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ENGRD2700
Basic Engineering Probability and Statistics
Spring 2009
Homework 7: Statistical Inference Introduction.
Hand in by 1:30 pm on Friday, March 27 in the ENGRD2700 dropbox.
Be sure to write your name and section number (1–6) on your homework.
Make sure that your homework pages are
stapled
together. This homework has 10 parts.
NOTE:
Your answers will be graded on the clarity of your writing as well as the correctness of the
answer. You must show your work to receive full credit. Any work that you submit must be your own.
1. A measurement of the diameter of a cylinder has an uncertainty (standard deviation) of 2 mm. How
many measurements must be made so that the diameter can be estimated with an uncertainty of only
0.5 mm?
2. Assume that
X
and
Y
are independent measurements with standard deviations
σ
X
= 0
.
2 and
σ
Y
= 0
.
2.
Find the standard deviations of the following quantities:
(a) 3
X
(b)
X

Y
(c) 2
X
+ 3
Y
3. Again assume that
X
and
Y
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