Answered: Age In a study of how depression may…

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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Age In a study of how depression may affect one’s abil-
ity to survive a heart attack, the researchers reported the

ages of the two groups they examined. The mean age
of 2397 patients without cardiac disease was 69.8 years

1SD = 8.7 years2, while for the 450 patients with car-
diac disease, the mean and standard deviation of the ages

were 74.0 and 7.9, respectively.
a) Create a 95% confidence interval for the difference in
mean ages of the two groups.
b) How might an age difference confound these research
findings about the relationship between depression
and ability to survive a heart attack?

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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