Determine Whether the Samples Are Independent or Dependent Use a Significance Level of 0

question 54

Essay

Determine whether the samples are independent or dependent.
-A researcher wishes to determine whether the blood pressure of vegetarians is, on average, lower than the
blood pressure of nonvegetarians. Independent simple random samples of 85 vegetarians and 75
nonvegetarians yielded the following sample statistics for systolic blood pressure: $$\begin{array} { | l l | } \hline \text { Vegetarians } & \text { Nonvegetarians } \\\mathrm { n } _ { 1 } = 85 & \overline { \mathrm { n } _ { 2 } } = 75 \\\overline { \mathrm { x } _ { 1 } } = 124.1 \mathrm { mmHg } & \mathrm { x } _ { 2 } = 138.7 \mathrm { mmHg } \\\mathrm { s } _ { 1 } = 38.7 \mathrm { mmHg } & \mathrm { s } _ { 2 } = 39.2 \mathrm { mmHg } \\\hline\end{array}$$ Use a significance level of 0.01 to test the claim that the mean systolic blood pressure of vegetarians is lower
than the mean systolic blood pressure of nonvegetarians. Use the P-value method of hypothesis testing.

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Definitions:

Muscle Damage

Harm or injury to muscle fibers, often resulting from physical activities, accidents, or medical conditions, which can lead to pain, swelling, and decreased function.

Enzyme

A complex chemical substance produced by the body, found primarily in the digestive juices, that acts upon food substances to break them down for absorption.

Plaque

A sticky deposit on teeth in which bacteria proliferate, or a substance that accumulates in the arteries leading to atherosclerosis; can also refer to an ornamental plate or tablet.

Cholesterol Levels

Measurements of the total amount of cholesterol in the blood, including HDL (good) cholesterol and LDL (bad) cholesterol, important for assessing heart disease risk.