Assume that a simple random sample has been selected from anormally distributed population and test the given claim. Identifythe null and alternative​ hypotheses, test​ statistic, P-value, andstate the final conclusion that addresses the original claim. Asimple random sample of 25 filtered 100 mm cigarettes is​ obtained,and the tar content of each cigarette is measured. The sample has amean of 18.8 mg and a standard deviation of 3.64 mg. Use a 0.05significance level to test the claim that the mean tar content offiltered 100 mm cigarettes is less than 21.1 mg, which is the meanfor unfiltered king size cigarettes. What do the results​ suggest,if​ anything, about the effectiveness of the​ filters?
What are the​ hypotheses?
Identify the test statistic.​(Round to three decimal places as​needed.)
Identify the​ P-value.
The​ P-value is(Round to four decimal places as​ needed.)
State the final conclusion that addresses the originalclaim.
What do the results​ suggest, if​ anything, about theeffectiveness of the​ filters?
