Mathematics, 13.10.2020 06:01 rpegler4
Standard deviation is a useful concept in performance management. Let us say that a director in a local fire department wants to know any variation between the performance of this year and that of the last year. He draws a sample of 10 response times of this year ( in minutes):
3.0, 12.0, 7.0, 4.0, 4.0, 6.0, 3.0, 9.0, 11.0, and 15.0, comparing them with a sample of 10 response times last year ( in minutes): 8.0, 7.0, 8.0, 6.0, 6.0, 9.0, 7.0, 9.0, 8.0, and 6.0.
Required:
a. Does he see a performance variation by the mean?
b. Does he see a performance variation by the standard deviation? If he does, is it performance improvement or deterioration from the last year? Why?
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