Answered: Central Limit Theorem: The average…

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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Central Limit Theorem: The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave frozen dinners is 650 mg, and the standard deviation is 35 mg. Assume the variable is normally distributed (Round your answers to 4 decimal places). (a) If a single dinner is selected, find the probability that the sodium content will be more than 670 mg. (a). (b) If a sample of 10 dinners is selected, find the probability that the mean of the sample will be larger than 670 mg. (c) why is the probability for part a is greater than part b?

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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