Question

In: Statistics and Probability

A fruit juice company sells a glass container filled with 24 ounces of cranapple juice. Inspectors...

A fruit juice company sells a glass container filled with 24 ounces of cranapple juice. Inspectors are concerned about the consistency of volume of fill in these containers. Every 2 hours for 3 days of production, a sample of five containers is randomly selected and the volume of fill is measured. The results follow. Use this information to construct x¯ and R charts.

Sample 1 Sample 2 Sample 3 Sample 4
24.05 24.01 24.03 23.98
24.01 24.02 23.95 24.00
24.02 24.10 24.00 24.01
23.99 24.03 24.01 24.01
24.04 24.08 23.99 24.00
Sample 5 Sample 6 Sample 7 Sample 8
23.97 24.02 24.01 24.08
23.99 24.05 24.00 24.03
24.02 24.01 24.00 24.00
24.01 24.00 23.97 24.05
24.00 24.01 24.02 24.01
Sample 9 Sample 10 Sample 11 Sample 12
24.00 24.00 24.01 24.00
24.02 24.01 23.99 24.05
24.03 24.00 24.02 24.04
24.01 24.00 24.03 24.02
24.01 24.00 24.01 24.00

Solutions

Expert Solution

Sample no. Sample mean Sample range

1

24.02 0.06
2 24.05 0.09
3 24 0.08
4 24 0.03
5 24 0.05
6 20.02 0.05
7 24 0.05
8 24.03 0.08
9 24.01 0.03
10 24 0.01
11 24.01 0.04
12 24.02 0.05
Total 288.19 0.62


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