Assume that a simple random sample has been selected from a normal distribution population and test the given claim. Identify the null and alternative hypothesis test statistics P value and state the final conclusion that addresses the original claim . A simple random sample of 25 filtered 100 mm cigarettes is obtained , and The tar content of each cigarette is measured. The sample has a mean of 18.8 mg and a standard deviation of 3.67 mg . Use a 0.05 significance level to test the claim that the mean tar content of a filtered 100 mm cigarettes is less than 21.1 mg which is the mean for unfiltered king-size cigarettes what do the results suggest if any about the effectiveness of the filters