Answered: A high school teacher has designed a…

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 high school teacher has designed a new course intended to help prepare students for the mathematics section of the SAT. A sample of n= 20 students is recruited to for the course and at the end of the year each student takes the SAT. The average score for this sample is M = 562. For the general population scores on the SAT are standardized to from a normal distribution with mean = 500 and sigma = 100.

a) can the teacher conclude that students who take the course significantly higher than the general population? Use a one tailed test with (x = 0.01

b) compute Cohen's d to estimate the size of the effect.

c) write a sentence demonstrating how the results of the hypothesis test and the measure of effects size would appear in a research project.

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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