Question

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, 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 19.0 mg and a standard deviation of 3.51 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? What are the​ hypotheses? B. Upper H0​: μ equals = 21.1 mg Upper H1​: μ less than < 21.1 mg Your answer is correct. Identify the test statistic. t equals = negative −2.991 ​(Round to three decimal places as​ needed.) Identify the​ P-value. The​ P-value is ----- . ​(Round to four decimal places as​ needed.)

Answer 1