ENGR 361
Statistical Analysis of Engineering Systems
2/27/2014
Homework 1 Solutions
Homework 1 Solutions
1.
a.
Houston Chronicle, Des Moines Register, Chicago Tribune, Washington Post
b.
Capital One, Campbell Soup, Merrill Lynch, Pulitzer
c.
Bill Jasper, Kay Reinke, Helen Ford, David Menedez
d.
1.78, 2.44, 3.5, 3.04
3.
a.
In a sample of 100 VCRs, what are the chances that more than 20 need service while under
warrantee? What are the chances than none need service while still under warrantee?
b.
What proportion of all VCRs of this brand and model will need service within the warrantee
period?
7.
One could generate a simple random sample of all single family homes in the city or a stratified random
sample by taking a simple random sample from each of the 10 district neighborhoods. From each
of the homes in the sample the necessary variables would be collected. This would be an
enumerative study because there exists a finite, identifiable population of objects from which to
sample.
11.
1 of 11
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Statistical Analysis of Engineering Systems
2/27/2014
Homework 1 Solutions
This display brings out the gap in the data:
There are no scores in the high 70's.
The mode for the scores is in the low 80’s (maybe useful as a guideline for setting the location of the mid
B
grade).
12.
One method of denoting the pairs of stems having equal values is to denote the first stem by L, for 'low',
and the second stem by H, for 'high'. Using this notation, the stemandleaf display would appear
as follows:
The stemandleaf display on the previous page shows that .45 is a good representative value for the data.
In addition, the display is not symmetric and appears to be positively skewed. The spread of the
data is .75  .31 = .44, which is.44/.45 = .978, or about 98% of the typical value of .45. This
constitutes a reasonably large amount of variation in the data. The data value .75 is a possible
outlier.
25.
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 Fall '04
 Eisenstein
 Standard Deviation, Engineering Systems, Statistical Analysis of Engineering Systems

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