IOE 265 W2007
HW #9 Solutions
Due: Tue April 17 by 5:30 PM (hand in to Ryan or Tim by the end of the
last lab session)
Please include your name, UM ID and lab section time
in your written homework
assignment. You may work with other students to discuss problem approaches and
check answers, but you may not copy another’s work or refer to solutions from the
Instructor’s manual or solutions from previous semesters. Please be sure to staple
your assignment if it includes multiple pages.
All problems are from the Devore text, 6
th
edition.
Required problems
1. (1.5 points) p. 337, problem #16.
a.
(0.5 point)
α
=
P
(
t
≥
3.733 when
t
has a
t
distribution with 15 d.f.) =.001,
because the 15 d.f. row of Table A.5 shows that t
.001,15
= 3.733.
b.
(0.5 point) d.f. = n–1 = 23, so
α
=
P
(
t
≤
2.500) = .01.
c.
(0.5 point) d.f. = 30,
α
=
P
(
t
≥
1.697) +
P
(
t
≤
1.697) = .05 + .05 = .10.
2. (3 points) p. 337, problem #18.
a.
(0.5 point) (72.375)/(9/sqrt(25)) = 1.5, or 1.5 standard deviations below
the null value
b.
(0.5 point) For
α
= 0.01 and Ha: μ < 75, the critical value is –z.01 = 2.33.
Since 1.5 > 2.33, we fail to reject H0 in favor of Ha.
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 Winter '07
 Jin
 Normal Distribution, Statistical hypothesis testing, rejection region

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