ANOVA Analysis of Temporary Employee Work Duration Across Different Industries

Solved assignment conducting ANOVA to compare temporary employee work duration across various industries.

Amelia Ward
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ANOVA TestingThe manager of an agency providing temporary employees to city offices is analyzing thenumber of days temporary hires typically work in various types of industries.The data are as follows:a.Legal clerical: 2, 1, 4, 4, 2, 5, 6b.Accounting firms: 3, 6, 4, 5, 5, 7, 8c.Insurance: 5, 4, 7, 9, 9, 8, 11Using the data above, answer the following questions:Are there significant differences in the length of time temporary employee’s work in thedifferent industries?How much of the differences can be explained by the industry?Which groups are significantly different from others?Why would a manager be focused on measuring the number of days that a temporary works eachweek?SUMMARY FOR SINGLEFACTORSINDUSTRYTYPESTOTALSUMMEANVARIANCELegal Clerical7243.4285714293.2857AccountingFirms7385.4285714292.9524Insurance7537.5714285715.9524Legal Clerical2-3.428571429=-1.428571429(-1.428571429 x-1.428571429)=2.0401-3.428571429=-2.428571429(-2.428571429 x-2.428571429)=5.8974-3.428571429=0.571428571(0.571428571 x 0.571428571)=0.3264-3.428571429=0.571428571(0.571428571 x 0.571428571)=0.3262-3.428571429=-1.428571429(-1.428571429 x-1.428571429)=2.0405-3.428571429=1.571428571(1.571428571 x 1.571428571)=2.4696-3.428571429=2.571428571(2.571428571 x 2.571428571)=6.61219.71

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Variances2=Σ(x−M)2n−1S2 = 19.91728571/6S2 = 3.2857Accounting Firms3-5.428571429=-2.428571429(-2.428571429 x-2.428571429)=5.8976-5.428571429=0.571428571(0.571428571 x 0.571428571)=0.3264-5.428571429=-1.428571429(-1.428571429 x-1.428571429)=2.0405-5.428571429=-0.428571429(-0.428571429 x-0.428571429)=0.185-5.428571429=-0.428571429(-0.428571429 x-0.428571429)=0.187-5.428571429=1.571428571(1.571428571 x 1.571428571)=2.4698-5.428571429=2.571428571(2.571428571 x 2.571428571)=6.61217.71Variances2=Σ(x−M)2n−1s2 = 17.71428571/6s2 = 2.9524Insurance5-7.571428571=-2.571428571(-2.571428571 x-2.571428571)=6.6124-7.571428571=-3.571428571(-3.571428571 x-3.571428571)=12.757-7.571428571=-0.571428571(-0.571428571 x-0.571428571)=0.3269-7.571428571=1.428571429(1.428571429 x 1.428571429)=2.0409-7.571428571=1.428571429(1.428571429 x 1.428571429)=2.0408-7.571428571=0.428571429(0.428571429 x 0.428571429)=0.1811-7.571428571=3.428571429(3.428571429 x 3.428571429)=11.7535.71Variances2=Σ(x−M)2n−1
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