Table 1 below records employees' annual salary (in $000) by gender and college background. Allemployees graduated from College in spring 2000. The number in brackets represents the number ofobservations in each cross-category.Table 1. Annual Salary and Observation Number by Gender and College BackgroundGender:College Background:FemaleMaleGrand TotalComputer Science25.64 (74)24.33 (35)25.22 (109)Commerce24.40 (22)25.26 (28)24.88 (50)Communication32.99 (8)31.96 (45)32.11 (53)Grand Total25.95 (104)27.7526.86 (212)(108)You are asked to test the equality of means between levels in gender, college background, and thepresence of interactions between gender and college background with the ANOVA procedure. Withthe significance level of 0.05, the following is the ANOVA Table.Table 2. ANOVA TableMeanSourceSum of SquaresDfFF-CriteriaSquareGender171.681171.683.9753.887College1,797.382898.6917.6653.040Gender * College39.43219.710.3873.040Error10,480.0520650.87Total12,488.53211 a. Do you find statistical differences in the average salary between different gender? Explainyour 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 yourhypothesis analysis!

Name: Table 1 below records employees' annual salary (in $000) by gender an
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Description: Table 1 below records employees' annual salary (in $000) by gender and college background. Allemployees graduated from College in spring 2000. The number in brackets represents the number ofobservations in each cross-category.Table 1. Annual Salary

Given: Decision Rule: If F greater than F-criteria then reject null hypothesis. Otherwise, fails to…

Math

Statistics

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.