Answered: An exam is administered to 20 high…

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

An exam is administered to 20 high school students, chosen randomly from
within a large school district. Suppose that, if everyone in the school district were to
take the exam, scores would follow a normal distribution, with mean .69 and standard
deviation .18. What is the probaiblity that the average score for these 20 students is
more than 5 percentage points away from the population average (i.e. less than .64
or greater than .74)?

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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