Answered: It is believed that regular exercise…

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

It is believed that regular exercise leads to a lower resting pulse rate. Following are data for 20 individuals on resting pulse rate and whether the individuals regularly exercise or not.

Assuming this is a random sample from a large population, use this sample to determine whether the mean pulse is lower for those who exercise.

Person Pulse
72
62
72
84
Regularly
Exercises
No
Yes
Yes
3
4
No
5
Yes
Yes
60
63
66
72
75
64
62
84
76
60
6
7
No
No
Yes
Yes
No
8
9.
10
11
12
No
No
Yes
13
14
15
52
60
Yes
16
No
17
64
Yes
18
80
Yes
19
68
Yes
20
64
Yes

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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