Find the critical value $$\mathrm { F } _ { 0 }$$ to test the claim that $$\sigma _ { 1 } ^ { 2 } \leq \sigma _ { 2 } ^{ 2 } $$ Two samples are randomly selected from populations that are normal. The sample statistics are given below. Use α $$\alpha = 0.05 \text {. }$$ $$\begin{array} { l l }
\mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 15 \\
\mathrm {~s} _ { 1 } ^ { 2 } = 8.41 & \mathrm {~s} _ { 2 } ^ { 2 } = 7.84
\end{array}$$
A)2.46
B)3.66
C)2.95
D)2.40

Question

Find the critical value $$\mathrm { F } _ { 0 }$$ to test the claim that $$\sigma _ { 1 } ^ { 2 } \leq \sigma _ { 2 } ^{ 2 } $$ Two samples are randomly selected from populations that are normal. The sample statistics are given below. Use α $$\alpha = 0.05 \text {. }$$ $$\begin{array} { l l } 
\mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 15 \\
\mathrm {~s} _ { 1 } ^ { 2 } = 8.41 & \mathrm {~s} _ { 2 } ^ { 2 } = 7.84
\end{array}$$
A)2.46
B)3.66
C)2.95
D)2.40

Quizplus · Accepted Answer

The critical value for a one-tailed test with α = 0.05 and degrees of freedom (15, 14) is 2.46.

Find the Critical Value F0\mathrm { F } _ { 0 }F0​

Find the Critical Value $\mathrm { F } _ { 0 }$