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Problem: Data are collected to evaluate productivity of two workers. A task is given to two workers repeatedly and the time to finish the task is recorded. The shorter the time is, the more efficient the worker is. The following table is the results.
Repetition Worker A Worker B
1 29 31
2 28 29
3 31 32
4 37 30
5 26 28
(a) Compute the mean time to finish the task for each worker. Based on mean, who is more efficient?
(b) Compute the median time to finish the task for each worker. Based on median, who is more efficient?
(c) Compute the range for each worker. Based on range, who is more reliable?
(d) Worker A's sample variance is 17.7. Compute worker B's sample variance. Based on the sample variance, who is more reliable?
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