Determine Whether the Samples Are Independent or Dependent

question 38

Essay

Determine whether the samples are independent or dependent.
-A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure,
measured in mm Hg, by following a particular diet. Use a significance level of 0.01 to test the claim that the
treatment group is from a population with a smaller mean than the control group. Use the traditional method of
hypothesis testing. $$\begin{array} { | c l | } \hline \text { Treatment Group } & \text { Control Group } \\ \mathrm { n } _ { 1 } = 101 & \mathrm { n } _ { 2 } = 105 \\\overline { \mathrm { x } } _ { 1 } = 120.5 & \overline { \mathrm { x } } _ { 2 } = 149.3 \\\mathrm {~s} _ { 1 } = 17.4 & \mathrm {~s} _ { 2 } = 30.2 \\\hline\end{array}$$

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Definitions:

Semispinalis Capitis

is a muscle of the back located beneath the trapezius, playing a key role in extending, rotating, and bending the head backwards.

Splenius Capitis

A muscle located in the back of the neck that functions in extending and rotating the head.

Mastication

The process of chewing food in preparation for swallowing and digestion.

Medial Pterygoid

A muscle of the jaw involved in the movement of the mandible, contributing to the chewing process.