Test the Claim That the Samples Come from Populations with the Same

question 27

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. Given the sample data below,
test the claim that the populations have the same mean. Use a significance level of 0.05. $$\begin{array} { c c c } \text { Brand A } & \text { Brand B } & \text { Brand C } \\\hline n = 10 & n = 10 & n = 10 \\\bar { x } = 32.1 & \bar { x } = 32.6 & \bar { x } = 27.2 \\s ^ { 2 } = 4.37 & s ^ { 2 } = 3.61 & s ^ { 2 } = 3.34\end{array}$$

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Definitions:

South Dakota

A U.S. state located in the Midwestern region, known for its rolling prairies, Badlands National Park, and the Mount Rushmore National Memorial.

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An economic term specific to the market demand among consumers who own Dodge brand vehicles, focusing on their specific need or desire for aftermarket products, services, or new models.

Buick Owner's Demand

The specific desire or requirement for goods and services by individuals or entities owning a Buick vehicle, influenced by factors like price, income, and personal preferences.

Gasoline

A volatile flammable liquid derived from petroleum, used primarily as fuel in internal combustion engines.