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Section 10.3
Exercise 10.1
.
(
a
) 2
:
015
(
b
) 2
:
306
(
c
) 1
:
330
(
d
) 1
:
960
Exercise 10.2
.
(
a
) A twotailed test with
= 0
:
01 and 12
df
gives
t
2
=
t
0
:
005
= 3
:
055. The
rejection region is
j
t
j
>
3
:
055; that is, either
t <
3
:
055 or
t >
3
:
055.
(
b
) A righttailed test with
= 0
:
05 and 16
df
gives
t
=
t
0
:
05
= 1
:
746. The
rejection region is
t >
1
:
746.
(
c
) A twotailed test with
= 0
:
05 and 25
df
gives
t
2
=
t
0
:
025
= 2
:
060. The
rejection region is
j
t
j
>
2
:
060; that is, either
t <
2
:
060 or
t >
2
:
060.
(
d
) A lefttailed test with
= 0
:
01 and 7
df
gives
t
=
t
0
:
01
= 2
:
998. The
rejection region is
t <
2
:
998.
Exercise 10.3
.
(
a
) A twotailed test with
t
= 2
:
43 and 12
df
: The
p
value is given by
p
value =
P
f
t <
2
:
43
g
+
P
f
t >
2
:
43
g
= 2
P
f
t >
2
:
43
g
:
Then it is clear that
1
2
(
p
value) =
P
f
t >
2
:
43
g
:
Now we read from
Table 4
that
P
f
t >
2
:
179
g
= 0
:
025
P
f
t >
2
:
43
g
=
1
2
(
p
value)
P
f
t >
2
:
681
g
= 0
:
010
:
It follows that
0
:
01
<
1
2
(
p
value)
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This note was uploaded on 04/20/2008 for the course MTH 1363 taught by Professor Cheng during the Spring '08 term at Creighton.
 Spring '08
 Cheng
 Statistics

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