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ANOVA for delivery time.

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A local delivery company wishes to examine the time it takes drivers to drive specific routes. The following data was collected for three drivers for several days over the same route.
Driver 1 Driver 2 Driver 3
22.6 17.3 22.8
21.8 23.4 22.9
23.5 19.7 31.6
24.5 35.4

The ANOVA procedure was employed to evaluate the results. Interpret the following ANOVA output. Be sure to explicitly state Ho an Ha.

Anova: Single Factor

SUMMARY
Groups Count Sum Average Variance
Driver 1 3 67.90 22.63 0.72
Driver 2 4 84.90 21.23 11.06
Driver 3 4 112.70 28.18 40.22

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 105.92 2 52.96 2.73 0.12 4.46
Within Groups 155.28 8 19.41

Total 261.21 10

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Step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.

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