# Analysis of Variance ANOVA

Three methods of assembling a machine are compared to see whether there is a difference between the average (mean) times to assemble. Five mechanics with similar experiences and skills are used to do this testing. Each mechanic is asked to assemble the product using the three different methods. The following table gives the time taken to complete the task of assembling the machine.

Mechanic

Method 1

Method 2

Method 3

1

15

14

13

2

17

15

14

3

16

14

13

4

15

16

15

5

18

16

16

At the level of significance 0.05, is there a difference between these three methods of assembling the machine? Show all your work. Assume that the time to complete the assembly has normal distribution and assume that the variances of the time for all the methods are almost equal. Use an appropriate statistical test.

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#### Solution Summary

This posting provides solution to testing of means of completion time of three machines using Analysis of Variance (ANOVA).