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 |
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| 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.
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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