A study of 3 different groups of 8 employees (24 people total) were surveyed to

Question

A study of 3 different groups of 8 employees (24 people total) were surveyed to determine their daily commuting mileage. The boss wants to test the claim that the commuting mileage is the same for each group. Find the mean square for Factor (Between) and Error (Within) and F Statistic.

Source of Variation

Sum of Squares (SS)

Degrees of Freedom (df)

Mean Square (MS)

F-Statistic

Factor (Between)

3034

2

Error (Within)

3501

21

Total

6535

23

Source of Variation

Sum of Squares (SS)

Degrees of Freedom (df)

Mean Square (MS)

F-Statistic

Factor (Between)

3034

2

Error (Within)

3501

21

Total

6535

23

Explanation / Answer

Consider:

Source of Variation Sum of Squares (SS) Degrees of Freedom (df) Mean Square (MS) F-Statistic Factor (Between) 3034 2 3034/2=1517 1517/166.7143=9.0994 Error (Within) 3501 21 3501/21=166.7143 Total 6535 23

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