Test Hypotheses Regarding Two Population Standard Deviations
- Test the Hypothesis That

question 116

Multiple Choice

Test Hypotheses Regarding Two Population Standard Deviations
- $$\mathrm { s } _ { 1 } = 20.8 , \mathrm { n } _ { 1 } = 16 , \mathrm {~s} _ { 2 } = 23 , \mathrm { n } _ { 2 } = 13 \text {; left-tailed test, } \alpha = 0.10$$
Test the hypothesis that $\sigma _ { 1 } < \sigma _ { 2 }$ at the $\alpha = 0.10$ level of significance for the given sample data.
$\begin{array}{l|cc} & \text { Population 1 } & \text { Population 2 } \\\hline \mathrm{n} & 16 & 13 \\\mathrm{~s} & 20.8 & 23\end{array}$

• A) Test statistic: \(\mathrm { F } = 0.82\). Critical value \(= 0.495\). Do not reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(\mathrm { F } = 0.82\). Critical value \(= 0.476\). Do not reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(\mathrm { F } = 0.82\). Critical value \(= 0.495\). Reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(\mathrm { F } = 0.82\). Critical value \(= 0.476\). Reject \(\mathrm { H } _ { 0 }\).

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