A sample of 12 students participated in an online tutoring program in mathematics. Each student took a pretest before the program started, and a posttest after completely the program. Following are the scores.Student123456789101112Pre test737645776544515378704679Post Test838957797539626276793994Can you conclude that the median scores differ between the pretest and the posttest? Use the α = 0.05 level of significance

The null and alternative hypothesis is given below:Null hypothesis:There is no evidence that the…

Answered: A sample of 12 students participated in…

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 sample of 12 students participated in an online tutoring program in mathematics. Each student took a pretest before the program started, and a posttest after completely the program. Following are the scores.

Student	1	2	3	4	5	6	7	8	9	10	11	12
Pre test	73	76	45	77	65	44	51	53	78	70	46	79
Post Test	83	89	57	79	75	39	62	62	76	79	39	94

Can you conclude that the median scores differ between the pretest and the posttest? Use the α = 0.05 level of significance

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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