MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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13.11 Random numbers. If you ask a computer to generate “random numbers" between 0
and 5, you will get observations from a uniform distribution. Figure 13.12 shows the density
curve for a uniform distribution. This curve takes the constant value 0.2 between 0 and 5 and
is zero outside that range. Use this density curve to answer these questions.
a. Why is the total area under the curve equal to 1?
b. The curve is symmetric. What is the value of the mean and median?
c. What percentage of the observations lie between 4 and 5?
d. What percentage of the observations lie between 1.5 and 3?
height = 0,20
Moore/Notz, Statistics: Concepts and Controversies, 10e, 0 2020 W. H. Freeman and Company
Figure 13.12 The density curve of a uniform distribution, for Exercise 13.11.
Observations from this distribution are spread "at random" between 0 and 5.
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Transcribed Image Text:13.11 Random numbers. If you ask a computer to generate “random numbers" between 0 and 5, you will get observations from a uniform distribution. Figure 13.12 shows the density curve for a uniform distribution. This curve takes the constant value 0.2 between 0 and 5 and is zero outside that range. Use this density curve to answer these questions. a. Why is the total area under the curve equal to 1? b. The curve is symmetric. What is the value of the mean and median? c. What percentage of the observations lie between 4 and 5? d. What percentage of the observations lie between 1.5 and 3? height = 0,20 Moore/Notz, Statistics: Concepts and Controversies, 10e, 0 2020 W. H. Freeman and Company Figure 13.12 The density curve of a uniform distribution, for Exercise 13.11. Observations from this distribution are spread "at random" between 0 and 5.
IQ test scores. Figure 13.13 is a stemplot of the IQ scores that are consistent with the 2018
article "Flynn effect and its reversal are both environmentally caused." This distribution is
very close to Normal with mean 100 and standard deviation 10. Use the Normal distribution
with mean 100 and standard deviation 10 as a description of the IQ test scores of all adults.
Use this distribution and the 68-95–99.7 rule to answer Exercises 13.12 to 13.14.
8 | 24
8 6778999
9 00012224
555
677888888999
10
000001111122344
10
555556667788899
11
11
02233
55668
12 | 234
Moore/Notz, Statistics: Concepts and
Controversies, 10e, © 2020 W. H.
Freeman and Company
Figure 13.13 Stemplot of the IQ scores of 80 adults, for
Exercises 13.12 to 13.14. (Key: A stem of 8 and a leaf of 2
means 82.)
13.14 What percentage of all students have IQ scores below 80? None of the 80 adults in our
sample had scores this low. Are you surprised at this? Why?
expand button
Transcribed Image Text:IQ test scores. Figure 13.13 is a stemplot of the IQ scores that are consistent with the 2018 article "Flynn effect and its reversal are both environmentally caused." This distribution is very close to Normal with mean 100 and standard deviation 10. Use the Normal distribution with mean 100 and standard deviation 10 as a description of the IQ test scores of all adults. Use this distribution and the 68-95–99.7 rule to answer Exercises 13.12 to 13.14. 8 | 24 8 6778999 9 00012224 555 677888888999 10 000001111122344 10 555556667788899 11 11 02233 55668 12 | 234 Moore/Notz, Statistics: Concepts and Controversies, 10e, © 2020 W. H. Freeman and Company Figure 13.13 Stemplot of the IQ scores of 80 adults, for Exercises 13.12 to 13.14. (Key: A stem of 8 and a leaf of 2 means 82.) 13.14 What percentage of all students have IQ scores below 80? None of the 80 adults in our sample had scores this low. Are you surprised at this? Why?
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