Construct a control chart to represent the operation


Problem:

Need help preparing a memo which will be presented to the executive management team of Business Advantage International. Include the following items in your memo:

o Your recommendations for a quality improvement process
o Analysis of specific processes of the organization to support your recommendations

Support your recommendations using descriptive statistics:

o    Obtain the mean and standard deviation of the provided data.
o    Build a histogram for data frequencies.
o    Construct a control chart to represent the operation.
o    Answer the question: Is the process still in control?

Business Advantage International (BAI), LLC. is a quality consulting firm that cover areas of textile product quality. BAI recently received a call from DAK, Inc. who weaves fabric and then prepare the required sheet lengths as desired by customers. They have received recent complaints that the fabric weight, measured in oz per square inch, is not meeting customer requirement which are very close to the control limits.

DAK, Inc. checks the fabric weight on regular basis and know that their process for fabric weight has a mean of 2.73 oz/in2, and a standard deviation of 0.31.

The following table shows 50 fabric weight measurements of fabric samples collected by DAK, Inc. lab personnel:

Observation    Fabric Weight
1      2.78
2      2.46
3      3.00
4      2.80
5      2.71
6      2.61
7      3.12
8      3.02
9      2.94
10    2.44
11    3.06
12    2.90
13    2.74
14    2.57
15    2.06
16    2.32
17    2.62
18    2.41
19    2.43
20    3.44
21    2.69
22    2.36
23    1.92
24    2.00
25    2.63
26    2.75
27    2.79
28    2.81
29    2.81
30    2.43
31    2.86
32    3.09
33    3.18
34    3.26
35    3.29
36    3.30
37    3.30
38    3.31
39    3.33
40    3.35
41    3.35
42    3.34
43    3.50
44    3.55
45    3.65
46    3.78
47    4.00
48    4.01
49    3.99
50    4.00

Calculate the Mean and the Standard deviation on the lab collected samples. Is the mean and standard deviation still the same as the original process?

Build a histogram of the data frequencies.

The upper and lower control limits (UCL and LCL) established for this process were 3.66 and 1.8 respectively. Construct a control chart to represent the operation. Is the process still in control?

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