In statistical process control, the hourly samples are taken. The sample means are: 156.46, 199.62, 189.31, 102.22, and 112.09 respectively. Also, the ranges of these samples are 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. If the upper control limit of R chart is 28.17, what is the sample size of each sample? O a. 5 O b. 6 O c. 7 O d. 4 е. None is correct

In statistical process control, the hourly samples are taken. The sample means are: 156.46, 199.62, 189.31, 102.22, and 112.09 respectively. Also, the ranges of these samples are 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. If the upper control limit of R chart is 28.17, what is the sample size of each sample? O a. 5 O b. 6 O c. 7 O d. 4 е. None is correct

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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In statistical process control, the hourly samples are taken. The sample means are: 156.46, 199.62, 189.31, 102.22, and 112.09 respectively. Also, the ranges of these samples are 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. If the upper control limit of X-bar chart is 160.96, what is the sample size of each sample? on O a. 7 of O b. 6 Oc. None is correct O d. 5 O e. 4 IOUS PAGE NEXT PAGE Fi Type here to search Prisc F10 FS F7 %23 & 3 E R IT Y U G H. K C V B AL 1f Alt 立

In statistical process controlthe hourly samples are taken . The sample means are : 156,46 189.31, 102.22 and 112.09 respectively . Also, the ranges of these samples are 11.97, 11.86, and 11.83 respectively . If the upper controllimit of R chart 28.17 what the sample size of each sample?
Administering new bank accounts is intended to average 15 minutes each. Five samples of four observations each have been taken. Use the sample data in concurrence with Table 2.3 to create upper and lower control limits for both a mean chart and a range chart. Do results propose that the procedure is in control? Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 11.2 11.3 10.7 10.9 10.8 10.9 10.8 10.9 11.3 11.2 10.8 10.9 10.9 11.1 11.3 11.1 11.4 11.1 11.5 10.7 Total: 44 44.4 43.6 44.8 44
When is the desired mean, J.L, used in establishing the centerlineof a control chart instead of X?
Webster Chemical Company produces mastics and caulking for the construction industry. The product is blended in large mixers and then pumped into tubes and capped. Management is concerned about whether the filling process for tubes of caulking is in statistical control. The process should be centered on 8 ounces per tube. Several samples of eight tubes were taken, each tube was weighed, and the weights in Table were obtained. Ounces of Caulking Per Tube Tube Number Sample 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7.98 8.33 7.89 8.24 7.87 8.13 8.34 8.22 7.77 8.18 8.13 8.14 8.02 8.08 7.91 7.83 7.92 8.11 7.94 8.51 8.04 8.05 7.99 8.13 8.44 8.41 8.00 7.90 8.10 8.14 7.68 8.28 7.89 8.16 7.81 8.12 7.81 8.09 7.93 7.97 8.14 8.13 8.11 8.16 8.09 8.07 7.88 8.14 a. Assume that only six samples are sufficient and develop the control charts for the mean and the range.b. Plot the observations on the control chart and comment on your findings.
Q4) Ten samples of size four were taken from a process, and their weights measured. The sample averages and sample ranges are in the following table. Construct and plot an x-bar and R-chart using these data. Is the process in control? Sample Mean Range 1 20.01 0.45 2 19.98 0.67 3 20.25 0.30 4 19.90 0.30 5 20.35 0.36 6 19.23 0.49 7 20.01 0.53 8 19.98 0.40 9 20.56 0.95 10 19.97 0.79
control charts for means and rangers. processing times for new accounts at bank are shown in the following table. five samples of four observations each have been taken. use the sample data in conjunction with table 10.3 to construct upper and lower control limits for both mean chart and range chart. do the result suggest that the process is in control? sample 1 sample 2 sample 3 sample 4 sample 5 10.2 10.3 9.7 9.9 9.8 9.9 98 9.9 10.3 10.2 9.8 9.9 9.9 10.1 10.3 10.1 10.4 10.1 10.5 9.7 40.0 40.4 39.6 40.8 40.0
x and R Control Charts A cereal manufacturer fills cereal boxes to an averageweight of 20 ounces and has an average range of 2 ounces when the filling process is in control. A sample size of 10 boxes is used in evaluating the process.a. What are the CL, UCL, and LCL for the x and R charts?b. A sample with the following 10 measurements was just taken: 20, 21, 19, 18, 19, 21,22, 20, 20, 19. Is the process still in control?
A can filling process at a beverage manufacturing factory is assumed to be in control with limits of 89 plus/minus 4 had sample averages for the x-bar chart of the following : 87.1, 87, 87.2, 89, 90, 88.5, 89.5 and 88. Which of the following statement below are correct? a. None is correct b. Not enough information to determine c. Process mean is out -of-control d . Process mean is NOT out-of-control
Briefly explain the purpose of each of these control charts:b. Range
What is it important to prove that a process is proven capable before developing statistical control limit ?
Checkout time at a supermarket is monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed: Sample Mean Range Sample Mean Range 1 3.06 .42 4 3.13 .46 2 3.15 .50 5 3.06 .46 3 3.11 .41 6 3.09 .45 a. Using the factors in Table 10.3 , determine upper and lower limits for mean and range charts. b. Is the process in control?