A metal fabricator produces connecting rods with an outer diameter that has a 1 ± .01-inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.002 inches with a standard deviation of .003 inch.a. Calculate the process capability index for this example.b. What does this figure tell you about the process? Statistical Quality ControlChapter 13387assembly and will have to be replaced later at a cost of $10 each when they are detected infinal product testing. (Answer in Appendix E)a. Should this inspection position be eliminated?b. What is the cost to inspect each unit?c. Is there benefit (or loss) from the current inspection process? How much?2. A metal fabricator produces connecting rods with an outer diameter that has a 1 ± .01-inchspecification. A machine operator takes several sample measurements over time and determinesthe sample mean outer diameter to be 1.002 inches with a standard deviation of .003 inch.a. Calculate the process capability index for this example.b. What does this figure tell you about the process?detected into

Given that, The upper Specification Limit USL=1+0.01 The Lower Specification Limit LSL=1-0.01 The…

Answered: 2. A metal fabricator produces…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

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A metal fabricator produces connecting rods with an outer diameter that has a 1 ± .01-inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.002 inches with a standard deviation of .003 inch. a. Calculate the process capability index for this example. b. What does this figure tell you about the process?

Statistical Quality Control
Chapter 13
387
assembly and will have to be replaced later at a cost of $10 each when they are detected in
final product testing. (Answer in Appendix E)
a. Should this inspection position be eliminated?
b. What is the cost to inspect each unit?
c. Is there benefit (or loss) from the current inspection process? How much?
2. A metal fabricator produces connecting rods with an outer diameter that has a 1 ± .01-inch
specification. A machine operator takes several sample measurements over time and determines
the sample mean outer diameter to be 1.002 inches with a standard deviation of .003 inch.
a. Calculate the process capability index for this example.
b. What does this figure tell you about the process?
detected into

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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