Statistical Process ControlWhole Grains LCC uses statistical process control to ensure that their health-conscious, low-fat, multi-grain sandwich loaves have the proper weight of 6 oz. Over the past few days, they have taken five observations of four samples and have found the following. Construct the upper and control limits. Do the results suggest that the process is in controlObservationLoaf #1Loaf #2Loaf #3Loaf #416.36.05.95.926.06.16.35.836.34.85.65.346.26.06.25.956.56.46.56.8Totals31.329.330.529.7Observationloaf1loaf2loaf3loaf416.36.05.95.926.06.16.35.836.34.85.65.346.26.06.25.956.56.46.56.8Total31.329.330.529.7Mean6.265.866.15.94Range0.51.60.91.5Average mean = (mean1+mean2+mean3+mean4)/4= 24.16/4 = 6.04 Average Range =( R1+R2+R3+R4)/4= 4.5/4= 1.125Here, n = 5For n=5, tabulated values are as follows.A2 = 0.577D3 = 0D4 = 2.114Compute for the upper and lower limits.Determine if the results suggest that the process is in control.

Given Average mean=6.04 Average Range=1.125 n=5, A2=0.577, D3=0 and D4=2.114

Answered: Statistical Process Control Whole…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Statistical Process Control

Whole Grains LCC uses statistical process control to ensure that their health-conscious, low-fat, multi-grain sandwich loaves have the proper weight of 6 oz. Over the past few days, they have taken five observations of four samples and have found the following. Construct the upper and control limits. Do the results suggest that the process is in control

Observation	Loaf #1	Loaf #2	Loaf #3	Loaf #4
1	6.3	6.0	5.9	5.9
2	6.0	6.1	6.3	5.8
3	6.3	4.8	5.6	5.3
4	6.2	6.0	6.2	5.9
5	6.5	6.4	6.5	6.8
Totals	31.3	29.3	30.5	29.7

Observation	loaf1	loaf2	loaf3	loaf4
1	6.3	6.0	5.9	5.9
2	6.0	6.1	6.3	5.8
3	6.3	4.8	5.6	5.3
4	6.2	6.0	6.2	5.9
5	6.5	6.4	6.5	6.8
Total	31.3	29.3	30.5	29.7
Mean	6.26	5.86	6.1	5.94
Range	0.5	1.6	0.9	1.5

Average mean = (mean1+mean2+mean3+mean4)/4

= 24.16/4

= 6.04

Average Range =

( R1+R2+R3+R4)/4

= 4.5/4

= 1.125

Here, n = 5

For n=5, tabulated values are as follows.

A2 = 0.577

D3 = 0

D4 = 2.114

Compute for the upper and lower limits.
Determine if the results suggest that the process is in control.

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