Answered: A study examined the link between…

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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Question

A study examined the link between sodium intake and blood pressure in
children and adolescents between the ages of 8 and 18. The mean systolic
blood pressure (SBP) was 112.8 mm Hg among the 636 study participants who
were overweight or obese and consumed high levels of sodium. Based on this
data the researchers need to decide if they believe that the mean systolic
blood pressure for the group was higher than for other groups.

a. What would be a Type I error in this context? Your answer should
consist of both the researchers’ decision and what the reality is.

b. What would be a Type II error in this context? Your answer should
consist of both the researchers’ decision and what the reality is.

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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