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
86
73
81
81
72
61
93
80
51
74
55
70
63
70
64
75
54
52
57
84
60
68
83
87
51
57
76
85
76
80
88
91
51
71
90
93
65
61
54
95
70
66
39
69
57
95
67
91
64
58
83
85
80
65
73
80
79
56
78
76
66
59
64
54
63
69
68
100
97
67
76
73
41
85
58
73
88
56
62
74

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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