Answered: A meal box enterpreneur wants to know…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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A meal box enterpreneur wants to know how the meal box size (in centimeters) of parents compares to the meal box 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 meal box size subtracted by the child's meal box size.

Specify the competing hypothesis to determine if the median difference in meal box size between parents and children is greater than zero.
At the 5% significance level, what is the critical value?
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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