Question

5. 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 13.2 mg and a standard deviation of 3.7 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.

6. The heights are measured for the simple random sample of supermodels Crawford, Bundchen, Pestova, Christenson, Hume, Moss, Campbell, Schiffer, and Taylor. Those heights have a mean of 70.0 in. and a standard deviation of 1.5 in. Use a 0.05 significance level to test the claim that supermodels have heights with a standard deviation less than 2.5 in.

Answer 1

For Q6. we cannot reject the null hypothesis since the TS> critical value which implies that the test statistic does not lie in the rejection region.