Answered: A professors exam scores have been…

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 professors exam scores have been consistent for years and normally distributed. The whole data base of scores has a mean of 25.4 points (out of 30) and a standard deviation of 1.75 points. They would like to revise the course to see if exam scores improve. 18 students took the new course and their average score was 25.9. The professor is running a hypothesis test to see if the new sample performed significantly better. Calculate the standard error of the sampling distribution, z statistic and critical z value.

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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