Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 10, Problem 7SE
To set up a p chart to monitor a process that produces computer chips, samples of 300 chips are taken daily, and the number of defective chips in each sample is counted. The numbers of defective chips for each of the last 20 days are as follows:
| 12 | 13 | 11 | 10 | 15 | 9 | 1 | 10 | 9 | 15 |
| 8 | 13 | 11 | 9 | 16 | 12 | 19 | 20 | 18 | 9 |
- a. Compute the upper and lower 3σ limits for a p chart.
- b. At which sample is the process first detected to be out of control?
- c. Suppose that the special cause that resulted in the out-of-control condition is determined. Should this cause be remedied? Explain.
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The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
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Table 1: Bearing Diameter Data
Sample Number
I
R
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1
34.5
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34.2
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6
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18
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32.6
4
19
34.0
8
8
33.8
3
20
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9
34.8
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21
33.7
2
10
33.6
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22
32.8
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31.9
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23
33.5
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34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
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duced by this process. Assume that diameter is normally distributed. [10 pts]
1
Chapter 10 Solutions
Statistics for Engineers and Scientists
Ch. 10.1 - Indicate whether each of the following quality...Ch. 10.1 - True or false: a. Control charts are used to...Ch. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - True or false: a. When a process is in a stale of...Ch. 10.1 - Prob. 6ECh. 10.2 - The quality-control plan for a certain production...Ch. 10.2 - The following X chart depicts the last 50 samples...Ch. 10.2 - The thickness, in mm, of metal washers is measured...Ch. 10.2 - Repeat Exercise 3, using the S chart in place of...
Ch. 10.2 - A process has mean 12 and standard deviation 3....Ch. 10.2 - A process has mean 8 and standard deviation 2. The...Ch. 10.2 - A process is monitored by taking samples at...Ch. 10.2 - Prob. 8ECh. 10.2 - Repeat Exercise 8, using the S chart in place of...Ch. 10.2 - Prob. 10ECh. 10.2 - Repeat Exercise 10, using the S chart in place of...Ch. 10.2 - Copper wires are coated with a thin plastic...Ch. 10.2 - Repeat Exercise 12, using the S chart in place of...Ch. 10.3 - Prob. 1ECh. 10.3 - The target fill weight for a box of cereal is 350...Ch. 10.3 - Prob. 3ECh. 10.3 - Refer to Exercise 3. In the last 50 samples, there...Ch. 10.3 - A newly designed quality-control program for a...Ch. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Each hour, a 10 m2 section of fabric is inspected...Ch. 10.4 - Refer to Exercise 3 in Section 10.2. a. Delete any...Ch. 10.4 - Refer to Exercise 8 in Section 10.2. a. Delete any...Ch. 10.4 - Prob. 3ECh. 10.4 - Refer to Exercise 12 in Section 10.2.ss a. Delete...Ch. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.5 - The thickness specification for aluminum sheets is...Ch. 10.5 - The specification for the diameters of ball...Ch. 10.5 - Refer to Exercise 2. a. To what value should the...Ch. 10.5 - Refer to Exercise 1. a. To what value should the...Ch. 10.5 - A process has a process capability index of Cp =...Ch. 10 - Prob. 1SECh. 10 - Prob. 2SECh. 10 - Prob. 3SECh. 10 - Prob. 4SECh. 10 - Prob. 5SECh. 10 - Prob. 6SECh. 10 - To set up a p chart to monitor a process that...
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