A company wants to compare productivity at two of their faci

A company wants to compare productivity at two of their facilities. Location A has a mean value of 9.85 and a variance of 81.73. Location B has a mean value of 8.08 and a variance of 78.46. The data from Location A was obtained from 10 samples, while that in B was obtained from 8 samples. Please check if the productivity and its variability are same in both locations.

Solution

Location A :

Sample mean value = 9.85

Sample variance value = 81.73 / 10 = 8.173

Location B :

Sample mean value = 8.08

Sample variance value = 78.46 / 8 = 9.80

No , productivity and its variability are not same in both locations.