Introduction to Statistical Quality Control
7th Edition
ISBN: 9781118146811
Author: Montgomery, Douglas C.
Publisher: John Wiley & Sons Inc
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Chapter 4, Problem 22E
Two processes are used to produce forgings used in an aircraft wing assembly. Of 200 forgings selected from process 1, 10 do not conform to the strength specifications, whereas of 300 forgings selected from process 2, 20 are nonconforming.
- (a) Estimate the fraction nonconforming for each process.
- (b) Test the hypothesis that the two processes have identical fractions nonconforming. Use
- (c) Construct a 90% confidence interval on the difference in fraction nonconforming between the two processes.
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The bottled beverage industry will use robots to fill drinks in bottles containing 1000 ml. There are 2 robot companies (A and B) that offer the industry. Beverage industry managers want the number of drinks that are filled into bottles not to be spilled. Robots are selected that produce the least spillage. To select the robot to be used, experiments were carried out on both robots and observed the amount of drink that spilled from each bottle. If µ1 = the average spill from robot A, µ2 = the average from robot B, then the hypothesis that can be tested from the data:)
Ho: µ1- µ2 < 0 dan Ha: µ1- µ2 >= 0
Lainnya (other)
Ho: µ1- µ2 <= 0 dan Ha: µ1- µ2 > 0
Ho: µ1- µ2 = 0 dan Ha: µ1- µ2 not equal to 0
The bottled beverage industry will use robots to fill drinks in bottles containing 1000 ml. There are 2 robot companies (A and B) that offer the industry. Beverage industry managers want the number of drinks that are filled into bottles not to be spilled. Robots are selected that produce the least spillage. To select the robot to be used, experiments were carried out on both robots and observed the amount of drink that spilled from each bottle. If µ1 = the average spill from robot A, µ2 = the average from robot B, then the hypothesis that can be tested from the data:)
Ho: µ1- µ2 < 0 dan Ha: µ1- µ2 >= 0
(other)
Ho: µ1- µ2 <= 0 dan Ha: µ1- µ2 > 0
Ho: µ1- µ2 = 0 dan Ha: µ1- µ2 not equal to 0
Two processes are used to produce forgings used in an aircraft wing assembly. Of
200 forgings selected from process 1, 10 do not conform to the strength
specifications, whereas of 300 forgings selected from process 2, 15 are
nonconforming.
(a) What is the fraction nonconforming for each process?
(b) Test the hypothesis that the two processes have identical fractions
nonconforming. Use a = 0.05.
Chapter 4 Solutions
Introduction to Statistical Quality Control
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