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To Test Whether or Not There Is a Difference Between

question 47

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To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.You are given the results below.  Treatment  Observations  A 20302533 B 22262028C40302822\begin{array}{lllll}\text { Treatment } &&{\text { Observations }} \\\text { A } & 20 & 30 & 25 & 33 \\\text { B } & 22 & 26 & 20 & 28 \\\mathrm{C} & 40 & 30 & 28 & 22\end{array}
The test statistic to test the null hypothesis equals


Definitions:

Sample Variance

A measure of the dispersion or variability in a sample data set, calculated as the average squared deviation of each number from the mean of the data set.

Negative

A term used to describe values, numbers, or expressions that are less than zero, often indicating a direction opposite to what is considered positive.

Positive

A term indicating a value greater than zero, or a positive direction or effect.

Sample Mean

The average value of a random sample taken from a population.

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