Samples of n = 5 units are taken from a process every hour. The x and R values for a particular quality characteristic are determined. After 25 samples have been collected, we calculate = 30 and R = 4.56. (a) What are the three-sigma control limits for x and R control charts? (b) Both charts exhibit control. Estimate the process standard deviation. (c) Assume that the process output is normally distributed. If the specifications are 19± 5, what are your conclusions regarding the process capability?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Samples of n = 5 units are taken from a process every hour. The x and R values for a
particular quality characteristic are determined. After 25 samples have been collected, we
calculate = 30 and R = 4.56.
(a) What are the three-sigma control limits for x and R control charts?
(b) Both charts exhibit control. Estimate the process standard deviation.
(c) Assume that the process output is normally distributed. If the specifications are 19±
5, what are your conclusions regarding the process capability?
Transcribed Image Text:Samples of n = 5 units are taken from a process every hour. The x and R values for a particular quality characteristic are determined. After 25 samples have been collected, we calculate = 30 and R = 4.56. (a) What are the three-sigma control limits for x and R control charts? (b) Both charts exhibit control. Estimate the process standard deviation. (c) Assume that the process output is normally distributed. If the specifications are 19± 5, what are your conclusions regarding the process capability?
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