Considering a treadmill test given to patients being tested for high blood pressure, male patients took their pulse rates before and after running for 5 min. (a=1)Subject12345678910Pulse before641008a60928a688a8a68Pulse after6811a846810a9272888092 Using a 0.05 significance level, perform the 8-step hypothesis test to test the claim that the mean difference between the pulse rates before and after the run is significantly zero. Based on the result, do the male pulse rates taken before and after running appear to be about the same or not?

Hypothesis test to determine if the mean difference between the pulse rates before and after the run…

Answered: Considering a treadmill test given to…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Considering a treadmill test given to patients being tested for high blood pressure, male patients took their pulse rates before and after running for 5 min. (a=1)

Subject	1	2	3	4	5	6	7	8	9	10
Pulse before	64	100	8a	60	92	8a	68	8a	8a	68
Pulse after	68	11a	84	68	10a	92	72	88	80	92

Using a 0.05 significance level, perform the 8-step hypothesis test to test the claim that the mean difference between the pulse rates before and after the run is significantly zero. Based on the result, do the male pulse rates taken before and after running appear to be about the same or not?

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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