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Name: A researcher knows that the weights of 6-year olds are normally distri
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Description: A researcher knows that the weights of 6-year olds are normally distributed with a mean of 22.7 kg and σ = 2.8 kg. She suspects that children in poverty-stricken regions are undernourished and therefore underweight. With a sample of N = 16 children,

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 knows that the weights of 6-year olds are normally distributed with a mean of 22.7 kg and σ = 2.8 kg. She suspects that children in poverty-stricken regions are undernourished and therefore underweight. With a sample of N = 16 children, the researcher obtains a sample mean of X = 20.9 kg.

(a) Compute a 95% confidence interval for μ, the population mean weight for children in poverty- stricken regions.

(b) Perform a hypothesis test to decide whether children in poverty-stricken regions are significantly underweight.

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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