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 16.3, Problem 19E
The accompanying table gives sample means and standard deviations, each based on n = 6 observations of the refractive index of fiber-optic cable. Construct a control chart, and comment on its appearance. [Hint:
| Day |
|
s |
| 1 | 95.47 | 1.3 |
| 2 | 97.38 | 0.88 |
| 3 | 96.85 | 1.43 |
| 4 | 96.64 | 1.59 |
| 5 | 96.87 | 1.52 |
| 6 | 96.52 | 1.27 |
| 7 | 96.08 | 1.16 |
| 8 | 96.48 | 0.79 |
| 9 | 96.63 | 1.48 |
| 10 | 96.5 | 0.8 |
| 11 | 97.22 | 1.42 |
| 12 | 96.55 | 1.65 |
| 13 | 97.02 | 1.28 |
| 14 | 95.55 | 1.14 |
| 15 | 96.29 | 1.37 |
| 16 | 96.8 | 1.4 |
| 17 | 96.01 | 1.58 |
| 18 | 95.39 | 0.98 |
| 19 | 96.58 | 1.21 |
| 20 | 96.43 | 0.75 |
| 21 | 97.06 | 1.34 |
| 22 | 98.34 | 1.6 |
| 23 | 96.42 | 1.22 |
| 24 | 95.99 | 1.18 |
12. Refer to Exercise 11. An assignable cause was found for the unusually high sample average refractive index on day 22. Recompute control limits after deleting the data from this day. What do you conclude?
19. Calculate control limits for an S chart from the refractive index data of Exercise 11. Does the process appear to be in control with respect to variability? Why or why not?
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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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