Answered: When a sign test is applied to some…

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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Question

When a sign test is applied to some data it is found that there are 20 values lying below the assumed value for the population median, 5 values lying above the assumed median and no values exactly equal to the assumed median.

Using this information, select TWO options that are TRUE of this test.

Select one or more:

the critical value at the 5% significance level is 8

the critical value at the 5% significance level is 25

the hypothesis should not be rejected at the 5% significance level

the critical value at the 5% significance level is 6

the critical value at the 5% significance level is 5

the hypothesis should be rejected at the 5% significance level

the critical value at the 5% significance level is 7

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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