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Chapter 65 - Quality Control | Sample Mean and Range Charts An electric company produces incandescent light bulbs. The following data on the number of lumens for 40-watt bulbs were collected when the process was in control: 1. What is the mean (X) for each sample? a. Sample 1? [601] b. Sample 2? [602] c. Sample 3? [582] d. Sample 4? [602] e. Sample 5? [604] 2. What is the range (R) for each sample? a. Sample 1? [24] b. Sample 2? [10] c. Sample 3? [22] d. Sample 4? [32] e. Sample S? [24] 3. What is the grand mean (x)?{598.2] 4. What is the average range (R)?[22.4] 5. What are the three sigma control limits for: a. Mean control chart when standard deviation is unknown? [ [ CL=614.552 and LCL= 581.848] b. Range control chart? [UCL =51.072 and LCL=0] 6. Based on the mean control chart and the sample means identified in question #1, is the process in or out of control? [yes, values for 1a-1e all fall within the mean control limit boundaries] 7. Based on the range control chart and the range values identified in question #2, is the process in our out of control? [yes, values for 2a2e all fall within the range control limit boundaries] 8. Since these data were collected, some new employees were hired and a new sample was taken. The observations were 570,603,623, and 583 . What are the mean (X) and range (R) for this sample? [sample mean =594.75; sample range =53 ] 9. Using the same control limits calculated in question #5, is the process still in control? [ [No, the sample mean falls within the mean control chart, but the range of 53 exceeds the range control chart UCL]