Answered: A researcher claims that the variance…

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 researcher claims that the variance of the heights of all female college basketball
players is 4.80 square inches. A random sample of 28 female college basketball players
produced a variance of their heights equal to 11.122 square inches. The null hypothesis is
that the variance of the heights of all female college basketball players is equal to 4.80
square inches and the alternative hypothesis is that the variance of the heights of all
female college basketball players is not equal to 4.80. Assume that the population is
normally distributed. The significance level is 5%.

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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