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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 m = 20.9 kg and s = 3.2. She suspects that children in poverty-stricken regions are undernourished and therefore underweight. With a sample of n = 16 children, the resea

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 m = 20.9 kg and s = 3.2. 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 M = 18.3. Use a one-tailed test with a = .01 to determine if the weights for this sample are significantly lower than what would be expected for the regular population of 6-year-olds. Include the null hypothesis in symbols, critical region(s), and a conclusion about significance

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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