IE 330
Seat # ________
Name ___ <KEY > ___
Open book and notes. 120 minutes.
Cover page and six pages of exam.
No calculators.
Score ___________________________
Final Exam (example)
Schmeiser
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IE 330 — Probability & Statistics in Engineering II
Name ___ <KEY > ___
Open book and notes. No calculator. 120 minutes.
1. True or false. (for each, 2 points if correct, 1 point if left blank.)
(a)
T
←
F
In hypothesis testing, we assume that
H
0
is true and ask whether the
data are consistent with that assumption.
(b)
T
←
F
In regression analysis, we explain variability in the dependent variable
by relating it to independent variable(s).
(c)
T
←
F
In confidence intervals, the confidence arises from the procedure, not
from the particular interval.
(d)
T
←
F
The
F
distribution is used to compare variances.
(e)
T
←
F
The
T
distribution is used to compare means.
(f)
T
F
←
If
X
and
Y
have zero correlation, then Cov(
X
,
Y
) is not defined.
(g)
T
←
F
The acronym "iid" means "independent and identically distributed".
(h)
T
F
←
Decreasing the typeone error probability increases the power of the
test.
2. (Montgomery and Runger, Problem 11–1) An article in
Concrete Research
("Near Surface
Characteristics of Concrete:
Intrinsic Permeability," 41, 1989), presented data on
comprehensive strength
x
and intrinsic permeability
y
of various concrete mixes and
cures.
Summary
quantities
are
n
=
14,
Σ
y
i
=
572,
Σ
y
i
2
=
23,530,
Σ
x
i
=
43,
Σ
x
i
2
=
157.42
and
Σ
x
i
y
i
=
1697.80.
Consider
the
regression
model
y
i
=β
0
+β
1
x
i
+ε
i
.
(For Parts (a) and (b), you do not need to solve for a numerical answer, but anyone with
a calculator should be able to finish your calculation.)
(a) Write the equation for the leastsquares estimated value of the
y
intercept.
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 Fall '08
 Statistics, Regression Analysis, Standard Deviation, Variance, Probability theory

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