Answer to Question #282362 in Statistics and Probability for nanadjoa

Question

Two workers on the same job show the following results over a long period of time.

Worker Worker

A B

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Mean time of completing the job (minutes) 30 25

Standard deviation (minutes) 6 4

i. Which worker appears to be more consistent in the time he requires to complete the job?

Explain.

ii. Which worker appears to be faster in completing the job? Explain

Answer 1

Solution:

(i) Worker B appears to be more consistent in the time he requires to complete the job , since he has a smaller variance.

(ii) Worker B appears to be faster in completing the job, since he has a smaller mean.