Question: Problem 1) Processed potatoes must meet stringent quality control standards. To meet those standards, Canadas Best needs to create three-sigma mean and range control charts
Problem 1)
Processed potatoes must meet stringent quality control standards. To meet those standards, Canadas Best needs to create three-sigma mean and range control charts for its inspection process. For those charts, the company has collected the following samples of its process output.
Calculate Total for each sample, Mean of each sample, and Range of each sample to one decimal. Calculate the Average Mean and the Average Range to two decimals. Remember: n = number of observations per sample!
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| Sample 1 | Sample 2 | Sample 3 | Sample 4 |
| Observation 1 | 8.1 | 7.9 | 8.0 | 8.1 |
| Observation 2 | 7.6 | 7.5 | 8.2 | 7.9 |
| Observation 3 | 7.3 | 8.0 | 7.9 | 8.0 |
| Observation 4 | 8.3 | 8.1 | 7.8 | 8.0 |
| Observation 5 | 8.2 | 7.4 | 7.7 | 7.9 |
| Total = |
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| Mean (x)= |
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| Average Mean
x= |
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| Range (R) (Max Min) = |
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| Average Range R= |
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Problem 1 (continued):
| Table of Factors for Control Chart Control Limits Based on Three-Sigma | |||
| No. of Observations in Sample n | Factor A2 | Factor D3 | Factor D4 |
| 3 | 1.02 | 0 | 2.57 |
| 4 | 0.73 | 0 | 2.28 |
| 5 | 0.58 | 0 | 2.11 |
Use the average mean and range values, along with the information in the table above, to determine the upper control limit and lower control limit for both the mean and the range control charts.
In preparation for creating the quality control charts, fill in the appropriate values in the table below.
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| Mean | Upper Control Limit | Lower Control Limit |
| Mean Control Chart |
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| Range Control Chart |
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