Answered: 12.18 Severe anxiety often accompanies…

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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12.18 Severe anxiety often accompanies patients who must undergo chronic hemodialysis. A study was undertaken to determine the effects of a set of progressive relaxation exercises on anxiety in hemodialysis patients. The treatment group consisted of 38 subjects who were shown a set of progressive relaxation videotapes. The control group was made up of 23 patients shown a set of neutral videotapes. A psychiatric questionnaire that measured anxiety revealed the posttest results reported in Table 12.14.m Test the mean difference for significance

Group N. Mean. Std Dev

Experimental. 38. 33.42. 10.18

Control. 23. 39.71. 9.16

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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