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664 HW8 Solns

# 664 HW8 Solns - Statistics 664 Autumn 2010 Homework 8...

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Statistics 664 – Autumn 2010 Homework 8 Solutions 1. Problem 7.2 Here is the fraction noncomforming chart (P-chart) for all the data from Minitab. 19 17 15 13 11 9 7 5 3 1 0.10 0.08 0.06 0.04 0.02 0.00 Sample Proportion _ P=0.023 UCL=0.0597 LCL=0 1 1 P Chart of Ex7-2Num There are two points outside the control limits, so the process does not appear to be in control. We delete the two points that are outside the control limits and obtain a new P-chart, given below.

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17 15 13 11 9 7 5 3 1 0.06 0.05 0.04 0.03 0.02 0.01 0.00 Sample Proportion _ P=0.01630 UCL=0.04731 LCL=0 1 P Chart of Ex7-2Num_1 Now the first point is outside the new control limits. If we delete that point, we obtain the control chart 17 15 13 11 9 7 5 3 1 0.04 0.03 0.02 0.01 0.00 Sample Proportion _ P=0.01412 UCL=0.04302 LCL=0 P Chart of Num3
Now all points are inside the control limits, so we would used the control limits given in this chart. 2. Problem 7.4 (a) Here is the desired control chart based on the data given (we would use the center line and control limits given in the chart).

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