A gaming company develops different game packages that are downloadable from their servers on the internet. They need to make sure the download speed of their servers is as planned and adjust the capacity of their servers anytime needed. They measure the download time of their software 6 times a day for 5 days as shown in the table below. The standard deviation of the download time is 4.5.                                               Download time in seconds Day 1 Day 2 Day 3 Day 4 Day 5 41 41 37 36 37 44 45 46 39 39 43 45 45 40 40 45 42 46 41 39 43 46 39 38 42 46 43 41 42 38     a. Construct an appropriate control chart (with two-sigma limits) to demonstrate if the download time is within the company’s expectation and the process is in control. (Round your answer to two decimal places.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
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A gaming company develops different game packages that are downloadable from their servers on the internet. They need to make sure the download speed of their servers is as planned and adjust the capacity of their servers anytime needed. They measure the download time of their software 6 times a day for 5 days as shown in the table below. The standard deviation of the download time is 4.5.

                                             

Download time in seconds
Day 1 Day 2 Day 3 Day 4 Day 5
41 41 37 36 37
44 45 46 39 39
43 45 45 40 40
45 42 46 41 39
43 46 39 38 42
46 43 41 42 38
 

 

a. Construct an appropriate control chart (with two-sigma limits) to demonstrate if the download time is within the company’s expectation and the process is in control. (Round your answer to two decimal places.)

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