Answered: In each of Exercises, use the Wilcoxon…

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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In each of Exercises, use the Wilcoxon signed-rank test to perform the required hypothesis test.

How Old People Are. In 2010, the median age of U.S. residents was 37.2 years, as reported by the U.S. Census Bureau in Current Population Reports. A random sample of 10 U.S. residents taken this year yielded the following ages, in years

44	64	16	59	38
47	51	41	13	28

At the 1% significance level, do the data provide sufficient evidence to conclude that the median age of today’s U.S. residents has increased from the 2010 median age of 37.2 years?

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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