Calculate the test statistic F to test the claim that $$\begin{array} { r }
\sigma_ { 1 }^ { 2 }\
\end{array} \neq \sigma_ { 2 }^ { 2 }$$ Two samples are randomly selected from populations that are normal. The sample statistics are given below. $$\begin{array} { l l }
\mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 18 \\
\mathrm {~s} _ { 1 } ^ { 2 } = 1.156 & \mathrm {~s} _ { 2 } ^ { 2 } = 0.52
\end{array}$$
A)2.223
B)1.490
C)4.933
D)0.450

Question

Calculate the test statistic F to test the claim that $$\begin{array} { r } 
\sigma_ { 1 }^ { 2 }\
\end{array} \neq \sigma_ { 2 }^ { 2 }$$ Two samples are randomly selected from populations that are normal. The sample statistics are given below. $$\begin{array} { l l } 
\mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 18 \\
\mathrm {~s} _ { 1 } ^ { 2 } = 1.156 & \mathrm {~s} _ { 2 } ^ { 2 } = 0.52
\end{array}$$
A)2.223
B)1.490
C)4.933
D)0.450

Quizplus · Accepted Answer

The test statistic F is calculated as the ratio of the two sample variances: $ F = \frac{s_1^2}{s_2^2} = \frac{1.156}{0.52} = 2.223 $.

Calculate the Test Statistic F to Test the Claim That σ12≠σ22\begin{array} { r } \sigma_ { 1 }^ { 2 }\\\end{array} \neq \sigma_ { 2 }^ { 2 }σ12​​=σ22​

Calculate the Test Statistic F to Test the Claim That $\begin{array} { r } \sigma_ { 1 }^ { 2 }\\\end{array} \neq \sigma_ { 2 }^ { 2 }$