Answered: Refer to the accompanying data set and…

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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Refer to the accompanying data set and construct a 95%confidence interval estimate of the mean pulse rate of adult females; then do the same for adult males. Compare the results.

1. Construct a 95%confidence interval of the mean pulse rate for adult females. ____ bpm<μ<____ bpm

(Round to one decimal place as needed.)

2. Construct a 95% confidence interval of the mean pulse rate for adult males.

_____ bpm<μ<____ bpm (Round to one decimal place as needed.)

Pulse Rates (beats per minute)
Males
Females
85
74
77
84
73
62
94
83
53
69
59
72
61
74
64
72
53
57
56
85
62
69
84
88
54
53
76
90
74
77
84
90
52
70
86
93
59
64
57
96
72
61
35
68
59
95
67
90
65
58
81
80
77
64
76
82
79
60
80
75
64
58
66
58
68
68
67
97
98
70
76
75
41
82
62
78
86
57
65
79

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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