Statistics for Engineers and Scientists
Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Chapter 10.2, Problem 7E

A process is monitored by taking samples at regular intervals and is declared to be out of control if a point plots outside the 3σ control limits on an X ¯ chart. Assume the process is in control.

  1. a. What is the probability that a false alarm will occur within the next 50 samples?
  2. b. What is the probability that a false alarm will occur within the next 100 samples?
  3. c. What is the probability that there will be no false alarm within the next 200 samples?
  4. d. Fill in the blank: The probability is 0.5 that there will be a false alarm within the next __________ samples.
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Chapter 10 Solutions

Statistics for Engineers and Scientists

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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