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

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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?

 

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