### Compute upper and lower limits for mean and range charts

Assignment Help Operation Management
##### Reference no: EM13107945

Checkout time at a supermarket is monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed:

 Sample Mean Range Sample Mean Range 1 3.06 .42 4 3.13 .46 2 3.15 .37 5 3.06 .46 3 3.11 .41 6 3.09 .45
 Factors for three-sigma control limits for X and R charts
 FACTORS FOR R CHARTS Number of Observations in Subgroup,n Factor forX Chart,A2 LowerControl Limit,D3 UpperControl Limit,D4 2 1.88 0 3.27 3 1.02 0 2.57 4 0.73 0 2.28 5 0.58 0 2.11 6 0.48 0 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86 9 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 0.31 1.69 14 0.24 0.33 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
 a. Using the factors in the above table, determine upper and lower limits for mean and range charts.(Round your intermediate calculations and final answers to 4 decimal places.)

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