Answered: In each of Exercises, use the…

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 Mann–Whitney test to perform the required hypothesis test
SAT Essay Scores. The SAT is a standardized test required for most college admissions in the United States. It is owned, published, and developed by the College Board and results are reported in College-Bound Seniors Total Group Prole Report. In 2006, an essay section with possible scores ranging from 2 to 12 was added to the test. The following essay scores are from samples of students who took their SAT during either their freshman or senior year.

Freshman

Senior

8	8	8	6	6	8	6	7	9	9
4	9	6	8	5	10	8	6	5	8

At the 1% significance level, is there sufficient evidence to conclude that the median SAT essay score is lower for students who take the SAT during their freshman year than for those who take it during their senior year?

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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