Question

re, 20.15% & Problem 6s.16 The defect rate for your product has histoncally been about 2 00%. For a sample size of 100, the upper and lower 3-sigma control chart limits are: UCL LCL 0620 (enter your response as a number between 0 and 1, rounded to four decimal places) (enter your response as a number behween 0 and 1, rounded to four decimal places)

Answer 1

Solution:

Given in the question

p= 0.02

UCLp can be calculated as = p + 3*sqrt(p*(1-p)/n)) = 0.02 + 3*(0.02*0.98/100) = 0.02+ 0.0420 = 0.0620
LCLp can be calculated as = p + 3*sqrt(p*(1-p)/n)) = 0.02 + 3*(0.02*0.98/100) = 0.02- 0.0420 = -0.022

but defect rate can not be in -ve or less than 0 so LCLp = 0

SO UCLp = 0.0620 and LCLp = 0