Part B. Questions 2-5. [ P-chart, C-chart, M-chart, R-chart ] Use the experimental data below to determine the center line (CL), upper control limit (UCL), and lower control limit (LCL) for each of the control charts M, R, C, and P. Assume the sample size for the experiment and for each control chart is six which is the number of metal holders per sample. Construct a P-chart for defectives per lot, a C-chart for the number of defects per lot, and M-chart and R-chart for the average length per lot. Although the data set from the experiment is small, assume an item is defective only if the length is greater than 23mm or less than 15mm. An item contains a defect only if it violates any of the set of quality characteristics. The set of quality characteristics is not given to us but the number of defects for each item has been determined and reported in the table below. Note that a defect in an item does not cause a defective item and a defective item does not cause a defect in the item. Keep the number of defects and defectives separate because the definition of a defect is different than a defective. In determining the control charts, construct each sample with consecutive item numbers beginning with item #1.

Holder#	Defects	Length (mm)
1	0	22
2	1	25
3	0	19
4	0	22
5	0	22
6	0	21
7	0	20
8	0	19
9	0	16
10	0	19
11	0	17
12	0	18
13	0	22
14	0	18
15	0	21
16	0	16
17	1	19
18	0	20
19	0	19
20	0	13
21	0	21
22	0	20
23	0	20
24	0	19

Question 2. For the M chart, what is the lower control limit, center line, and upper control limit?

	A	B	C	D	E
UCL	22.398	23.874	23.874	22.398	None of the above
CL	19.500	19.500	19.500	19.500
LCL	16.602	15.126	16.602	15.126

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