An experimental study on reading was conducted on a group of 15 students using a pre-test-post-test design. The table shows the pre-test and post-test reading scores of the students. Test the hypothesis at .05 alpha that the median score of the students in the pre-test is not significantly different from their median score in the post-test. Pre-testPost-Test657572837889637669807185738656658093728579797081536483977587

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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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An experimental study on reading was conducted on a group of 15 students using a pre-test-post-test design. The table shows the pre-test and post-test reading scores of the students. Test the hypothesis at .05 alpha that the median score of the students in the pre-test is not significantly different from their median score in the post-test.

Pre-test	Post-Test
65	75
72	83
78	89
63	76
69	80
71	85
73	86
56	65
80	93
72	85
79	79
70	81
53	64
83	97
75	87

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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