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Assignment Eight
ECE 3800
Fall 2008
Date Due: November 03
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You now have your first job as an Electrical Engineer and sure enough, the boss comes in
and gives you your first assignment  in statistics of course.
It turns out that a sample of
5 resistors were taken off the assembly line and tested  the resistances were found to be
95, 110, 120, 110 and 100 ohms.
a.
Find the standard deviation of the sample.
Show your work.
b.
Estimate the standard deviation of the entire population of resistors.
Show your
work.
c.
Explain the reason that the two answers in (a) and (b) are different.
Remember,
your boss is smart, but she never took ECE 3800!
d.
Assuming the resistances are Gaussian distributed, find the probability that the
next resistor taken as a sample would be less than 100 ohms.
Recall the definition of the sample mean:
.
Using first principles,
derive the following important properties:
a.
b.
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This note was uploaded on 03/17/2010 for the course ECE 3800 taught by Professor Staff during the Spring '08 term at Western Michigan.
 Spring '08
 Staff

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