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ISyE2028A, Fall 2010
Version A:
1.
In inference for a difference in the means of two normal distributions, which one of the following is
the test statistic (or pivotal quantity)?
A.
µ
ଵ
െµ
ଶ
.
B.
X
ഥ
ଵ
െX
ഥ
ଶ
C.
భ
మ
୬
భ
െ
మ
మ
୬
మ
D.
x
ഥ
భ
ିx
ഥ
మ
ିሺµ
భ
ିµ
మ
ሻ
ඨ
ಚ
భ
మ
భ
ା
ಚ
మ
మ
మ
Answer: D
2.
In hypotheses testing with null hypothesis
H
:µ
ଵ
െµ
ଶ
ൌ0
and alternative hypothesis
H
ଵ
:µ
ଵ
െµ
ଶ
്
0
, let
Z
be the test statistic and assume that
µ
ଵ
and
µ
ଶ
are means of two normal distributions with
known variances, which one of the following gives the correct critical region?
A.
z
z
/ଶ
or
z
൏െz
/ଶ
B.
z
t
ಉ
మ
,୬ିଵ
or
z
൏െt
ಉ
మ
,୬ିଵ
C.
z
z
D.
z
t
,୬ିଵ
Answer: A
3.
In a hypothesis testing problem, suppose the p
‐
value is computed to be 0.0059 and level of the test
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This note was uploaded on 11/16/2010 for the course ISYE 2028 taught by Professor Shim during the Fall '07 term at Georgia Institute of Technology.
 Fall '07
 SHIM

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