## Question

###### A market researcher is doing a study about tar contents incigarettes. A random sample of 21 filtered king-size cigarettesresulted in a sample mean tar content of 13. 3 mg with acorresponding standard deviation of 3. 7 mg. Another independentrandom sample of 8 nonfiltered king-size cigarettes resulted in asample mean tar content of 24 mg with a corresponding standarddeviation of 1. 7 mg. Test whether the data provides enoughevidence to conclude that the true mean tar content of nonfilteredcigaret

A market researcher is doing a study about tar contents in cigarettes. A random sample of 21 filtered king-size cigarettes resulted in a sample mean tar content of 13. 3 mg with a corresponding standard deviation of 3. 7 mg. Another independent random sample of 8 nonfiltered king-size cigarettes resulted in a sample mean tar content of 24 mg with a corresponding standard deviation of 1. 7 mg. Test whether the data provides enough evidence to conclude that the true mean tar content of nonfiltered cigarettes is significantly higher than the mean tar content of filtered cigarettes. Set up the null and alternative hypothesis. Estimate the p-value of the test and give your conclusion using a significance level of 0. 01.

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