Answered: Refer to the accompanying data set and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Refer to the accompanying data set and construct a

90% confidence interval estimate of the mean pulse rate of adult females; then do the same for adult males. Compare the results.

1.Construct a 90%confidence interval of the mean pulse rate for adult females.

_____bpm<μ<____bpm

(Round to one decimal place as needed.)

2. Construct a 90% confidence interval of the mean pulse rate for adult males.

____bpm<μ<____ bpm

(Round to one decimal place as needed.)

3. Compare the results.

The confidence intervals overlap, so it appears that adult males have a significantly higher mean pulse rate than adult females.

The confidence intervals overlap, so it appears that there is no significant difference in mean pulse rates between adult females and adult males.

The confidence intervals do not overlap, so it appears that adult females have a significantly higher mean pulse rate than adult males.

The confidence intervals do not overlap, so it appears that there is no significant difference in mean pulse rates between adult females and adult males.

Pulse Rates (beats per minute)
Males
Females
87
70
82
84
75
65
97
84
52
69
57
72
62
74
63
73
54
54
56
85
60
68
84
88
55
59
80
87
76
80
91
88
89
50
73
90
64
65
53
92
69
61
37
70
59
95
68
90
62
59
81
80
77
67
76
82
82
58
81
72
65
57
64
58
66
69
65
100
95
71
81
76
43
85
60
74
86
56
66
75

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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