'1. Problem 1 is worth 40 points A machine at the General Electric plant in Kokomo Indiana fills boxes with light bulbs. The label weight of the boxes is 2 ounces. The quality-control department for the company sampled five boxes once a day for six consecutive days. You might or might not need to use all the blank columns and blank rows below. The sample observations are as follows: four decimal places in all Calculations Sample Box Box Weights Weights 4.05 7.27 3.21 3.5 4.12 6.11 3.96 4.81 7.05 3.03 2.87 3.65 Box Weights 2.35 3.66 2.37 5.15 4.17 2.98 Box Weights 3.56 4.45 6.20 6.01 4.18 3.74 Box Weights 2.05 4.78 3.65 3.15 3.34 4.63 1. You must calculate the upper control limits and lower control limits and centerline of an X-chart. Do not draw the chart. Go to four decimal places in all calculations. Show all data la.) R of sample 1 = 5pts answer (go to four decimal places) (5 pts) place answer on this line, show your work on next page. 5 pts answer 1b.) X bar of sample 2 = (go to four decimal places), place answer on this line, show your work on next page. 10 pts answer 1c.) UCLof X-Chart (go to four decimal places), place answer on this line, show your work on next page. 10 pts answer 1d.) LCL of X-chart = (go to four places) answer, place answer on this line, show your work on next page 10 pts answer le.) Centerline of X-chart= (go to four decimal places), place answer on this line, show your work on next page Do not draw chart