The human resources department of a large company looks at the hours worked by p

Question

The human resources department of a large company looks at the hours worked by people in three types of job. They sample a number of employees in three categories and record the hours worked last month. The table below displays the number of employees in each category, their average hours worked and the standard deviation in the hours worked.

Suppose you were going to perform a one-way Analysis of Variance with these data. What would be the Mean Square Treatments (what we call call MS(Tr) ) in the ANOVA? Note: Express your answer with two decimal places. Do not work overtime if Canvas pads this by adding zeros.

Category No. of Employees Average Hours Std.Deviation Marketing 16 157.3 13.37 Production 21 188.8 20.31 Logistics 11 165.8 14.03

Explanation / Answer

grand average = (157.3+188.8+165.8)/3 = 170.6333

MS(Tr) = [16*(157.3-170.6333)2 + 21*(188.8-170.633)2 + 11*(165.8-170.633)2 ]/ (3-1)

= 10032.2/2

= 5016.1

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