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# Two way ANOVA women men's salary

See the attached file for proper format.

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.

Area/Gender Female Male
Manufacturing 1016, 1007, 875, 968 978, 1056, 982, 748
Marketing 1045, 895, 848, 904 1154, 1091, 878, 876
Research and Development 770, 733, 844, 771 926, 1055, 1066, 1088

a. Draw the interaction graph. Based on your observations, is there an interaction effect?
Based on the graph, describe the interaction effect of gender and area on salary.
b. Use the 0.05 level to test for gender, area, and interaction effects on salary. Report
the statistical results.
c. Compare the male and female mean salaries for each area using statistical techniques.

Write out the hypotheses (both null and alternate), alpha, test statistic (highlight where it is calculated on your spreadsheet),
decision, conclusion as demonstrated in the odd-problem solution demonstrations
Gender
Area Female Male
Manufacturing 1016 978
1007 1056
875 982
968 748
Marketing 1045 1154
895 1091
848 878
904 876
Research & Development
770 926
733 1055
844 1066
771 1088

#### Solution Summary

Step by step method for computing test statistic for two way ANOVA is given in the answer.

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