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

question 62

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. $$\begin{array} { l l l } \underline { \text { Brand A } } & \text { Brand B } & \text { Brand C } \\\overline { \frac { n } { x } } = 10 & \frac { n } { x } = 10 & \underline { n } = 10 \\s ^ { 2 } = 4.37 & s ^ { 2 } = 3.61 & s ^ { 2 } = 3.34\end{array}$$

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Definitions:

Signal Benefit

The advantage gained by individuals from communicating certain information to others, often in the context of mating or social interaction.

Eavesdropping

In animal behavior, the act of intercepting and using signals or communication between other individuals to one's own advantage.

Tail Length

The measured distance from the base to the tip of an animal's tail, often relevant in studies of animal behavior or morphology.

Honest Signals

Communicative actions or displays that convey accurate information about an organism's capabilities, intentions, or genetic quality to others.