Samples of size n-5 are taken from a manufacturing process every hour. A particular quality characteristic, which is normally distributed, is measured, and X-bar and R are calculated for each sample. After 25 samples, we have the following sums: E of X-bar values = 662.5 E of R values = 9.00 a) Find the Control Limits of the X-bar and R charts. b) Assume both charts exhibit "in control" behavior. If the process specifications are 26.40 plus or minus 0.30, estimate the fraction non-conforming. c) If the mean of the process were adjusted to exactly 26.40, what would be the new fraction non-conforming?
Samples of size n-5 are taken from a manufacturing process every hour. A particular quality characteristic, which is normally distributed, is measured, and X-bar and R are calculated for each sample. After 25 samples, we have the following sums: E of X-bar values = 662.5 E of R values = 9.00 a) Find the Control Limits of the X-bar and R charts. b) Assume both charts exhibit "in control" behavior. If the process specifications are 26.40 plus or minus 0.30, estimate the fraction non-conforming. c) If the mean of the process were adjusted to exactly 26.40, what would be the new fraction non-conforming?
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter14: Computational Engineering Tools Electronic Spreadsheets
Section: Chapter Questions
Problem 20P
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Samples of sizen=5 are taken from a manufacturing process every hour. A particular quality characteristic, which is normally distributed, is measured, and X-ba and R calculated for each sample. After 25 samples, we have the following sums:
the sum of X-bar values =662.5
the sum of R values=9.0
a) Find the control limits of the X-bar and R-charts.
b) Assume both Charts exhibit "in control " behavior. If process specifications are 26.40 plus or minus 0.30, estimate the fraction nonconforming.
c)If the mean of the process were adjusted to exactly 26.40, what would be the new fraction non-conforming?
Transcribed Image Text:Samples of size n-5 are taken from a manufacturing process every hour. A particular quality
characteristic, which is normally distributed, is measured, and X-bar and R are calculated for
each sample. After 25 samples, we have the following sums:
E of X-bar values = 662.5
E of R values = 9.00
a) Find the Control Limits of the X-bar and R charts.
b) Assume both charts exhibit "in control" behavior. If the process specifications are 26.40 plus
or minus 0.30, estimate the fraction non-conforming.
c) If the mean of the process were adjusted to exactly 26.40, what would be the new fraction
non-conforming?
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