A production manager at a Contour Manufacturing plant has inspected the number o

Question

A production manager at a Contour Manufacturing plant has inspected the number of defective plastic molds in five random samples of 15 observations each. Following are the number of defective molds found in each sample:A production manager at a Contour Manufacturing plant has inspected the number of defective plastic molds in five random samples of 15 observations each. Following are the number of defective molds found in each sample:

75

Construct a 3-sigma control chart (z = 3) with this information.

Sample Number of
Defects Number of
Observations
in Sample 1 0 15 2 3 15 3 1 15 4 2 15 5 0 15 Total 6

75

Construct a 3-sigma control chart (z = 3) with this information.

Explanation / Answer

CL = Avg Fraction Defective = Total Number of Defects / Total Number of Observations = 6/75 = 0.08(avg p)

n = 15

STD of p = SQRT of [ p (1-p)/ n] = (.08)(.02)/15 = 0.0103

UCL = Avg of p + 3 Std Error = Avg of p + 3 p =0.08 +3(.0103) = 0.1109

LCL = Avg of p - 3 Std Error = Avg of p - 3 p =0.08 - 3(.0103) = 0.0491

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