ESSAY. Write your answer in the space provided or on a separate sheet of paper.
ID: 3316244 • Letter: E
Question
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
1) Six Sigma is one approach for setting quality expectations for a given process or output. As pointed out in Chapter 17 of your text, the term "Six Sigma" comes from statistics: in a normal distribution, the area (probability) outside of +/ six standard deviations from the mean value is exceedingly small. You are provided the following values from a standardized normal distribution (i.e., a mean of zero and a standard deviation of 1): Z p 0.00 0.50000000 1.00 0.15870000 1.50 0.06681000 1.75 0.04006000 2.00 0.02275000 2.50 0.00621000 3.00 0.00135000 3.50 0.00023270 4.00 0.00003169 Note: The Z values in the above table refer to the number of sigmas to the right of center (i.e., to the right of Z = 0). The listed probabilities, p , refer to the area to the right of the chosen Z point, as illustrated by the graph below:
Required:
1.- Given the above, what is the probability for a 1-sigma performance level? How many defects might we expect for a process that is operating at 1-sigma level?
Explanation / Answer
1. Area to the right of the 1-sigma point = 0.1587.
Total area under the 1-sigma level of performance = 1-2x0.1587 = 0.6826
2. Area outside the 1-sigma performance level = 2 x 0.1587 = 0.3174
we can expect 31.74% defects for a process operating at 1-sigma level.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.