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When Comparing Two Population Means Using Data That Are Gathered μ\mu

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When comparing two population means using data that are gathered from a matched pairs experiment,the test statistic for μ\mu D is Student t-distributed with v = nD -1 degrees of freedom,provided that the differences are normally distributed.


Definitions:

Simple Linear Regression

A method for modeling the relationship between a single independent variable and a dependent variable by fitting a linear equation to observed data.

Confidence Interval Estimate

A statistical method used to express the uncertainty associated with a sample statistic by specifying an interval likely to encompass the true population parameter.

Standard Error

A statistic that measures the accuracy with which a sample distribution represents a population.

Sample Size

The number of observations or replicates included in a sample from a population for the purpose of statistical analysis.

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