Answered: Watch your cholesterol: The mean serum…

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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Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 201, with a standard deviation of 40.8 (the units are milligrams per deciliter). A simple random sample of 109 adults is chosen. Use the TI-84 calculator. Round the answers to four decimal places What is the probability that the sample mean cholesterol level is greater than 208? The probability that the sample mean cholesterol level is greater than 208 is ___ What is the probability that the sample mean cholesterol level is between 193 and 199? The probability that the sample mean cholesterol level is between 193 and 199 is_____ Would it be unusual for the sample mean to be less than 195? It would/ Would not be unusual for the sample mean to be less than 195, since the probability is____

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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