Question: second picture is the Table 10.3 to be used for the question Process time at a workstation is monitored using sample mean and range control

second picture is the Table 10.3 to be used forsecond picture is the Table 10.3 to be used for second picture is the Table 10.3 to be used for the question

Process time at a workstation is monitored using sample mean and range control charts. Six samples of n = 10 observations have been obtained and the sample means and ranges computed (in minutes): Sample 1 2 3 4 5 6 Mean 3.06 3.22 3.27 3.14 3.03 3.19 Range .47 .46 .54 .51 .45 .47 a. Using the factors in Table 10-3, determine the upper and lower limits for sample mean and range control charts. (Round the intermediate calculations to 2 decimal places. Round the final mean answers to 2 decimal places. Round the final range answers to 3 decimal places.) UCL LCL Mean Range b. Is the process in control? O Yes O No Table 10-3 Factors for Three Sigma control limits for 2- and R-charts. Factor for X Charts, Number of Observations in Sample, n 2. Factors for R-Charts Lower Upper Control Limit Control Limit, D DA 0 3.27 A2 1.88 3. 1.02 2.57 2.28 0.73 5 0.58 2.11 6. 0.48 o 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86 0.34 0.18 1.82 10.... 0.31 0.22 1.78 11 0.29 0.26 1.74 12. 0.27 0.28 1.72 13. 0.25 1.69 0.31 0.33 14.. 0.24 1.67 15... 0.22 0.35 1.65 16.... 0.21 0.36 1.64 17 0.20 0.38 1.62 18. 0.19 0.39 1.61 19. 0.19 0.40 1.60 20. 0.18 0.41 1.59 Source: Adapted from Eugene Grant and Richard Leavenworth, Statistical Quality Control, 4th ed. (New York: McGraw-Hill , 1972), p. 645

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