Answered: A nutritionist claims that children 13…

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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Question

A nutritionist claims that children 13 to 15 years old are consuming less than the recommended iron intake of 20.5 milligrams. A random sample of 50 children 13 to 15 years old was obtained and their daily consumption of
iron was measured. The mean daily iron intake among these children was found to be 12.5 milligrams. Assume that the data for iron intake follows a normal distribution with a standard deviation of 4.75 milligrams.

1. How large a sample is needed if you want to estimate the true mean iron intake to within 1 milligram with 99% confidence?

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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