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MTH/STA 562
Exercise 8.17
. The point estimate of
is
b
=
Y
= 11
:
5. With
n
= 50 and
S
= 3
:
5, a bound on the error of estimation is
2
±
Y
= 2
±
p
n
2 (3
:
5)
p
50
= 0
:
99
:
Exercise 8.18
. The point estimate of
is
b
=
Y
= 7
:
2. With
n
= 200 and
S
= 5
:
6, a bound on the error of estimation is
2
±
Y
= 2
±
p
n
2 (5
:
6)
p
200
= 0
:
79
:
Exercise 8.19
. (
a
) The point estimate of
is
b
=
Y
= 11
:
3. With
n
= 467
and
S
= 16
:
6, a bound on the error of estimation is
2
±
Y
= 2
±
p
n
2 (16
:
6)
p
467
= 1
:
54
:
(
b
) The point estimate of
R
±
C
is
Y
R
±
Y
C
= 46
:
4
±
45
:
1 = 1
:
3. With
n
R
= 191,
n
C
= 467,
S
R
= 9
:
8, and
S
C
= 10
:
2, a bound on the error of estimation
is
2
±
Y
R
Y
C
= 2
s
±
2
R
n
R
+
±
2
C
n
C
2
s
S
2
R
n
R
+
S
2
C
n
C
= 2
s
(9
:
8)
2
191
+
(10
:
2)
2
467
= 1
:
7
:
(
c
) The point estimate of
p
C
±
p
R
is
b
p
C
±
b
p
R
= 0
:
78
±
0
:
61 = 0
:
17. A bound
on the error of estimation is
2
±
b
p
C
b
p
R
= 2
s
p
C
(1
±
p
C
)
n
C
+
p
R
(1
±
p
R
)
n
R
2
s
b
p
C
(1
±
b
p
C
)
n
C
+
b
p
R
(1
±
b
p
R
)
n
R
= 2
s
(0
:
78) (0
:
22)
467
+
(0
:
61) (0
:
39)
191
= 0
:
08
:
Exercise 8.20
. The point estimate of
p
is
b
p
= 0
:
54. A bound on the error of
estimation is
2
±
b
p
= 2
s
p
(1
±
p
)
n
2
s
b
p
(1
±
b
p
)
n
= 2
s
(0
:
54) (0
:
46)
1000
= 0
:
03
:
Note that 054
>
0
:
50. Thus, we can conclude that a majority of individuals in
this age group feel that religion is a very important part of their lives.
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View Full DocumentExercise 8.21
. The point estimate of
1
2
is
Y
1
Y
2
= 2
:
4
3
:
1 =
&
0
:
7.
With
n
1
=
n
2
= 100,
S
2
1
= 1
:
44, and
S
2
2
= 2
:
64, a bound on the error of estimation
is
2
±
Y
1
Y
2
= 2
s
±
2
1
n
1
+
±
2
2
n
2
±
2
s
S
2
1
n
1
+
S
2
2
n
2
= 2
s
1
:
44
100
+
2
:
64
100
= 0
:
404
:
Exercise 8.22
. The point estimate of
p
is
b
p
= 2
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 Spring '08
 Cheng

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