The effectives of two methods of teaching statistics is compared. A class of 24 students is randomly divided into two groups and each group is taught according to a different method. The test scores of the two groups at the end of the semester show the following characteristic:
n1=13; x(bar)=74.5; sx2= 82.6
n2=11; y(bar)=71.8; sy2= 112.6
Assuming underlying normal distributions with sigma^2=sigma^2, compute 90% confidence intervals for sigma^2/sigma^2, the ratio of the population variances.

Question

The effectives of two methods of teaching statistics is compared. A class of 24 students is randomly divided into two groups and each group is taught according to a different method. The test scores of the two groups at the end of the semester show the following characteristic: 
n1=13; x(bar)=74.5; sx2= 82.6 
n2=11; y(bar)=71.8; sy2= 112.6 
Assuming underlying normal distributions with sigma^2=sigma^2, compute 90% confidence intervals for sigma^2/sigma^2, the ratio of the population variances.