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Introductory Statistics:
Exploring the World through Data, 1e
by Gould and Ryan
7.3
Central Limit Theorem
© 2013 Pearson Education, Inc.
Slide 7 - 1
Which of the following condition(s) on the
sample must be met for applying the Central
Limit Theorem for estimating proportions in a
population?
A.
Random and Independent
50%
B.
Large Sample
C.
Big Population
D.
All of the above
50%
0%
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A.
© 2013 Pearson Education, Inc.
B.
0%
C.
D.
Slide 7 - 2
True or False
If you don’t know the value of p, then you can
substitute the value of pö to calculate the
standard error.
100%
A.
B.
True
False
0%
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A.
© 2013 Pearson Education, Inc.
B.
Slide 7 - 3
True or False
If you don’t know the value of p, then you can
substitute the value of pö to calculate the
expected number of successes and failures,
when checking that the sample size is large
enough.
100%
A.
B.
True
False
0%
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A.
© 2013 Pearson Education, Inc.
B.
Slide 7 - 4
The condition that the population must
be “big” is satisfied if the population is
A.
twice the sample size
B.
five times the sample size
C.
ten times the sample size
D.
twenty times the sample
size
100%
0%
A.
0%
B.
0%
C.
D.
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© 2013 Pearson Education, Inc.
Slide 7 - 5
True or False
If the conditions of a survey sample satisfy
those required by the ClT, then the probability
that a sample proportion will fall within two
standard errors of the population value is 67%.
100%
A.
B.
True
False
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A.
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B.
Slide 7 - 6