Assume that samples have been randomly selected from normally distributed populations.The table below shows the weights of 9 subjects before and after following a particular diet for two months.SubjectABCDEFGHIBefore169180157133202124190210181After162178145125181126182195163Construct a 99% confidence interval for the mean difference of the "before" minus "after" weights. Interpret the results.

The difference is, Before After Difference 169 162 7 180 178 2 157 145 12 133 125 8 202…

Answered: Assume that samples have been randomly…

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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Assume that samples have been randomly selected from normally distributed populations.

The table below shows the weights of 9 subjects before and after following a particular diet for two months.

Subject	A	B	C	D	E	F	G	H	I
Before	169	180	157	133	202	124	190	210	181
After	162	178	145	125	181	126	182	195	163

Construct a 99% confidence interval for the mean difference of the "before" minus "after" weights. Interpret the results.

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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