Find the Test Statistic F to Test the Hypothesis That

question 1

Multiple Choice

Find the test statistic F to test the hypothesis that the populations have the same mean. Use α = 0.05. $$\begin{array} { l l l } \hline \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } \\\hline \mathrm { n } _ { 1 } = 8 & \mathrm { n } _ { 2 } = 8 & \mathrm { n } _ { 3 } = 8 \\\overline { \mathrm { x } } 1 = 3.0 & \overline { \mathrm { x } } 2 = 2.6 & \overline { \mathrm { x } } 3 = 2.6 \\\mathrm {~s} _ { 1 } = 0.50 & \mathrm {~s} _ { 2 } = 0.60 & \mathrm {~s} 3 = 0.55\end{array}$$

• A) 1.403
• B) 1.021
• C) 1.182
• D) 0.832

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Definitions:

Gametic Isolation

A prezygotic reproductive barrier where gametes (egg and sperm) from different species are unable to fuse and form a viable zygote.

Mechanical Isolation

A form of reproductive isolation where differences in the size, shape, or incompatible genitalia prevent mating between species.

Hybrid Inviability

A postzygotic barrier where hybrid offspring fail to survive to reproductive age.

Gestational Abortion

The termination of a pregnancy during the gestation period, often due to natural causes such as chromosomal abnormalities.