in the average salary between different gender?  Explain your hypothesis analysis!

First Table. Annual Salary and Observation Number by Gender and University Background
Gender:
University Background:
Female
Male
Grand Total
25.64 (74)
24.33_(35)
25.26_ (28)
31.96_(45)
25.22 (109)
24.88 (50)
32.11 (53)
Computer Science
24.40 (22)
32.99 (8)
25.95 (104)
Commerce
Communication
Grand Total
27.75
26.86 (212)
(108)
You are asked to test the equality of means between levels in gender, university background, and the
presence of interactions between gender and university background with the ANOVA procedure. With
the significance level of 0.05, the following is the ANOVA Table.
Second Table. ANOVA Table
Mean
Source
Sum of Squares
Df
F
F-Criteria
Square
Gender
171.68
1
171.68
3.975
3.887
University
1,797.38
898.69
17.665
3.040
Gender * University
39.43
2
19.71
0.387
3.040
Error
10,480.05
206
50.87
Total
12,488.53
211
Transcribed Image Text:First Table. Annual Salary and Observation Number by Gender and University Background Gender: University Background: Female Male Grand Total 25.64 (74) 24.33_(35) 25.26_ (28) 31.96_(45) 25.22 (109) 24.88 (50) 32.11 (53) Computer Science 24.40 (22) 32.99 (8) 25.95 (104) Commerce Communication Grand Total 27.75 26.86 (212) (108) You are asked to test the equality of means between levels in gender, university background, and the presence of interactions between gender and university background with the ANOVA procedure. With the significance level of 0.05, the following is the ANOVA Table. Second Table. ANOVA Table Mean Source Sum of Squares Df F F-Criteria Square Gender 171.68 1 171.68 3.975 3.887 University 1,797.38 898.69 17.665 3.040 Gender * University 39.43 2 19.71 0.387 3.040 Error 10,480.05 206 50.87 Total 12,488.53 211
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