Quality Management Statistics.

Assignment3-1.pdf.docx

Home >Business & Finance homework help >Operations Management homework help >Quality Management Statistics.

1. For a process quality characteristics, the specification limits are 0.4037 +/- 0.0013 (that is from 0.4024 to 0.4050). The following data gives the data for 14 measurement data sets, each data set is a subgroup of 5 measurement. The value is recorded in the units of 0.0001 (that is, the specification limit will be considered 24 to 50) Based on the following data, compute Cp,Cpk,Pp and Ppk.(Use MINITAB is ok) and determine if the capability of the process.

Subgroup #	1	2	3	4	5	Subgroup #	1	2	3	4	5
1	36	35	34	33	32	8	34	38	35	34	38
2	31	31	34	32	30	9	36	35	37	34	33
3	30	30	32	30	32	10	30	37	33	34	35
4	32	33	33	32	35	11	28	31	33	33	33
5	32	34	37	37	35	12	33	30	34	33	35
6	32	32	31	33	33	13	35	36	29	27	32
7	33	33	36	32	31	14	33	35	35	39	36

2. The following table listed 25 subgroups of measurement data with group size 3:

#	c1	c2	c3	#	c1	c2	c3
1	50.3175	50.1224	50.4081	14	49.4319	50.1432	49.2045
2	49.5077	49.7629	49.4091	15	50.3789	50.2715	50.5952
3	49.3587	49.639	49.5229	16	48.6722	49.1436	49.1306
4	49.5005	49.5897	49.7904	17	49.5332	50.4829	50.0007
5	47.911	49.5549	48.6716	18	49.4866	47.9221	50.4324
6	49.8851	49.8281	49.8762	19	48.6924	50.1697	49.8926
7	49.9994	50.6484	50.4223	20	50.8253	50.7303	50.8569
8	49.58	49.4764	49.7899	21	50.3306	49.8906	49.5988
9	51.106	50.2333	50.4464	22	49.9728	51.6716	50.7228
10	50.7538	49.9355	51.4371	23	50.5934	50.7355	49.3386
11	49.7322	49.6442	50.2943	24	49.5547	49.7753	49.7181
12	48.5373	51.9875	48.6112	25	51.3211	48.048	51.7502
13	48.6753	48.9048	49.3312

(a) The specification limits are 49 +/- 3. Assume that the data is normally distributed! Estimate process capability ratio’s (Cp, Cpk, Pp, Ppk). Is the process capable?

(b) If the specification limits were 51 +/- 3. Re-calculate process capability ratio’s (Cp, Cpk, Pp, Ppk). Is the process still capable?