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:

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a particular price.

Maximum Price

The highest possible price that can be charged for a good or service, often regulated by law.

Equilibrium Price

The price at which the supply of an item equals the demand for that item within a market, resulting in economic equilibrium.

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a specific price level, at a given time.