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Name: A large national study conducted in 2004 found that the mean systolic
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Description: A large national study conducted in 2004 found that the mean systolic blood pressure for males aged 50 was 130. Researchers hypothesize that due to increased stress in the workplace, systolic blood pressures have increased. In order to test this 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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A large national study conducted in 2004 found that the mean systolic blood pressure for males aged 50 was 130. Researchers hypothesize that due to increased stress in the workplace, systolic blood pressures have increased. In order to test this hypothesis a random sample of 200 males aged 50 in 2018 was selected and found to have a mean systolic blood pressure of 136 with a standard deviation of 15. Is there evidence the mean blood pressure has increased? Use α=.05.

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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