Give your answer by performing the following steps:

i. state the null and alternative hypotheses

ii. find the critical value

iii. compute the test (calculated) value

iv. make your decision

v. summarise the results and conclude your findings, and

vi. if there is a difference, proceed to the post hoc test

Q1. Workers are randomly assigned to four machines on an assembly line. The number of defective parts produced by each worker for one day is recorded. The data are shown here. At a = 0.05, test the claim that the mean number of defective parts produced by the workers is the same.

Machine 1

3

2

0

6

4

3

5

Machine 2

8

6

2

0

1

9

7

Machine 3

10

9

8

11

12

15

17

Machine 4

9

15

3

0

2

0

1