Answered: The recent Statistics test scores of…

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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The Central Limit Theorem;

1. The recent Statistics test scores of Grade 1 pupils of Baesa Elementary School is normally distributed with a mean of 41 and a standard deviation of 6. If a random sample of 60 pupils is selected and their scores are recorded, (A) find the probability that their average score is greater than 40 but less than 42, and, (B) determine the number of sample means falling below 40.

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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