What are the population means for the mean and the range? What are the upper and lower control limits for the sample means chart? What are the upper and lower controls for the range chart?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A logistics manager wants to assess how varied the weight of lorry loads is over a period of time. He takes a 5 samples of 20 lorry loads (n) and notes the average load (tonnes) and the range within each sample.

Sample

Weight average in tonnes (x)

Range (R)

1

15.5

4.5

2

12.3

5.3

3

8.8

6.2

4

10.3

5.2

5

13.1

3.8

  1. What are the population means for the mean and the range?
  2. What are the upper and lower control limits for the sample means chart?
  3. What are the upper and lower controls for the range chart?
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