Answered: Suppose we wish to test the hypotheses…

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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Suppose we wish to test the hypotheses H0 : μ = 10 versus Ha : μ < 10, where μ represents
the mean age of non-high school aged children who are members of a large gymnastics
club in a metropolitan area. Assume age follows a Normal distribution with = 2. A
random sample of 16 ages is drawn from the population, and we find the sample mean of
these observations to be ¯ x = 8.76.
(a) What is the value of the test statistic?
(b) What is the value of the P-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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