PAM 210 Lecture 1
Spring 2008
Problem Set #6
Posted: 10
th
of March, 2008
Due date: 24
th
of March, 2008
Round all final answers to four decimal places, if necessary.
#1)A college decides to admit 1400 students.
Past experience shows that 60% of the
students admitted will accept.
Assuming that students make their decisions
independently, the number who accept has the B(1400, 0.6) distribution.
a) What are the mean and standard deviation of the number X of students who accept?
The mean of X is
840
6
.
0
*
1400
=
=
=
np
X
μ
The standard deviation of X is
3303
.
18
4
.
0
*
6
.
0
*
1400
)
1
(
=
=

=
p
np
X
σ
b) What is the probability that more than 850 accept? Round your value of z up to two
decimal places and then use Table A.
We need to find out the zscore.
55
.
0
3303
.
18
840
850
=

=
z
2912
.
7088
.
1
)
55
.
0
(
1
)
55
.
0
(
)
850
(
=

=
≤

=
≥
=
≥
z
P
z
P
X
P
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View Full Document#2) An experiment on the teaching of reading compares two methods, A and B.
The
response variable is the Degree of Reading Power (DRP) score.
The experimenter uses
Method A in a class of 26 students and Method B in a comparable class of 24 students.
The classes are assigned to the teaching methods at random.
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 Spring '08
 ABDUS,S.
 Normal Distribution, Standard Deviation, Standard Error

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