Use the pulse rates in beats per minute (bpm) of a random sample of adult females listed in the data set available below to test the claim that the mean is less than 79 bpm. Use a 0.05 significance level. LOADING... Click the icon to view the pulse rate data. Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. H0: μ=79 bpm H1: μ≠79 bpm B. H0: μ>79 bpm H1: μ<79 bpm C. H0: μ=79 bpm H1: μ<79 bpm D. H0: μ=79 bpm H1: μ>79 bpm Determine the test statistic. nothing (Round to two decimal places as needed.) Determine the P-value. nothing (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. ▼ Reject Fail to reject H0. There is ▼ not sufficient sufficient evidence to conclude that the mean of the population of pulse rates for adult females is ▼ greater than not less than 79 bpm. Pulse Rate (bpm) 87 45 43 76 66 90 105 78 83 86 54 71 101 77 90 72 95 100 62 57 98 78 80 83 39 88 65 90 82 36 102 86 82 44 37 69 90 89 70 36 53 38 60 68 40 45 91 66 86 77

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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Use the pulse rates in beats per minute (bpm) of a random sample of adult females listed in the data set available below to test the claim that the mean is less than

bpm. Use a

0.05

significance level.

Click the icon to view the pulse rate data.

Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?

H0:

μ=79

bpm

H1:

μ≠79

bpm

H0:

μ>79

bpm

H1:

μ<79

bpm

H0:

μ=79

bpm

H1:

μ<79

bpm

H0:

μ=79

bpm

H1:

μ>79

bpm

Determine the test statistic.

nothing

(Round to two decimal places as needed.)

Determine the P-value.

nothing

(Round to three decimal places as needed.)

State the final conclusion that addresses the original claim.

▼

Reject

Fail to reject

H0.

There is

▼

not sufficient

sufficient

evidence to conclude that the mean of the population of pulse rates for adult females is

▼

greater than

not

less than

bpm.


Pulse Rate (bpm)
87	45
43	76
66	90
105	78
83	86
54	71
101	77
90	72
95	100
62	57
98	78
80	83
39	88
65	90
82	36
102	86
82	44
37	69
90	89
70	36
53	38
60	68
40	45
91	66
86	77

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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