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 67bpm. Use a 0.01 significance level. Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. H0:μ>67bpm H1:μ<67bpm B. H0:μ=67bpm H1:μ<67bpm C. H0:μ=67bpm H1:μ>67bpm D. H0:μ=67bpm H1:μ≠67bpm Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. (1) H0. There is (2) evidence to conclude that the mean of the population of pulse rates for adult females is (3) __67bpm. 1: Pulse Rate Data Pulse Rate (bpm) 94 54 76 40 60 58 70 44 94 56 79 39 88 68 52 39 45 66 74 64 38 73 63 54 57 35 82 49 74 93 44 104 40 43 83 75 90 55 44 47 80 90 94 67 75 90 53 41 56 102 (1) Reject OR Fail to reject (2) sufficient OR not sufficient (3) less than OR not greater than

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Description: 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 67bpm. Use a 0.01 significance level. Assuming all conditions for conducting a hypo

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 67bpm. Use a 0.01 significance level.

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

H0:μ>67bpm

H1:μ<67bpm

H0:μ=67bpm

H1:μ<67bpm

H0:μ=67bpm

H1:μ>67bpm

H0:μ=67bpm

H1:μ≠67bpm

Determine the test statistic.

______________

(Round to two decimal places as needed.)

Determine the P-value.

______________

(Round to three decimal places as needed.)

State the final conclusion that addresses the original claim.

(1) ______________H0. There is (2) ____________evidence to conclude that the mean of the population of pulse rates for adult females is

(3) ________________67bpm.

1: Pulse Rate Data


Pulse Rate (bpm)
94	54
76	40
60	58
70	44
94	56
79	39
88	68
52	39
45	66
74	64
38	73
63	54
57	35
82	49
74	93
44	104
40	43
83	75
90	55
44	47
80	90
94	67
75	90
53	41
56	102

(1)

Reject OR

Fail to reject

(2)

sufficient OR

not sufficient

(3)

less than OR

not

greater than

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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