Answered: oretta, who turns 91 this year, has…

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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Question

Loretta, who turns

this year, has heard that the mean systolic blood pressure among the elderly is

120

millimeters of mercury (

mm Hg

), but she believes that the actual value is higher. She bases her belief on a recently reported study of

randomly selected, elderly adults. The sample mean systolic blood pressure of the adults in the study was

130

mm Hg

, and the sample standard deviation was

mm Hg

Assume that the population of systolic blood pressures of elderly adults is normally distributed. Based on the study, at the

0.05

level of significance, can it be concluded that

, the mean systolic blood pressure among elderly adults, is greater than

120

mm Hg

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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