Answered: Hypothesis Test for a Population Mean…

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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Hypothesis Test for a Population Mean (σσ is Known)

You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.

Ho:μ=67.1Ho:μ=67.1
Ha:μ>67.1Ha:μ>67.1

You believe the population is normally distributed and you know the population standard deviation is σ=10.2σ=10.2. You obtain a sample mean of M=69.3M=69.3 for a sample of size n=62n=62.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to three decimal places.)
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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