20. A teller at a drive-up window at a bank had the following service times (in minutes) for 20 randomly Chapter Ten Quality Control selected customers. SAMPLE 3 4 1 4.6 4.5 4.7 4.5 4.5 4.6 4.6 4.2 4.4 4.4 4.8 4.2 4.3 4.7 4.4 4.5 4.3 4.3 4.6 4.9 a. Determine the mean of each sample. b. If the process parameters are unknown, estimate its mean and standard deviation. c. Estimate the mean and standard deviation of the sampling distribution. d. What would three-sigma control limits for the process be? What alpha risk would they provide? e. What alpha risk would control limits of 4.14 and 4.86 provide? f. Using limits of 4.14 and 4.86, are any sample means beyond the control limits? If so, which one(s)? g. Construct control charts for means and ranges using Table 10.3. Are any samples beyond the control limits? If so, which one(s)? h. Explain why the control limits are different for means in parts d and g. 1. If the process has a known mean of 4.4 and a known standard deviation of .18, what would three-sigma control limits be for a mean chart? Are any sample means beyond the control limits? If so, which one(s)? 21. A process that produces computer chips has a mean of .04 defective chip and a standard devia. of .003 chip. The allowable variation is from .03 to .05 defective.
20. A teller at a drive-up window at a bank had the following service times (in minutes) for 20 randomly Chapter Ten Quality Control selected customers. SAMPLE 3 4 1 4.6 4.5 4.7 4.5 4.5 4.6 4.6 4.2 4.4 4.4 4.8 4.2 4.3 4.7 4.4 4.5 4.3 4.3 4.6 4.9 a. Determine the mean of each sample. b. If the process parameters are unknown, estimate its mean and standard deviation. c. Estimate the mean and standard deviation of the sampling distribution. d. What would three-sigma control limits for the process be? What alpha risk would they provide? e. What alpha risk would control limits of 4.14 and 4.86 provide? f. Using limits of 4.14 and 4.86, are any sample means beyond the control limits? If so, which one(s)? g. Construct control charts for means and ranges using Table 10.3. Are any samples beyond the control limits? If so, which one(s)? h. Explain why the control limits are different for means in parts d and g. 1. If the process has a known mean of 4.4 and a known standard deviation of .18, what would three-sigma control limits be for a mean chart? Are any sample means beyond the control limits? If so, which one(s)? 21. A process that produces computer chips has a mean of .04 defective chip and a standard devia. of .003 chip. The allowable variation is from .03 to .05 defective.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Transcribed Image Text:20. A teller at a drive-up window at a bank had the following service times (in minutes) for 20 randomly
Chapter Ten Quality Control
selected customers.
SAMPLE
1
4.
4.5
4.6
4.5
4.7
4.2
4.5
4.6
4.6
4.2
4.4
4.4
4.8
4.3
4.7
4.4
4.5
4.3
4.3
4.6
4.9
a. Determine the mean of each sample.
b. If the process parameters are unknown, estimate its mean and standard deviation.
c. Estimate the mean and standard deviation of the sampling distribution.
d. What would three-sigma control limits for the process be? What alpha risk would they provide?
e. What alpha risk would control limits of 4.14 and 4.86 provide?
f. Using limits of 4.14 and 4.86, are any sample means beyond the control limits? If so, which one(s)?
g. Construct
control limits? If so, which one(s)?
ontrol charts for means and ranges using Table 10.3. Are any samples beyond the
h. Explain why the control limits are different for means in parts d and
g.
i. If the process has a known mean of 4.4 and a known standard deviation of .18, what would
three-sigma control limits be for a mean chart? Are any sample means beyond the control
limits? If so, which one(s)?
21. A process that produces computer chips has a mean of .04 defective chip and a standard deviati.
of .003 chip. The allowable variation is from .03 to .05 defective.
a. Compute the capability index for the process.
b. Is the process capable?
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