Question

5. The following data represent the number of units of production per day turned out by 5 different workers using 4 different types of machines :
Machine type
Workers A B C D
1 44 38 47 36
2 46 40 52 43
3 34 36 44 32
4 43 38 46 33
5 38 42 49 39
(a) Test whether the mean productivity is the same for the different machine types.
(b) Test whether the 5 men differ with respect to mean productivity.