Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Textbook Question
Chapter 16.2, Problem 8E
The table below gives data on moisture content for specimens of a certain type of fabric. Determine control limits for a chart with center line at height 13.00 based on σ = .600, construct the control chart, and comment on its appearance.
| Sample No. | Moisture-Content Observations | 
|
s | |||||
| 1 | 12.2 | 12.1 | 13.3 | 13.0 | 13.0 | 12.72 | .536 | 1.2 |
| 2 | 12.4 | 13.3 | 12.8 | 12.6 | 12.9 | 12.80 | .339 | .9 |
| 3 | 12.9 | 12.7 | 14.2 | 12.5 | 12.9 | 13.04 | .669 | 1.7 |
| 4 | 13.2 | 13.0 | 13.0 | 12.6 | 13.9 | 13.14 | .477 | 1.3 |
| 5 | 12.8 | 12.3 | 12.2 | 13.3 | 12.0 | 12.52 | .526 | 1.3 |
| 6 | 13.9 | 13.4 | 13.1 | 12.4 | 13.2 | 13.20 | .543 | 1.5 |
| 7 | 12.2 | 14.4 | 12.4 | 12.4 | 12.5 | 12.78 | .912 | 2.2 |
| 8 | 12.6 | 12.8 | 13.5 | 13.9 | 13.1 | 13.18 | .526 | 1.3 |
| 9 | 14.6 | 13.4 | 12.2 | 13.7 | 12.5 | 13.28 | .963 | 2.4 |
| 10 | 12.8 | 12.3 | 12.6 | 13.2 | 12.8 | 12.74 | .329 | .9 |
| 11 | 12.6 | 13.1 | 12.7 | 13.2 | 12.3 | 12.78 | .370 | .9 |
| 12 | 13.5 | 12.3 | 12.8 | 13.1 | 12.9 | 12.92 | .438 | 1.2 |
| 13 | 13.4 | 13.3 | 12.0 | 12.9 | 13.1 | 12.94 | .559 | 1.4 |
| 14 | 13.5 | 12.4 | 13.0 | 13.6 | 13.4 | 13.18 | .492 | 1.2 |
| 15 | 12.3 | 12.8 | 13.0 | 12.8 | 13.5 | 12.88 | .432 | 1.2 |
| 16 | 12.6 | 13.4 | 12.1 | 13.2 | 13.3 | 12.92 | .554 | 1.3 |
| 17 | 12.1 | 12.7 | 13.4 | 13.0 | 13.9 | 13.02 | .683 | 1.8 |
| 18 | 13.0 | 12.8 | 13.0 | 13.3 | 13.1 | 13.04 | .182 | .5 |
| 19 | 12.4 | 13.2 | 13.0 | 14.0 | 13.1 | 13.14 | .573 | 1.6 |
| 20 | 12.7 | 12.4 | 12.4 | 13.9 | 12.8 | 12.84 | .619 | 1.5 |
| 21 | 12.6 | 12.8 | 12.7 | 13.4 | 13.0 | 12.90 | .316 | .8 |
| 22 | 12.7 | 13.4 | 12.1 | 13.2 | 13.3 | 12.94 | .541 | 1.3 |
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Chapter 16 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 16.1 - A control chart for thickness of rolled-steel...Ch. 16.1 - Refer to Exercise 1 and suppose the ten most...Ch. 16.1 - Suppose a control chart is constructed so that the...Ch. 16.1 - A cork intended for use in a wine bottle is...Ch. 16.1 - If a process variable is normally distributed, in...Ch. 16.2 - In the case of known and , what control limits...Ch. 16.2 - Consider a 3-sigma control chart with a center...Ch. 16.2 - The table below gives data on moisture content for...Ch. 16.2 - Refer to the data given in Exercise 8, and...Ch. 16.2 - When installing a bath faucet, it is important to...
Ch. 16.2 - The accompanying table gives sample means and...Ch. 16.2 - The accompanying table gives sample means and...Ch. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.3 - A manufacturer of dustless chalk instituted a...Ch. 16.3 - Subgroups of power supply units are selected once...Ch. 16.3 - Prob. 18ECh. 16.3 - The accompanying table gives sample means and...Ch. 16.3 - Prob. 20ECh. 16.4 - On each of the previous 25 days, 100 electronic...Ch. 16.4 - A sample of 200 ROM computer chips was selected on...Ch. 16.4 - Prob. 23ECh. 16.4 - Prob. 24ECh. 16.4 - Prob. 25ECh. 16.4 - Prob. 26ECh. 16.4 - Prob. 27ECh. 16.4 - Prob. 28ECh. 16.5 - Prob. 29ECh. 16.5 - Prob. 30ECh. 16.5 - The standard deviation of a certain dimension on...Ch. 16.5 - Prob. 32ECh. 16.6 - Consider the single-sample plan with c = 2 and n =...Ch. 16.6 - A sample of 50 items is to be selected from a...Ch. 16.6 - Prob. 35ECh. 16.6 - Develop a single-sample plan for which AQL = .02...Ch. 16.6 - Consider the double-sampling plan for which both...Ch. 16.6 - Prob. 38ECh. 16.6 - Refer to Example 16.11, in which a single-sample...Ch. 16.6 - Consider the single-sample plan that utilizes n =...Ch. 16 - Observations on shear strength for 26 subgroups of...Ch. 16 - The number of scratches on the surface of each of...Ch. 16 - The following numbers are observations on tensile...Ch. 16 - Prob. 44SECh. 16 - Prob. 46SE
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