Reference no: EM132191904

The Federal Trade Commission provided measured tar contents (in mg) of randomly selected filtered and nonfiltered king-size cigarettes. A random sample of 21 filtered king-size cigarettes has a mean tar content of 13.3 mg with standard deviation 3.7 mg. A random sample of 8 nonfiltered king-size cigarettes has a mean tar content of 24.0 mg with standard deviation 1.7 mg. Assuming unequal variances between the two populations of cigarettes, you need to test the claim that the mean amount of tar in filtered king-size cigarettes is less than the mean amount of tar in nonfiltered king-size cigarettes at a 0.05 significance level. What type of statistical test should I use and what should I use for the value of the test statistic?