Refer to the table Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Your supervisor, Lisa Lehmann, has asked that you report on the output of a machine on the factory floor. This machine is supposed to be producing optical lenses with a mean weight of 50 grams and a range of 3.5 grams. The following table contains the data for a sample size of n=6 taken during the past 3 hours: Sample 1 2 3 4 5 6 7 8 9 10 x 55 47 49 50 52 57 55 48 51 56 R 3 1 5 3 2 6 3 2 2 3 Set the control limits for this process for the x-chart when the machine is working properly. UCLx=51.6951.69 grams (round your response to two decimal places). LCLx=48.3148.31 grams (round your response to two decimal places). Choose the correct graph of the sample data for the x-chart. A. 0 4 8 12 45.00 50.00 55.00 60.00 Sample Adjustable weight in grams A coordinate system, with the horizontal axis, labeled Sample, ranges from 0 to 12 and has ticks for every 4 units. The vertical axis, labeled Adjustable weight in grams, ranges from 45.00 to 60.00 with ticks in increments of 5. The graph contains two dashed horizontal lines and 10 points. The first dashed line parallel to the horizontal axis and passes through the point (0,52.22). The second dashed line parallel to the horizontal axis and passes through the point (0,47.7).The points are plotted at (1,51.40), (2,47.94), (3,49.49), (4,50.5), (5,52), (6,51.82), (7,50), (8,48.48), (9,51), and (10,50.91). B. 0 4 8 12 45.00 50.00 55.00 60.00 Sample Adjustable weight in grams A coordinate system, with the horizontal axis, labeled Sample, ranges from 0 to 12 and has ticks for every 4 units. The vertical axis, labeled Adjustable weight in grams, ranges from 45.00 to 60.00 with ticks in increments of 5. The graph contains two dashed horizontal lines and 10 points. The first dashed line parallel to the horizontal axis and passes through the point (0,51.69). The second dashed line parallel to the horizontal axis and passes through the point (0,48.31).The points are plotted at (1,55), (2,47), (3,49), (4,50), (5,52), (6,57), (7,55), (8,48), (9,51), and (10,56). C. 0 4 8 12 45.00 50.00 55.00 60.00 Sample Adjustable weight in grams A coordinate system, with the horizontal axis, labeled Sample, ranges from 0 to 12 and has ticks for every 4 units. The vertical axis, labeled Adjustable weight in grams, ranges from 45.00 to 60.00 with ticks in increments of 5. The graph contains two dashed horizontal lines and 10 points. The first dashed line parallel to the horizontal axis and passes through the point (0,59). The second dashed line parallel to the horizontal axis and passes through the point (0,46.5).The points are plotted at (10,55), (9,47), (8,49), (7,50), (6,52), (5,57), (4,55), (3,48), (2,51), and (1,56). Set control limits for this process for the R-chart. UCLR=nothing grams (round your response to two decimal places). LCLR=nothing grams (round your response to two decimal places). Choose the correct graph of the sample data for the R-chart. A. 0 4 8 12 0.00 2.00 4.00 6.00 8.00 Sample Adjustable weight in grams A coordinate system, with the horizontal axis, labeled Sample, ranges from 0 to 12 and has ticks for every 4 units. The vertical axis, labeled Adjustable weight in grams, ranges from 0.00 to 8.00 with ticks in increments of 2. The graph contains two dashed horizontal lines and 10 points. The first dashed line parallel to the horizontal axis and passes through the point (0,6.55). The second dashed line parallel to the horizontal axis and passes through the point (0,0.8). The points are plotted at (8,5), (7,3), (6,2), (5,6), (4,3), (3,2), (2,2), (1,3), (10,3), and (9,1). B. 0 4 8 12 0.00 2.00 4.00 6.00 8.00 Sample Adjustable weight in grams A coordinate system, with the horizontal axis, labeled Sample, ranges from 0 to 12 and has ticks for every 4 units. The vertical axis, labeled Adjustable weight in grams, ranges from 0.00 to 8.00 with ticks in increments of 2. The graph contains one dashed horizontal line and 10 points. The dashed line parallel to the horizontal axis and passes through the point (0,5.38). The points are plotted at (3,4.17), (4,3.6), (5,2.4), (6,4), (7,3.6), (8,3), (9,3), (10,3.6), (1,3.6), and (2,2). C. 0 4 8 12 0.00 2.00 4.00 6.00 8.00 Sample Adjustable weight in grams A coordinate system, with the horizontal axis, labeled Sample, ranges from 0 to 12 and has ticks for every 4 units. The vertical axis, labeled Adjustable weight in grams, ranges from 0.00 to 8.00 with ticks in increments of 2. The graph contains one dashed horizontal line and 10 points. The dashed line parallel to the horizontal axis and passes through the point (0,7.014). The points are plotted at (3,5), (4,3), (5,2), (6,6), (7,3), (8,2), (9,2), (10,3), (1,3), and (2,1). Has the process been in control? No Yes Click to select your answer(s). Show Work

R-CHART

Sample 1 2 3 4 5 6 7 8 9 55 47 49 50 52 57 55 48 51 10 56 3 R 3 1 5 3 2 6 3 2 2 Set the control limits for this process for the x-chart when the machine is working properly. UCL = 51.69 grams (round your response to two decimal places). LCL = 48.31 grams (round your response to two decimal places). Choose the correct graph of the sample data for the X-chart. O A. OB. C. 60.00- 60.00 60.00 a 55.00 55.00 . 55.00 50.00 50.00 50.00 45.00 45.00 45.00 12 12 8 Sample 8 Sample Sample Set control limits for this process for the R-chart. UCLR = grams (round your response to two decimal places). LCLR=grams (round your response to two decimal places). Choose the correct graph of the sample data for the R-chart. OA. B. C. 8.00 8.00 8.00- S 6.00- .5 6.00 - 6.00- 4.00- 4.00 4.00- 2.00- . 2.00- 2.00- 0.00 0.00+ 0.00 12 12 Sample 8 Sample 4 Sample Has the process been in control