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# Control Limits and Standard Deviation

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A quality control inspector at the Beautiful Shampoo Company has taken three samples with four observations each of the volume of shampoo bottles filled. The data collected by the inspector and the computed means are shown here:

Samples of Shampoo Bottles/Volume in Ounces

Observation 1 2 3
1 19.7 19.7 19.7
2 20.6 20.2 18.7
3 18.9 18.9 21.6
4 20.8 20.7 20.0
Mean 20.0 19.875 20.0

If the standard deviation of the shampoo bottle-filling operation is 0.2 ounces, use the information in the table to develop control limits of 3 standard deviations for the operation.

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#### Solution Summary

This solution provides calculations for finding control limits based on standard deviation.

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