7. Construct the appropriate control chart for the observations listed below, using 3 sigma limits. Product number Number of defects a. (15 points) Determine the upper and lower control limits. b. (10 points) Plot the control limits and the observations on the chart provided. Proper scaling, labeling and 234 S 678 | 9 10 11 76 3 5| 6 | 5 4 I 3 2 3 neatness counts. c. (5 pts) Discuss the chart you have plotted. What conclusions and recommendations do you make from the chart and the data? 8. A textbook publisher wants to determine process control charts for the textbook height. The following table shows the first 20 samples of n-4 sample size of the production of the text. Sample X bar Range 6. 8. 10 10.01 9.99 9.98 10.01 10.00 10.01 10.04 9.97 9.99 9.98 .05 .01 .01 .03 .01 .04 .02 .04 .05 .03 Sample X bar Range 11 12 13 14 15 16 17 18 19 20 sum 10.02 10.01 10.00 9.95 10.01 9.96 10.04 10.02 10.00 10.01 .03 .04 .06 .02 .01 .04 .03 .04 .03 .05 a. (15 points) What are the upper and lower control limits for the X bar chart using the data from the samples above? b. (15 points) What are the upper and lower control limits for the R chart using the data from the samples above? c. (10 points) Plot the control limits and the observations on the charts attached. Proper scaling, labeling and neatness counts. d. (5 points) Discuss the charts you have plotted. What conclusions and recommendations do you make from those charts and the data? Exam 1 Problem 7 control ehart Problem 8 -R chart Use this for the R chart