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

Multiple Choice

Calculate the test statistic F to test the claim that $$\sigma _ { 1 } ^ { 2 } > \sigma { } _ { 2 } ^ { 2 } .$$ Two samples are randomly selected from populations that are normal. The sample statistics are given below. $$\begin{array} { l l } \mathrm { n } _ { 1 } = 16 & \mathrm { n } _ { 2 } = 13 \\\\\mathrm {~s} _ { 1 } ^ { 2 } = 4800 & \mathrm {~s} _ { 2 } ^ { 2 } = 1875\end{array}$$

A) 2.560
B) 1.600
C) 0.391
D) 6.554