Random Samples from Two Normal Populations Produced the Following Statistics $n _ { 1 } =$

Essay

Random samples from two normal populations produced the following statistics: $n _ { 1 } =$ 25, $s _ { 1 } ^ { 2 } =$ 75. $n _ { 2 } =$ 13, $S _ { 2 } ^ { 2 } =$ 130.
Briefly explain how to use the 95% confidence the ratio of the two population variances to test the hypothesis of equal population variances.
LCL = ( $s _ { 1 } ^ { 2 } /$ $S _ { 2 } ^ { 2 }$ ) / F_0.025,24,12 = 0.191.
UCL = ( $s _ { 1 } ^ { 2 } /$ $S _ { 2 } ^ { 2 }$ )F_0.025,12,24 = 1.465.