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Description: Past experience has shown that the scores of students who take a certain mathematics test are normally distributed with mean 75 and variance 36. The Mathematics Department members would like to know whether this year’s group of 16 students is typical

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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Past experience has shown that the scores of students who take a certain mathematics test are normally distributed with mean 75 and variance 36. The Mathematics Department members would like to know whether this year’s group of 16 students is typical. They decide to test the hypothesis that this year’s students are typical against the alternative that they are not typical. When the students take the test, the average score is 82. What conclusion should be drawn?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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