Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills for a treatment group of 28 people who drank ethanol and another group of 28 people given a placebo. The errors for the treatment group have a standard deviation of 2.30, and the errors for the placebo group have a standard deviation of 0.82. Assume that the two populations are normally distributed. Use a 0.05

significance level to test the claim that both groups have the same amount of variation among the errors.

Let sample 1 be the sample with the larger sample variance and let sample 2 be the sample with the smaller sample variance. What are the null and alternative hypotheses?

Identify the test statistic.

Use technology to identify the P-value

What is the conclusion for this hypothesis test?