2.) Assume that 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 19.6 mg and a standard deviation of 3.52 mg. Use a 0.05 significance level to test the claim that the mean tar content of 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 anything, about the effectiveness of the filters? a. Identify the parameter. b. State the conditions and whether they have been met. c. Write down the null and alternative hypothesis. d. What is the value of a? e. Find the critical regionlrejection regionidraw the curver shade in the taills} II f. Calculate the test statistic. [Round to three decimal places as needed.) g. State the final conclusion that addresses the original claim. Choose the correct answer below. i. Fail to reject HO. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. ii. Fail to reject HO. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. iii. Reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg