Question

In: Statistics and Probability

A food processor makes frozen TV dinners. To control costs and provide a consistent product, the...

  1. A food processor makes frozen TV dinners. To control costs and provide a consistent product, the company has established specifications for portion sizes in the dinners. A particular entrée has a portion specification of 113.00 ± 3.00 grams. A QC tech takes a random sample of 60 dinners from the line and carefully weighs the entrée portion, resulting in the following data.

Develop a histogram

112.91 112.17 113.95 112.16 114.26 114.19 114.53 112.72 113.49 114.23

for this data. Comment on what it reveals.

113.58 114.32 112.48 114.59 114.84 113.79 112.02 112.78 114.56 114.45 112.79 113.44 112.87 114.42 111.80 114.22 112.36 114.51 114.41 114.39

113.94 113.50 112.03 114.89 114.40 113.74 113.54 113.34 114.38 111.91 113.12 113.75 114.90 115.13 112.35 112.13 112.68 114.17 113.45 111.90

114.28 112.60 113.04 112.69 114.04 112.49 113.51 113.31 114.68 112.80

Solutions

Expert Solution

Part 1:

Histogram...

Part 2:

The Upper Control Limit in this case is: = 113 + 3 = 116 grams

The Lower Control Limit in this case is: = 113 - 3 = 110 grams

The control chart is given below:

The process is under control as all the points are under the control limits..

Part 3:

The control chart is given below:

The process is under control as all the points are under the control limits..

Part 4:

The control chart is given below:

The process is under control as all the points are under the control limits..

End of the Solution...

orchestra answered 2 years ago
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