Factors for Determining Control Limits of X-bar- and R- charts. Sample Size n 2 3 4...

 

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Factors for Determining Control Limits of X-bar- and R- charts. Sample Size n 2 3 4 5 6 7 8 00 a 10 for X-chart for R-chart A₂ 1.88 1.02 0.73 0.58 0.48 0.42 0.37 0.34 0.31 D3 0 0 0 0 0 0.08 0.14 0.18 D₁ 3.27 2.57 2.28 2.11 2 1.92 1.86 1.82 0.22 1.78 Required: (a) Compute the upper and lower control limits for the R-chart. Then state whether the process is in control. You need not plot the data. Hint: Make sure you select/identify the correct sample size. Also, compute R-bar first! (8) (b) Compute the UCL/LCL values for x-bar chart. Then, just by observation, state if the process appears to be in control and state why you believe so. (12) Carefully examine the following table which contains weights (in oz) of boxes of raisins. Make sure you identify carefully the correct sample size before you start computations. Sample Number 1 2 1 2 3 st Observations 5 3 4 5.05 5.04 5.02 5.13 5.02 5.21 5.05 5.14 5.10 4.97 5.14 5.00 5.03 4.86 5.22 5.14 4.88 5.03 5.35 4.89 X-bar 5.06 5.11 5.05 5.06 5.04 ==== Factors for Determining Control Limits of X-bar- and R-charts. Range 0.11 0.19 0.17 0.36 0.47 ====== Factors for Determining Control Limits of X-bar- and R- charts. Sample Size n 2 3 4 5 6 7 8 00 a 10 for X-chart for R-chart A₂ 1.88 1.02 0.73 0.58 0.48 0.42 0.37 0.34 0.31 D3 0 0 0 0 0 0.08 0.14 0.18 D₁ 3.27 2.57 2.28 2.11 2 1.92 1.86 1.82 0.22 1.78 Required: (a) Compute the upper and lower control limits for the R-chart. Then state whether the process is in control. You need not plot the data. Hint: Make sure you select/identify the correct sample size. Also, compute R-bar first! (8) (b) Compute the UCL/LCL values for x-bar chart. Then, just by observation, state if the process appears to be in control and state why you believe so. (12) Carefully examine the following table which contains weights (in oz) of boxes of raisins. Make sure you identify carefully the correct sample size before you start computations. Sample Number 1 2 1 2 3 st Observations 5 3 4 5.05 5.04 5.02 5.13 5.02 5.21 5.05 5.14 5.10 4.97 5.14 5.00 5.03 4.86 5.22 5.14 4.88 5.03 5.35 4.89 X-bar 5.06 5.11 5.05 5.06 5.04 ==== Factors for Determining Control Limits of X-bar- and R-charts. Range 0.11 0.19 0.17 0.36 0.47 ======

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