35. Production Defects. Motorola used the normal distribution to determine the probab- ility of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces. Calculate the probability of a defect and the expected number of defects for a 1,000-unit production run in the following situations. a. The process standard deviation is .15, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects. b. Through process design improvements, the process standard deviation can be re- duced to .05. Assume the process control remains the same, with weights less than 9.85 or greater than 10.15 ounces being classified as defects. c. What is the advantage of reducing process variation, thereby causing process con- trol limits to be at a greater number of standard deviations from the mean?

35. Production Defects. Motorola used the normal distribution to determine the probab- ility of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces. Calculate the probability of a defect and the expected number of defects for a 1,000-unit production run in the following situations. a. The process standard deviation is .15, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects. b. Through process design improvements, the process standard deviation can be re- duced to .05. Assume the process control remains the same, with weights less than 9.85 or greater than 10.15 ounces being classified as defects. c. What is the advantage of reducing process variation, thereby causing process con- trol limits to be at a greater number of standard deviations from the mean?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

35. Production Defects. Motorola used the normal distribution to determine the probab-
ility of defects and the number of defects expected in a production process. Assume
a production process produces items with a mean weight of 10 ounces. Calculate the
probability of a defect and the expected number of defects for a 1,000-unit production
run in the following situations.
a. The
process standard deviation is .15, and the process control is set at plus or minus
one standard deviation. Units with weights less than 9.85 or greater than 10.15
ounces will be classified as defects.
b. Through process design improvements, the process standard deviation can be re-
duced to .05. Assume the process control remains the same, with weights less than
9.85 or greater than 10.15 ounces being classified as defects.
c. What is the advantage of reducing process variation, thereby causing process con-
trol limits to be at a greater number of standard deviations from the mean?

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