Answered: A nutritionist working for the United…

Name: A nutritionist working for the United States Department of Agriculture
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A nutritionist working for the United States Department of Agriculture (USDA) randomly selected three cartons of eggs from all of the available cartons of standard large eggs at a neighborhood grocery store. Each egg in the randomly selected cartons

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 nutritionist working for the United States Department of Agriculture (USDA) randomly selected three cartons of eggs from all of the available cartons of standard large eggs at a neighborhood grocery store. Each egg in the randomly selected cartons had their nutritional content analyzed.
The data provided here are the amounts of milligrams of cholesterol in each of the sampled eggs.

186, 188, 179, 180, 192, 186, 183, 177, 184, 178, 191, 174,189, 176, 190, 188, 196, 187, 184, 184, 192, 194, 198, 183,183, 181, 187, 190, 186, 176, 183, 185, 191, 180, 184, 182

Test the validity of the claim, at the 0.01 level of significance, that the mean amount of cholesterol in a standard large egg is under 190 mg.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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