Answered: a) What proportion of crime incidents…

Name: The Hate Crime Statistics Act of 1990 requires the Attorney General to
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Description: The Hate Crime Statistics Act of 1990 requires the Attorney General to collect national data about crimes that manifest evidence of prejudice based on race, religion, sexualorientation, or ethnicity, including the crimes of murder and non-negligent m

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The Hate Crime Statistics Act of 1990 requires the Attorney General to collect national data about crimes that manifest evidence of prejudice based on race, religion, sexualorientation, or ethnicity, including the crimes of murder and non-negligent manslaughter,forcible rape, aggravated assault, simple assault, intimidation, arson, and destruction, dam-age, or vandalism of property. The Hate Crime Data collected in 2005 reveals, based on arandomly selected sample of 500 incidents, that the mean number of victims in a particulartype of hate crime was 2.65, with a standard deviation of 1.22. Assuming that the numberof victims wasnormally distributed, answer the following questions.

a) What proportion of crime incidents had more than three victims?

b) What is the probability that there was more than one victim in an incident?

c) What proportion of crime incidents had less than four victims?

d) Construct and interpret an estimate of the population at the 95% level.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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