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3. A quality control inspector has taken four samples with five observations each at the Beautiful...

3. A quality control inspector has taken four samples with five observations each at the Beautiful Shampoo Company, measuring the volume of shampoo per bottle. If the average range for the four samples is 0.4 ounces and the average mean of the observations is 19.8 ounces, develop 3-sigma control limits for the bottling operation.

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Answer #1

Solution:

Please find the formulas for calculating the control limits,

1: For X-Chart,

Hence, The value of constant A2 for the sample size of 4 is,



Hence,


Hence,

UCL is 20.09 and LCL is 19.51 if for Range Chart.

2: For Range Chart Limits

For sample Size of 4,

D3 = 0
D4 = 2.282

Hence,

Hence, UCL is 0.91 and LCL is 0 for Range Chart

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