A simple random sample of 2525 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The...

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A simple random sample of
2525
filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of
19.419.4
mg and a standard deviation of
3.713.71
mg. Use a
0.050.05
significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than
21.121.1
mg, which is the mean for unfiltered king size cigarettes. What do the results suggest, if anything, about the effectiveness of the filters?

 

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