S08
FST 109
Homework 3
Each problem is valued at 20 points; one problem will be graded
Due May 2
Objectives: (1) distinguish between the distributions used for variables and for attributes, )(2)
demonstrate proficiency in using Excel’s built in statistical functions, and (3) identify key quality
innovators, (4) utilize resources to support class concepts.
Rdg: Hubbard 3
rd
ed., Ch 1, 3, 4
1.
Canned green beans are classified by the number of defects in a container.
In order to have an
A
classification, no more than 2% of pieces in a container (a unit) can be blemished to be considered
conforming.
A production line is operating at 5% nonconforming output (
e.g.
, 95% conforming).
Every hour a sample of 20 units of product is taken, and the number of nonconforming units counted.
The product is reclassified as a
B
classification if one or more nonconforming unit is found.
a.
What distribution is best applied to this situation?
b.
What is the probability of zero nonconforming units?
c.
What is the probability that the product will be reclassified to a
B
classification?
Solution:
a. binomial
b.
c.
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 Spring '08
 KathrynL.McCarthy
 Standard Deviation, W. Edwards Deming, builtin function, nonconforming units, AOAC International

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