A production manager is interested in comparing the precision of two brands of stamping machines. From a random sample of 12 units of output from the Brand A machine, a standard deviation of 15.2 is reported for a quality characteristic. For the Brand B machine, in a sample of 20 units of output, there is a standard deviation of 10.1. Is there sufficient evidence at the 5% significance level to conclude that Brand B machines have a lower variance in quality? Assume that the quality characteristic of both machines follows a normal distribution.