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Name: You wish to assess whether Los Angeles has an equitable distribution o
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Description: You wish to assess whether Los Angeles has an equitable distribution of police services among its precincts compared to nearby cities. You theorize that if police resources are distributed equitably, average response times for emergency calls should

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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You wish to assess whether Los Angeles has an equitable distribution of police services among its precincts compared to nearby cities. You theorize that if police resources are distributed equitably, average response times for emergency calls should be fairly similar from one precinct to another within the city. On the other hand, if response times are much higher in some precincts than others, police resources are probably not distributed as equitably as possible. You decide to compare the City of LA to the other cities in the rest of LA County. You are hypothesizing about differences in the mean between the City of LA and other cities. State in plain English the null and research hypotheses for this study.

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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