Answered: Pair each scenario with the appropriate…

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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Pair each scenario with the appropriate statistical test that you would conduct by using the pull-down menu to the left of each statement and selecting the number that matches your answer from the choices on the right. Each item is worth half a point, for a total of 4 extra credit points.

Group of answer choices

Looking at frequencies to compare how the data fit what we expect in the population

Looking at differences between means with one group compared to the population for which we know the population mean and standard deviation

Looking at differences between means with two groups/conditions (population information is not known), and different people are in each condition

Looking at differences between means with two groups/conditions (population information is unknown), and the same people are in both conditions

Looking at the relationship between two continuous variables

Looking at differences between means with one variable that has more than two conditions, and where participants experience every condition

Looking at differences between means with more than one variable, where the variables can be independent or related, or both

Looking at differences between means with one independent variable that has more than two conditions, and where participants experience only one condition of the variable

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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