Calculate the test statistic F to test the claim that $$\sigma _ { 1 } ^ { 2 } \geq \sigma _ { 2 } ^ { 2 }$$ Two samples are randomly selected from populations that are normal. The sample statistics are given below. $$\begin{array} { l l }
\mathrm { n } _ { 1 } = 13 & \mathrm { n } _ { 2 } = 12 \\
\mathrm {~s} _ { 1 } ^ { 2 } = 35.224 & \mathrm {~s} _ { 2 } ^ { 2 } = 28.083
\end{array}$$
A)1.254
B)0.797
C)1.573
D)1.120

Question

Calculate the test statistic F to test the claim that $$\sigma _ { 1 } ^ { 2 } \geq \sigma _ { 2 } ^ { 2 }$$ Two samples are randomly selected from populations that are normal. The sample statistics are given below. $$\begin{array} { l l } 
\mathrm { n } _ { 1 } = 13 & \mathrm { n } _ { 2 } = 12 \\
\mathrm {~s} _ { 1 } ^ { 2 } = 35.224 & \mathrm {~s} _ { 2 } ^ { 2 } = 28.083
\end{array}$$
A)1.254
B)0.797
C)1.573
D)1.120

Quizplus · Accepted Answer

The test statistic F is calculated by dividing the larger sample variance by the smaller sample variance. Here, $s_1^2 = 35.224$ and $s_2^2 = 28.083$, so $F = \frac{35.224}{28.083} = 1.254$.

Calculate the Test Statistic F to Test the Claim That σ12≥σ22\sigma _ { 1 } ^ { 2 } \geq \sigma _ { 2 } ^ { 2 }σ12​≥σ22​

Calculate the Test Statistic F to Test the Claim That $\sigma _ { 1 } ^ { 2 } \geq \sigma _ { 2 } ^ { 2 }$