The average amount of rainfall during the summer months for the midwestern part of the US is more than 13 inches. Rainfall amounts are generally normally distributed. A researcher selects a random sample of 15 cities in the Midwest and finds that the average amount of summer rainfall is 11.42 inches. The standard deviation of the sample is 2.13 inches. Using α = 0.05, can it be concluded that the mean rainfall in the Midwest is more than 13 inches? What is the p-value for this hypothesis test?The average amount of rainfall during the summer months for the midwestern part of the US is more than 13 inches. Rainfall amounts are generally normally distributed. A researcher selects a random sample of 15 cities in the Midwest and finds that the average amount of summer rainfall is 11.42 inches. The standard deviation of the sample is 2.13 inches. Using α = 0.05, can it be concluded that the mean rainfall in the Midwest is more than 13 inches? What is the p-value for this hypothesis test? -2.873 0.0061 0.9939 0.0123

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Answered: The average amount of rainfall during…

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 average amount of rainfall during the summer months for the midwestern part of the US is more than 13 inches. Rainfall amounts are generally normally distributed. A researcher selects a random sample of 15 cities in the Midwest and finds that the average amount of summer rainfall is 11.42 inches. The standard deviation of the sample is 2.13 inches. Using α = 0.05, can it be concluded that the mean rainfall in the Midwest is more than 13 inches? What is the p-value for this hypothesis test?

-2.873

0.0061

0.9939

0.0123

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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