Test Hypotheses Regarding Two Population Standard Deviations
-Test the Hypothesis $\sigma _ { 1 } > \sigma _ { 2 }$

question 91

Multiple Choice

Test Hypotheses Regarding Two Population Standard Deviations
-Test the hypothesis that $\sigma _ { 1 } > \sigma _ { 2 }$ at the $\alpha = 0.01$ level of significance for the given sample data.
$\begin{array}{c|cc} & \text { Population 1 } & \text { Population 2 } \\\hline \mathrm{n} & 25 & 17 \\\mathrm{~s} & 5.76 & 2.21\end{array}$

• A) Test statistic: \(\mathrm { F } = 6.79\). Critical value: \(\mathrm { F } = 3.18\). Reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(\mathrm { F } = 6.79\). Critical value: \(\mathrm { F } = 3.18\). Do not reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(\mathrm { F } = 2.61\). Critical value \(= 1.87\). Reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(\mathrm { F } = 2.61\). Critical value \(= 3.18\). Do not reject \(\mathrm { H } _ { 0 }\).

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Definitions:

Synaptic Vesicle

Small structures within neurons that store neurotransmitters for release at the synapse.

Synaptic Cleft

The small gap between the presynaptic and postsynaptic neurons, across which neurotransmitters are released to communicate signals.

Presynaptic Membrane

A region of the neuron that releases neurotransmitters in response to an action potential.

Postsynaptic Membrane

The part of the neuron or muscle cell that receives signals from another neuron at a synapse.