H and I are most important to awnser!! 20. A teller at a drive-up window at a bank had the following service times (in minutes) for 20 randomselected customers.SAMPLE12344.54.64.54.74.24.54.64.64.24.44.44.84.34.74.44.54.34.34.64.9a. 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 providee. 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(sg. Construct control charts for means and ranges using Table 10.3. Are any samples beyond thecontrol limits? If so, which one(s)?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 wouldthree-sigma control limits be for a mean chart? Are any sample means beyond the controllimits? If so, which one(s)?

20. A teller at a drive-up window at a bank had the following service times (in minutes) for 20 randon selected customers. SAMPLE 1 2 3 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 provid 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(: 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. 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)?

20. A teller at a drive-up window at a bank had the following service times (in minutes) for 20 randon selected customers. SAMPLE 1 2 3 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 provid 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(: 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. 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)?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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The IRS is concerned with improving the accuracy of tax information given by its representatives over the telephone. Previous studies involved asking a set of 25 questions of a large number of IRS telephone representatives to determine the proportion of correct responses. Historically, the averageproportion of correct responses has been 72 percent. Recently, IRS representatives have been receiving more training. On April 26, the set of 25 tax questions were again asked of 20 randomly selected IRS telephone representatives. The numbers of correct answers were 18, 16, 19, 21, 20, 16,21, 16, 17, 10, 25, 18, 25, 16, 20, 15, 23, 19, 21, and 19. a. What are the upper and lower control limits for the appropriate p-chart for the IRS? Use z = 3. b. Is the tax information process in statistical control?
6. A critical dimension of the service quality of a deposit collection booth is the waiting time of atransaction to get money from the employee. Periodically, random samples of four customer aremeasured for waiting time. The results of the last five samples are in the following table:Sample Time (sec) from Four Customers1 525 510 495 5142 512 520 508 5243 505 458 504 5054 450 495 521 5125 498 510 480 521Required:i. Assuming that the management is willing to use three-sigma control limits and using onlyhistorical information of the standard deviation of the process distribution is 6.85 thatcontained in the five samples, show that the ATM Booth waiting time is in statistical control.ii. Suppose that the standard deviation of the process distribution is 6.85. If the specification forthe waiting time are 510±35sec., is the process capable? Why or why not? Assume Threesigma performance is desired by the management.
Sample size (n) is 16, mean of the sample means ( ) is 15, mean of the sample ranges ( ) is 6, and population standard deviation ( ) is not known. Calculate the UCL and LCL of the mean chart (x-Chart) for this process. Group of answer choices Cannot be calculated UCL=33.0, LCL=-3.0 UCL=13.73, LCL=16.27 UCL=16.27, LCL=13.73 UCL=33.0, LCL=0
The temperature of a burrito served to a customer in a local Mexican restaurant A: Discrete B; Continous
I need help with this practice problem for review
A process screens a certain type of potash granule, resulting in a mean diameter of 0.067 cm and a standard deviation of 0.004 cm. The allowable variation in granule diameter is from 0.048cm to 0.087cm. Is the process capable? a. Cannnot be determined because sample size is not available b. Cannot be determined because USL and LSL information is not available c. Process is NOT capable d. Process is capable
Bill Kime's bowling ball factory makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.39 pounds. Each day for 24 days, the average weight, in pounds, of 9 of the bowling balls produced that day has been assessed as follows Day 1 2 3 4 5 6 Average (lb) 9.9 9.9 10.1 10.1 99 99 Day 7 8 9 10 11 12 Average (lb) Day Average (b) 13 14 15 16 17 18 10.1 10.0 10.0 10.1 10.1 10.0 9.9 10.1 10.1 10.0 10.1 10.1 Day 19 20 21 22 23 24 Average (lb) 99 10.0 10.1 9.9 10.0 10.0 a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean What are the values of the control limits? Upper Control Limit (UCL)=b (Round your response to two decimal places)
A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results : Machine #1 measurements [17, 12, 21, 12]; Machine #2 measurements [ 14, 22, 16, 13]; Machine #3 measurements [ 13, 19, 14, 23]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits? O a. 23.15and 9.52 O b. 44.33and -11.67 Oc. 25.85and 6.813 O d. 18.85and 13.81
73) please please help me with this question I don't know how to do it A metal fabricator produces connecting rods with an outer dlameter that has a 1 0.05 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.004 inches with a standard deviation of 0.020 inch. Calculate the process capability index for this example. Note: Round your answer to 3 decimal places.
The mean of the sample mean will tend to be worse of an estimate, then a single sample
A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results : Machine #1 measurements [14, 13, 24, 22]; Machine #2 measurements [ 14, 19, 23, 14]; Machine #3 measurements [ 14, 16, 13, 16]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits? a. 24.65and 9.013 b. 22.43and 11.24 c. 18.9and 14.76 d. 39.83and -6.167
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