Question

In: Statistics and Probability

Problem 4. A high-voltage power supply should have a nominal output voltage of 350 V. A...

Problem 4. A high-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 (see sheet Problem4 in Homework 4.xlsx) give the difference between the observed reading on each unit and the nominal voltage times ten; that is, ?? = (observed voltage on unit ? - 350)*10 (a) Set up ?̅ and ? charts on this process. Is the process in statistical control? (2 points) (b) If specifications are at 350 V ±5 V, estimate ? and ? , ? and ? ? (2 points) ? ??? ?? (c) What can you say about process capability ??? (2 points)

Sample x1 x2 x3 x4 Xbar R
1 6 9 10 15 10 9
2 10 4 6 11 7.75 5
3 7 8 10 5 7.5 5
4 8 9 6 13 9 7
5 9 10 7 13 9.75 6
6 12 11 10 10 10.75 2
7 16 10 8 9 10.75 7
8 7 5 10 4 6.5 6
9 9 7 8 12 9 4
10 15 16 10 13 13.5 6
11 8 12 14 16 12.5 8
12 6 13 9 11 9.75 7
13 16 9 13 15 13.25 7
14 7 13 10 12 10.5 6
15 11 7 10 16 11 9
16 15 10 11 14 12.5 5
17 9 8 12 10 9.75 3
18 15 7 10 11 10.75 8
19 8 6 9 12 8.75 6
20 13 14 11 15 13.25 4

Solutions

Expert Solution

Yes, The Process is in Statistical Control.

Sample size 4
Number of samples 20
Mean Range
Upper Control Limit, UCL 14.88 14.26
Center 10.33 6.25
Lower Control Limit, LCL 5.77

0.00


C-hatp = 5.49, so the process is capable.


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