Due:
In class, Friday
March 21, 2008
Name(s)
(up to four students per homework set)
:
Section number(s)
1.
2.
3.
4.
For instructor or TA use only:
Problem
Score
Points
1
10
2
20
3
20
4
20
5
15
6
15
M E 345
Spring Semester, 2008
Homework Set # 7
Professor J. M. Cimbala
Total:
100
1
.
(10 pts)
Consider the decimal number 187.
(
a
) Convert the decimal number into 12bit binary, showing all your work.
(
b
) Work “backwards” to verify your result, again showing all your work.
2
.
(20 pts)
Hank works for an agricultural engineering design company after graduation. One of his first assignments is to
improve the performance of a machine that separates grain using highspeed air jets. Hank test 12 of the jets, measuring the
average velocity produced by each jet (in units of m/s). Let’s call this sample A. Then Hank makes a modification to 10 jets,
and retests them in the otherwise identical conditions. Let’s call this sample B. An Excel spreadsheet accompanies this
homework set. It contains both data sets.
(
a
) Perform a twosided independent samples hypothesis test “by hand,” and calculate the percentage confidence level (to
three significant digits) that there is a change in the jet speed.
Note
: “by hand” means you may use Excel for the
calculations, but you cannot use the builtin macro for a twosample
t
test. In other words, calculate the
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 Spring '08
 staff
 Statistics, Normal Distribution, Student's ttest, Student's tdistribution, Confidence Level

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