ENG 0901.102.03 Freshman Engineering Clinic II – Spring 2004
R. Polikar
Examples and Homework Questions on Engineering Statistics
For all of the following examples and questions, use and/or refer to the Gaussian table
provided below. Please see instructions on Page 7 before solving homework questions.
ENG 0901.102.03 Freshman Engineering Clinic II – Spring 2004
R. Polikar
Ex: To find the critical value tα/2,υ, find the desired area from the table for the given υ, and then read
the corresponding t-value. For 95% confidence, for 10 degrees of freedom, we want α=0.05 Î
Therefore we want tp such that the area to the left of tp is 0.975. The value sought is 2.23
ENG 0901.102.03 Freshman Engineering Clinic II – Spring 2004
R. Polikar
The first two examples are from the book “Engineering”, that some of you used last
semester.
Table 8.4
Please ignore the equation
numbers. These are similar to
those I have put in our lecture
notes on the web (Lecture 7)
ENG 0901.102.03 Freshman Engineering Clinic II – Spring 2004
Standardized value
corresponding to a zero mean
and unit variance sample
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Mean and variance values obtained in the
previous example.
The next few examples are from the book “Schaum’s Outline Series on Probability and
Statistics” (by Murray R. Spiegel). I recommend that you study, at least the examples,
before you leave for the break. That way, you can ask me if you have any questions.
Please feel free to come to my office and/or send e-mail, if you there is anything that is
not clear to you.
ENG 0901.102.03 Freshman Engineering Clinic II – Spring 2004
given above
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ENG 0901.102.03 Freshman Engineering Clinic II – Spring 2004
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ENG 0901.102.03 Freshman Engineering Clinic II – Spring 2004
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ENG 0901.102.03 Freshman Engineering Clinic II – Spring 2004
PROBLEMS WITH CONFIDENCE INTERVALS
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ENG 0901.102.03 Freshman Engineering Clinic II – Spring 2004
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ENG 0901.102.03 Freshman Engineering Clinic II – Spring 2004
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ENG 0901.102.03 Freshman Engineering Clinic II – Spring 2004
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HOMEWORK PROBLEMS
Due: April 26, 2003
The first few problems are from the Engineering book (from Chapter 8), and the remaining ones
are from the Schaum’s Probability and Statistics book (from Chapter 4, 6.). I will not ask you to
solve all questions below. In fact, everyone will solve an equal number of, but different set of
problems, based on class order. Note that 26-36 is listed for everyone. I expect you to do at least 6
of these. You pick the 6 you want, but must include two from each subsection. The questions
have been assigned at random, since they are all of equal difficulty. Because the solutions to all
questions are rather straightforward, correct numerical answer is required for full credit. Partial
credit will not be awarded with the exception of minor mistakes. Check and double your check
your answers before submitting.
Bonus / Extra credit:
Solve 22 and receive 20% bonus.
Solve 30 and receive 30%.
Solve all 36 and get 40% bonus added to this homework.
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1,3,5,7,9,11,13,15,17, 19, 21, 26-36
7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 26-36
1, 2, 3, 10, 11, 12, 13, 15, 17, 19, 23, 26-36
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 26-36
1, 2, 3, 4, 5, 17, 18, 19, 20, 21, 22, 26-36
4, 6, 8,10, 12, 14, 16, 18, 20, 22, 24, 26-36
3, 4, 5, 6, 10, 14, 16, 18, 20, 22, 25, 26-36
1, 4, 7, 10, 12, 13, 16, 19, 21, 24, 25, 26-36
3,5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 26-36
2, 3, 5, 8, 10, 12, 14, 16, 19, 21, 25, 26-36
3, 4, 5, 6, 7, 14, 15, 16, 17, 20, 23, 26-36
5, 8, 10, 11, 14, 18, 19, 21, 23, 25, 26-36
2, 6, 8, 9, 12, 15, 16, 21, 22, 23, 24, 26-36
4, 7, 9, 11, 12, 20, 21, 22, 23, 24, 25, 26-36
1, 2, 11, 12, 13, 16, 17, 19, 20, 22, 24, 26-36
2, 3, 9, 10, 11, 15, 17, 19, 21, 23, 24, 26-36
1, 4, 8, 10, 12, 14, 15, 18, 19, 20, 25, 26-36
3, 6, 9, 12, 15, 14, 18, 22, 23, 24, 25, 26-36
5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 26-36
5, 8, 9, 11, 17,18, 19, 21, 23, 24,25, 26-36
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