IGNOU MST 5 2018 - The following data represent the number of units of production per day

Question

The following data represent the number of units of production per day turned out by 5 different workers using four different types of machines:

Workers

Machine Type

A

B

C

D

1

2

3

4

5

54

56

44

53

48

50

46

48

52

57

62

54

56

59

46

53

42

43

49

a) Test whether the mean productivity is the same for the different machine types.

b) Test whether the 5 workers differ with respect to mean productivity.

16 Feb 2018

Answer :

Word Count : 243

Define productivity as the number of units of production per day turned out by workman using a certain type of machines

.The mean productivity for the machine type A is

$x_{a} = \frac{55+56+44+53+48}{5} =\frac{256}{5} = 51.2$

The mean productivity for the machine type B is

$x_{b} = \frac{48+50+46+48+52}{5} =\frac{244}{5} = 48.8$

The

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