Answered: The data on monthly rents, in dollars,…

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 data on monthly rents, in dollars, for independent random samples of newly completed apartments in the four U.S. regions are presented in the following table.

Given the ANOVA table, test at 5% significance level whether a difference exists in mean rent of newly completed apartments in the four U.S. regions.

6. The data on monthly rents, in dollars, for independent random samples of newly completed
apartments in the four U.S. regions are presented in the following table.
Northeast Midwest South
870
West
1005
891
1025
1012
898
748
630
948
699
861
1090
1181
814
1036
926
1269
721
606
1244
Given the ANOVA table, test at 5% significance level whether a difference exists in mean rent of
newly completed apartments in the four U.S. regions.
SS
MS =
df
133504
Source
df
SS
F-statistic
P-value
400513
Region
Error
3
F, = 7.541
0.0023
16
283265
17704
Total
19
683778

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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