Doctors claim that sticking to a low-fat diet is not enough to lower cholesterol levels of individuals with high cholesterol, meaning that the average cholesterol levels remain the same after a low-fat diet is followed. Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data are recorded in the table below. Assume that both sets of data are normally disputed. Is there enough evidence to dispute the doctor’s claim?Starting Cholesterol Level Ending Cholesterol Level 140140220230110120240220200190180150190200360300280300260240

In order to test the Doctor's claim which states that the average cholesterol levels remain the same…

Answered: Doctors claim that sticking to a…

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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Doctors claim that sticking to a low-fat diet is not enough to lower cholesterol levels of individuals with high cholesterol, meaning that the average cholesterol levels remain the same after a low-fat diet is followed. Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data are recorded in the table below. Assume that both sets of data are normally disputed. Is there enough evidence to dispute the doctor’s claim?

Starting Cholesterol Level	Ending Cholesterol Level
140	140
220	230
110	120
240	220
200	190
180	150
190	200
360	300
280	300
260	240

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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