Use the 5% Significance Level to Test the Hypotheses $H _ { 0 } :$

question 61

Essay

Use the 5% significance level to test the hypotheses $H _ { 0 } :$ The two population locations are the same $H _ { 1 } :$ The location of population A is to the right of the location of population B,
given that the data below are drawn from two independent samples: $$\begin{array} { | l | r | r | r | r | r | r | r | r | } \hline \text { Sample A: } & 9 & 11 & 9 & 10 & 12 & 8 & 5 & \\\hline \text { Sample B: } & 8 & 7 & 5 & 7 & 9 & 5 & 6 & 8 \\\hline\end{array}$$

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Definitions:

Choroid Plexus

A network of cells in the ventricles of the brain responsible for producing cerebrospinal fluid.

Cerebrospinal Fluid

A clear, colorless body fluid found in the brain and spinal cord, serving as a cushion and participating in nutrient delivery and waste removal.

Cushion

A soft, padded object typically used for sitting, kneeling, or lying on for comfort or support, often found as part of furniture or decorative items.

Coordination of Movement

The harmonious functioning of muscles and nerves to produce smooth, controlled movements.