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:

Neuromuscular Excitability

The ability of a muscle and its corresponding nerves to respond to stimuli, crucial for muscle contraction.

Increased Osmolality

A higher concentration of solutes in a solution, leading to increased osmotic pressure and potentially affecting cellular processes and fluid balance.

Extracellular Fluid

A fluid that surrounds cells and forms part of the body's internal environment, facilitating the transport of nutrients, oxygen, and waste products.

ADH

Antidiuretic hormone, a hormone that regulates water balance in the body by increasing the kidneys' ability to reabsorb water.