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Name: Explain with example t Test for Two Population Means: Independent Samp
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Explain with example t Test for Two Population Means: Independent Samples (EPO Experiment).

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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Explain with example t Test for Two Population Means: Independent Samples (EPO Experiment).

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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Step 1

Two samples are said to be independent if the sample values selected from one population are not related to or somehow paired or matched with the sample values selected from the other population. If there is some relationship, the samples are dependent.

Independent samples t test:

The independent samples t-test can be used to examine a possible difference between the means of two independent samples under the following conditions:

The selected sample should be a simple random sample from two populations.
The samples are independent of one another.
The population is approximately normal.
Population variances or standard deviations are unknown.

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