Question

1. A high-level voltage power supply should have a nominal output voltage of 350 V. A sample of four units is selected each day and tested for process-control purposes. The data (20 days, 1 sample/day) shown in the table below give the difference between the observed reading on each unit and the nominal voltage times ten; that is, x_i = (observed voltage on unit 350)*10.

	Voltage Data			Voltage Data
Sample #	xi		Sample #	xi
1	6		11	8
1	9		11	12
1	10		11	14
1	15		11	16
2	10		12	6
2	4		12	13
2	6		12	9
2	11		12	11
3	7		13	16
3	8		13	9
3	10		13	13
3	5		13	15
4	8		14	7
4	9		14	13
4	6		14	10
4	13		14	12
5	9		15	11
5	10		15	7
5	7		15	10
5	13		15	16
6	12		16	15
6	11		16	10
6	10		16	11
6	10		16	14
7	16		17	9
7	10		17	8
7	8		17	12
7	9		17	10
8	7		18	15
8	5		18	7
8	10		18	10
8	4		18	11
9	9		19	8
9	7		19	6
9	8		19	9
9	12		19	12
10	15		20	13
10	16		20	14
10	10		20	11
10	13		20	15

1. Calculate the UCL and LCL for the x̄-chart.
2. Calculate the UCL and LCL for the R-chart.
3. Set up x̄ and R charts on this process. Is the process in statistical control?
4. If specifications are at 350 V ± 5 V, what can you say about process capability? Calculate C_p. Interpret the calculated value of C_p.
5. Calculate C_pk. Interpret the calculated value of C_pk.

Answer 1

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