Test the Claim That the Samples Come from Populations with the Same

question 63

Essay

Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance.
-The data below represent the weight losses for people on three different exercise programs.
$\begin{array} { l } \text {Exercise A }& \text { Exercise B}& \text { Exercise C}\\\hline2.5&5.8&4.3\\8.8&4.9&6.2\\7.3&1.1&5.8\\9.8&7.8&8.1\\5.1&1.2&7.9\end{array}$

At the 1% significance level, does it appear that a difference exists in the true mean weight loss produced by the three exercise programs?

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Definitions:

Midplane

An imaginary plane that divides a body into two equal halves, commonly used in anatomy and developmental biology to describe symmetry.

Bacterial Chromosome

The self-replicating genetic structure of bacteria, usually a circular DNA molecule containing all the necessary information for the life of the cell.

Circular DNA

DNA that is structured in a loop or circle, commonly found in bacteria and some eukaryotes, distinct from the linear DNA of most eukaryotic organisms.

Linear DNA

DNA molecules that exist in a straight or linear form, as opposed to circular DNA found in some bacteria and the mitochondria of eukaryotes.