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Chapter 5: Normal Probability Distributions
Elementary Statistics:
Picturing the World
Sixth Edition
by Larson and Farber
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 4- 1
Find the probability using the standard
normal distribution.
P(z < 1.49)
A. 0.9319
B. 0.0681
C. 0.6879
D. 0.3121
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 2
Find the probability using the standard
normal distribution.
P(z < 1.49)
A. 0.9319
B. 0.0681
C. 0.6879
D. 0.3121
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 3
Find the probability using the standard
normal distribution.
P(z ≥ –2.31)
A. 0.0104
B. 0.0087
C. 0.9896
D. 0.9913
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 4
Find the probability using the standard
normal distribution.
P(z ≥ –2.31)
A. 0.0104
B. 0.0087
C. 0.9896
D. 0.9913
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 5
Find the probability using the standard
normal distribution.
P(–2.14 < z < 0.95)
A. 0.1170
B. 0.0681
C. 0.1873
D. 0.8127
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 6
Find the probability using the standard
normal distribution.
P(–2.14 < z < 0.95)
A. 0.1170
B. 0.0681
C. 0.1873
D. 0.8127
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 7
IQ scores are normally distributed with a
mean of 100 and a standard deviation of
15. Find the probability a randomly
selected person has an IQ score greater
than 120.
A. 0.9082
B. 0.0918
C. 0.6293
D. 0.3707
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 8
IQ scores are normally distributed with a
mean of 100 and a standard deviation of
15. Find the probability a randomly
selected person has an IQ score greater
than 120.
A. 0.9082
B. 0.0918
C. 0.6293
D. 0.3707
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 9
IQ scores are normally distributed with a
mean of 100 and a standard deviation of
15. Find the probability a randomly
selected person has an IQ score between
100 and 120.
A. 0.9082
B. 0.0918
C. 0.4082
D. 0.5918
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 10
IQ scores are normally distributed with a
mean of 100 and a standard deviation of
15. Find the probability a randomly
selected person has an IQ score between
100 and 120.
A. 0.9082
B. 0.0918
C. 0.4082
D. 0.5918
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 11
Find the z-score that has 2.68% of the
distribution’s area to its right.
A. z = 0.9963
B. z = –1.93
C. z = –0.0037
D. z = 1.93
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 12
Find the z-score that has 2.68% of the
distribution’s area to its right.
A. z = 0.9963
B. z = –1.93
C. z = –0.0037
D. z = 1.93
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 13
IQ scores are normally distributed with a
mean of 100 and a standard deviation of
15. What IQ score represents the 98th
percentile?
A. 131
B. 69
C. 113
D. 145
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 14
IQ scores are normally distributed with a
mean of 100 and a standard deviation of
15. What IQ score represents the 98th
percentile?
A. 131
B. 69
C. 113
D. 145
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 15
A population has a mean of 80 and a
standard deviation of 12. Samples of size
36 are selected from the population.
Describe the sampling distribution of x .
A. Normal,  x  80,  x  2
B. Normal,  x  80,  x  12
C. Approximately normal,  x  80,  x  2
D. Approximately normal,  x  80,  x  12
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 16
A population has a mean of 80 and a
standard deviation of 12. Samples of size
36 are selected from the population.
Describe the sampling distribution of x .
A. Normal,  x  80,  x  2
B. Normal,  x  80,  x  12
C. Approximately normal,  x  80,  x  2
D. Approximately normal,  x  80,  x  12
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 17
American children watch an average of 25
hours of television per week with a
standard deviation of 8 hours. A random
sample of 40 children is selected. What is
the probability the mean number of hours
of television they watch per week is less
than 22?
A. 0.3520
B. 0.0089
C. 0.9911
D. 0.6480
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 18
American children watch an average of 25
hours of television per week with a
standard deviation of 8 hours. A random
sample of 40 children is selected. What is
the probability the mean number of hours
of television they watch per week is less
than 22?
A. 0.3520
B. 0.0089
C. 0.9911
D. 0.6480
© 2015, 2012, 2009 Pearson Education, Inc.
Slide 5- 19