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:

World Price

The worldwide market value of a good or service, shaped by international demand and supply forces.

Tariff

A tariff is a tax imposed by a government on goods and services imported from other countries, used to regulate trade, protect domestic industries, or generate revenue.

Welfare Loss

The decrease in social welfare, usually measured in terms of lost economic efficiency or satisfaction, due to factors like taxes or monopolies.

Import Quota

A restriction imposed by a government on the quantity of a specific good that can be imported into a country during a specified time period.