Researchers conducted an experiment to test the effects of alcohol. The errors were recorded in a test of visual and motor skills for a treatment group of 22 people who drank ethanol and another group of 22 people given a placebo. The errors for the treatment group have a standard deviation of 2.20, and the errors for the placebo group have a standard deviation of 0.72. Use a 0.05 significance level to test the claim that the treatment group has errors that vary more than the errors of the placebo group.
Assume that both samples are independent simple random samples from populations having normal distributions.