jobs. The company randomly selected four males and four females in each area and recorded their weekly salaries in dollars. (50) Manufacturing  Female : 1016, 1007, 875, 968 Male : 978, 1056, 982, 748 Marketing : Female : 1045, 895, 848, 904 Male: 1154, 1091, 878, 876 Research and Development Female: 770,733, 844,771 Male:  926, 1055, 1066, 1088 a)Draw the interaction graph

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
icon
Related questions
Question


Q3. A large company is organized into three functional areas: manufacturing, marketing, and
research and development. The employees claim that the company pays women less than men for
similar jobs. The company randomly selected four males and four females in each area and
recorded their weekly salaries in dollars.
(50)
Manufacturing 
Female : 1016, 1007, 875, 968
Male : 978, 1056, 982, 748

Marketing :
Female : 1045, 895, 848, 904
Male: 1154, 1091, 878, 876

Research and Development

Female: 770,733, 844,771
Male:  926, 1055, 1066, 1088

a)Draw the interaction graph. Based on your observations from the graph and data, is there an interaction effect of gender and area on salary?

b)Compute an ANOVA with replication using statistical software (not manually), and use
the 0.05 level to test for gender, area, and interaction effects on salary. Report the statistical
results. Write the testing of hypothesis procedure for testing the three null hypotheses
completely. Specify and state all six-steps.
(20)

c) Compare the male and female mean salary for each area using statistical techniques. (15)

In light of all of the above statistical analysis, what do you recommend to the company CEО?

 

Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill