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Description: Assume that a simple random sample has been selected from a normally distributed population. Identify the null hypothesis, alternative hypothesis, test statistic, P-value ( or range of P-value), critical value(s), conclusion about the null hypothesi

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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Assume that a simple random sample has been selected from a normally distributed population. Identify the null hypothesis, alternative hypothesis, test statistic, P-value ( or range of P-value), critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim.

Listed below are measured amounts of lead (in micrograms per cubic meter, or μ g/m 3 ) in the air.

5.40 1.10 0.42 0.73 0.48 1.10 0.89 1.29

Use a 0.01 significance level to test the claim that the sample is from a population with a mean greater than 1.5 μ g/m 3.

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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