13.11 Random numbers. If you ask a computer to generate “random numbers" between 0and 5, you will get observations from a uniform distribution. Figure 13.12 shows the densitycurve for a uniform distribution. This curve takes the constant value 0.2 between 0 and 5 andis 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 = 0,20Moore/Notz, Statistics: Concepts and Controversies, 10e, 0 2020 W. H. Freeman and CompanyFigure 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 2018article "Flynn effect and its reversal are both environmentally caused." This distribution isvery close to Normal with mean 100 and standard deviation 10. Use the Normal distributionwith 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 | 248 67789999 0001222455567788888899910000001111122344105555566677888991111022335566812 | 234Moore/Notz, Statistics: Concepts andControversies, 10e, © 2020 W. H.Freeman and CompanyFigure 13.13 Stemplot of the IQ scores of 80 adults, forExercises 13.12 to 13.14. (Key: A stem of 8 and a leaf of 2means 82.)13.14 What percentage of all students have IQ scores below 80? None of the 80 adults in oursample had scores this low. Are you surprised at this? Why?

Answered: Image /qna-images/answer/9ef590d7-75b7-4006-8b6b-111888bcf8a1.jpg

andom numbers. If you ask a computer to generate "random numbers you will get observations from a uniform distribution. Figure 13.12 shows or a uniform distribution. This curve takes the constant value 0.2 betweer outside that range. Use this density curve to answer these questions. Vhy is the total area under the curve equal to 1? 'he curve is symmetric. What is the value of the mean and median? Vhat percentage of the observations lie between 4 and 5? Vhat percentage of the observations lie between 1.5 and 3? -height = 0.20

andom numbers. If you ask a computer to generate "random numbers you will get observations from a uniform distribution. Figure 13.12 shows or a uniform distribution. This curve takes the constant value 0.2 betweer outside that range. Use this density curve to answer these questions. Vhy is the total area under the curve equal to 1? 'he curve is symmetric. What is the value of the mean and median? Vhat percentage of the observations lie between 4 and 5? Vhat percentage of the observations lie between 1.5 and 3? -height = 0.20

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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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.

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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