Homework Help is Here – Start Your Trial Now!
Math
Statistics
process manufactures items with a mean weight of 10 ounces. (a) The process standard deviation is 0.3, and the process control is set at plus or minus 1.3 standard deviations. Units with weights less than 9.61 or greater than 10.39 ounces will be classified as defects. Calculate the probability of a defect. (Round your answer to four decimal places.). 1936 Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.) 194 ✓defects (b) Through process design improvements, the process standard deviation can be reduced to 0.15. Assume the process control remains the same, with weights less than 9.61 or greater than 10.39 ounces being classified as defects. Calculate the probability of a defect. (Round your answer to four decimal places.) 0085 x Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.) 317 x defects (c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean? O Reducing the process standard deviation causes no change in the number of defects.

process manufactures items with a mean weight of 10 ounces. (a) The process standard deviation is 0.3, and the process control is set at plus or minus 1.3 standard deviations. Units with weights less than 9.61 or greater than 10.39 ounces will be classified as defects. Calculate the probability of a defect. (Round your answer to four decimal places.). 1936 Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.) 194 ✓defects (b) Through process design improvements, the process standard deviation can be reduced to 0.15. Assume the process control remains the same, with weights less than 9.61 or greater than 10.39 ounces being classified as defects. Calculate the probability of a defect. (Round your answer to four decimal places.) 0085 x Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.) 317 x defects (c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean? O Reducing the process standard deviation causes no change in the number of defects.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
You may need to use the appropriate technology to answer this question. Suppose that a cell phone manufacturer uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations. (a) The process standard deviation is 0.3, and the process control is set at plus or minus 1.3 standard deviations. Units with weights less than 9.61 or greater than 10.39 ounces will be classified as defects. Calculate the probability of a defect. (Round your answer to four decimal places.) .1936 Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.) 194 ✓ defects (b) Through process design improvements, the process standard deviation can be reduced to 0.15. Assume the process control remains the same, with weights less than 9.61 or greater than 10.39 ounces being classified as defects. Calculate the probability of a defect. (Round your answer to four decimal places.) 0085 x Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.) 317 X defects (c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean? O Reducing the process standard deviation causes no change in the number of defects. Reducing the process standard deviation causes a substantial reduction in the number of defects. O Reducing the process standard deviation causes a substantial increase in the number of defects.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Suppose that a cell phone manufacturer uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations. (a) The process standard deviation is 0.3, and the process control is set at plus or minus 1.3 standard deviations. Units with weights less than 9.61 or greater than 10.39 ounces will be classified as defects. Calculate the probability of a defect. (Round your answer to four decimal places.) .1936 Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.) 194 ✓ defects (b) Through process design improvements, the process standard deviation can be reduced to 0.15. Assume the process control remains the same, with weights less than 9.61 or greater than 10.39 ounces being classified as defects. Calculate the probability of a defect. (Round your answer to four decimal places.) 0085 x Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.) 317 X defects (c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean? O Reducing the process standard deviation causes no change in the number of defects. Reducing the process standard deviation causes a substantial reduction in the number of defects. O Reducing the process standard deviation causes a substantial increase in the number of defects.
Expert Solution
steps

Step by step

Solved in 5 steps with 17 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS