The table lists means and standard deviations. The mean is the number before the plus/minus, and the standard deviation is the number after the plus/minus. The results are from a study attempting to find the average blood pressure of older adults. Use the results to answer the questions. NormotensiveHypertensive Men(n=1200)Women(n=1400)Men(n=1100)Women(n=1300)Age55±1055±1060±1064±10Blood Pressure Systolic123±9121±11153±17156±20Diastolic78±776±791±1088±10Apply Chebyshev’s theorem to the systolic blood pressure of normotensive men. At least how many of the men in the study fall within 2 standard deviation of the mean? At least how many of those men in the study fall within 3 standard deviations of the mean? Assume that blood pressure is normally distributed among older adults. Answer the following questions, using the empirical rule instead of Chebyshev’s theorem.Give ranges for the diastolic blood pressure (normotensive and hypertensive) of older women. Do the normotensive, male, systolic blood pressure ranges overlap with the hypertensive, male, systolic blood pressure ranges?

Given, Age Systolic Diastolic Men (n = 1200) Women (n = 1400) Normotensive 55 ± 10 55 ±…

Answered: The table lists means and standard…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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The table lists means and standard deviations. The mean is the number before the plus/minus, and the standard deviation is the number after the plus/minus. The results are from a study attempting to find the average blood pressure of older adults. Use the results to answer the questions.

	Normotensive	Hypertensive
	Men (n=1200)	Women (n=1400)	Men (n=1100)	Women (n=1300)
Age	55±10	55±10	60±10	64±10
Blood Pressure
Systolic	123±9	121±11	153±17	156±20
Diastolic	78±7	76±7	91±10	88±10

Apply Chebyshev’s theorem to the systolic blood pressure of normotensive men. At least how many of the men in the study fall within 2 standard deviation of the mean?
At least how many of those men in the study fall within 3 standard deviations of the mean?

Assume that blood pressure is normally distributed among older adults. Answer the following questions, using the empirical rule instead of Chebyshev’s theorem.

Give ranges for the diastolic blood pressure (normotensive and hypertensive) of older women.
Do the normotensive, male, systolic blood pressure ranges overlap with the hypertensive, male, systolic blood pressure ranges?

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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