A simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar

Question

A simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 18.6mg and a standard deviation of 3.72 mg. Use a 0.05 signifigance level to test the claim that the mean tar content of filtered 100mm 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 simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 18.6mg and a standard deviation of 3.72 mg. Use a 0.05 signifigance level to test the claim that the mean tar content of filtered 100mm 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?

Explanation / Answer

Ho : miu = 21.1

Ha : miu < 21.1

t = ( 18.6 - 21.1 ) / ( 3.72 / srqt 25 )

t = -3.36

for alpha = 0.05 df = 24 crticalva lue : -1.711

since t < critical value we reject Ho

conclusion

the mean is less than 21.1

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