A physician is evaluating a new diet for her patients with a family history of heart disease. To test the effectiveness of this diet, 16 patients are placed on the diet for 6 months. Their triglyceride levels are measured before and after the study, and the physician wants to know if the measurements have changed. Which of the following statements is true:The pre and post treatment values are independent of each other. The pre and post treatment values cannot be validly compared because they are not independent of each other. Post treatment values are randomly sampled from pre treatment values. This is a paired design with 2 repeated observations on each patient. MeannStd deviationStd error of meanPre-triglyceride138.441629.0407.260Post-triglyceride124.381629.4127.353 Paired t-testdata: dietstudystg0 and dietstudystg4t = 1.2, df = 15, p-value = 0.2487alternative hypothesis: true difference in means is not equal to 095 percent confidence interval:-10.91541 39.04041sample estimates:mean of the differences14.0625

In this study, each patient is measured twice: before and after the diet intervention. Since the…

Answered: A physician is evaluating a new diet…

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 physician is evaluating a new diet for her patients with a family history of heart disease. To test the effectiveness of this diet, 16 patients are placed on the diet for 6 months. Their triglyceride levels are measured before and after the study, and the physician wants to know if the measurements have changed. Which of the following statements is true:

The pre and post treatment values are independent of each other.
	The pre and post treatment values cannot be validly compared because they are not independent of each other.
	Post treatment values are randomly sampled from pre treatment values.
	This is a paired design with 2 repeated observations on each patient.

	Mean	n	Std deviation	Std error of mean
Pre-triglyceride	138.44	16	29.040	7.260
Post-triglyceride	124.38	16	29.412	7.353

Paired t-test
data: dietstudystg0 and dietstudystg4
t = 1.2, df = 15, p-value = 0.2487
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-10.91541 39.04041
sample estimates:
mean of the differences
14.0625

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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