| Search )|e http://eztomheducation.com/hm.tpx M-H Connect e chapter 10 homework

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| Search )|e http://eztomheducation.com/hm.tpx M-H Connect e chapter 10 homework Le Save & Ext Submit Question 3 (of 5) 20.00 points Problem 10-23 Ten samples of 15 parts each were taken trom an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the tollowing table NUMBER OF DEFECTIVE ITEMS IN THE n SAMPLE 15 15 15 15 15 SAMPLE 10 a. Determine the P, Sp. UCL and LCL for a p-chart of 95 percent confidence (1.96 standard deviations). (Leave no cells blank - be certain to enter "o" wherever required. Round your answers to 3 decimal places.) Sp UCL LCL b. What comments can you make about the process? O Process is out of statistical control O Process is in statistical control Hints References 7:50 PM 12/4/2017 Type here to search

Explanation / Answer

a)

p-bar = total number of defects/Total sample size = (1+1+3+1+0+0+2+1+2+1)/(15*10) = 0.08

Sp = sqrt(p-bar*(1-p-bar)/n) = sqrt(0.08*(1-0.08)/15) = 0.070

z = 1.96

UCL = p-bar + z*Sp = 0.08 + 1.96*0.07 = 0.217

LCL = p-bar - z*Sp = 0.08 - 1.96*0.07 = -0.057. As it cannot be negative, hence 0

b)

Defects ratio for each sample is:

Process is out of control as sample 3 has defect ratio outside the limit

Sample Defect Defect ratio 1 1            0.067 2 1            0.067 3 3            0.200 4 1            0.067 5 0                   -   6 0                   -   7 2            0.133 8 1            0.067 9 2            0.133 10 1            0.067

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