Answered: A real estate agent wants to know how…

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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A real estate agent wants to know how the home size (in square feet) of parents compares to the home
size of their children. For a sample of seven parents and their children, the value of the test statistic for the
Wilcoxon signed-rank test for a matched pairs sample is T = T+= 27. The differences are calculated as the parent's home size subtracted by the child's home size.
a. Specify the competing hypothesis to determine if the median difference in home size between parents
and children is greater than zero.
b. At the 5% significance level, what is the critical value?
c. At the 5% significance level, what is the decision and conclusion?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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