Packaging: A variety of packing solutions exist for products that must be kept within a specific temperature range.  Cold chain distribution is particularly useful in the food and pharmaceutical industries.  A packaging company strives to maintain a constant temperature for its packages.  It is believed that the temperature for its packages follows and normal distribution with a mean of 5 degrees Celsius and a standard deviation of 0.3 degrees Celsius.  Inspectors take weekly samples for 5 weeks of eight randomly selected boxes and report the temperature in degrees Celsius.  The data is given below: Week 1 Week 2 Week 3 Week 4 Week 5 3.98 5.52 5.79 3.98 5.14 4.99 5.52 6.42 5.79 6.25 5.15 4.98 4.88 5.77 4.89 5.23 4.28 4.02 4.3 5.99 4.77 5.12 4.76 6.41 6.35 5.21 5.08 5.08 4.55 5.11 5.51 5.86 4.58 6.02 6.02 4.95 4.95 5.44 5.95 4.28 Are any points outside the control limits? Does it appear that the process is in control?  Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Packaging: A variety of packing solutions exist for products that must be kept within a specific temperature range.  Cold chain distribution is particularly useful in the food and pharmaceutical industries.  A packaging company strives to maintain a constant temperature for its packages.  It is believed that the temperature for its packages follows and normal distribution with a mean of 5 degrees Celsius and a standard deviation of 0.3 degrees Celsius.  Inspectors take weekly samples for 5 weeks of eight randomly selected boxes and report the temperature in degrees Celsius.  The data is given below:

Week 1 Week 2 Week 3 Week 4 Week 5
3.98 5.52 5.79 3.98 5.14
4.99 5.52 6.42 5.79 6.25
5.15 4.98 4.88 5.77 4.89
5.23 4.28 4.02 4.3 5.99
4.77 5.12 4.76 6.41 6.35
5.21 5.08 5.08 4.55 5.11
5.51 5.86 4.58 6.02 6.02
4.95 4.95 5.44 5.95 4.28

Are any points outside the control limits? Does it appear that the process is in control?  Explain. 

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