BADM3601 HW #5

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George Washington University *

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3601

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Philosophy

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Feb 20, 2024

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pdf

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Uploaded by ProfSteelCaribou34

Justine Phi Homework #5 A. R-Chart and X-Bar Chart (20 Points): a. Compute the upper and lower control limits for the sample means and ranges of the thermostat testing process. For sample size (n)=5, the factors from table 5.1 three-sigma limits control chart are = 0.577 , = 0 and = 2.115. 𝐴 2 𝐷 3 𝐷 4 Control Limits of Mean Chart: UCL = X_double bar + * R-bar 𝐴 2 = 71.928 + 0.577 * 2.54 = 73.39358 73.394 ≈ LCL = X_double bar - * R-bar 𝐴 2 = 71.928 - 0.577 * 2.54 = 70.46242 70.462 ≈ Control Limits of Range Chart: UCL = * R-bar 𝐷 4 = 2.115 * 2.54 = 5.3721 5.372 ≈ LCL = * R-bar 𝐷 3 = 0 * 2.54 = 0 b. Draw an R-chart and x- bar chart for this process. Examine both charts. Is this process in control? Explain.

Justine Phi 2 The sample means and ranges are within their LCL and UCL ranges therefore, the process variability is under statistical control. B. P-Chart (10 Points): The process is in control because all the proportions lie within the control limit. C. C-Chart (10 Points): a. Assuming 10 observations are adequate for this purpose, determine the three-sigma control limits for dimples per camper top.

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