Question

A quality analyst wants to construct a sample mean chart for controlling a packaging process. Each day last week, he randomly selected six packages and weighed each. The data from that activity appears below.

	Weight (in grams)
Day	Package 1	Package 2	Package 3	Package 4	Package 5	Package 6
Monday	23	22	23	24	23	21
Tuesday	23	21	19	21	24	20
Wednesday	20	19	20	21	19	20
Thursday	18	19	20	19	21	22
Friday	18	20	22	20	19	21

To assist students, I am attaching the Factors for Determining Control Limits from your text

        Sample size                 A2           D3         D4

              2                          1.880          0          3.268

              3                          1.023          0          2.574

              4                          0.729          0          2.282

              5                          0.577          0          2.115

              6                          0.483          0          2.004

              7                          0.419       0.076      1.924

              8                          0.373       0.136      1.864

              9                          0.337       0.184      1.816

             10                         0.308       0.223      1.777

             12                          0.266       0.284    1.716

Assuming three (3) sigma limits (corresponding to 99.73 percent), construct:

1. the upper and lower control limits for a Mean chart;                                                    

2. the upper and lower control limits for a Range chart;                                                    

3. Examining the data and your constructed charts from above, is the process in control, heading out of control or already out of control? Briefly justify your answer in no more than 1-2 sentences (60 words maximum).                                                                                                         

Answer 1

ANSWER::

Belwo is the screenshot of the formula applied -

Below is the screenshot of the result -

Since mean of sample 1 is out of control limit hence process is not in control.

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