Question

The following data relate to the number of items produced per shift followed normal distribution by two workers Rahul and Ramesh for a number of days:

Rahul

19

22

24

27

24

18

20

19

25

 

Ramesh

26

37

40

35

30

40

26

30

35

45

Can it be inferred that Rahul is more stable worker compared to Ramesh by testing the variation in the item produced by them at 5% level of significance.

04 Feb 2023
Answer :
Word Count : 374

To compare the stability of the two workers, we can calculate the standard deviation of the items produced by each of them and perform a hypothesis test to determine if there is a significant difference between the two standard deviations. If the standard deviation for Rahul is lower than that for Ramesh, we can conclude that Rahul is more stable.

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