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# Hypothesis Testing of Mean: Tar content in cigarettes

Hypothesis Testing for Cigarette Tax:

The mean tar content of a simple random sample of 25 unfiltered king size cigarettes is 21.1 mg, with a standard deviation of 3.2 mg. The mean tar content of a simple random sample of 25 filtered 100 mm cigarettes is 13.2 mg with a standard deviation of 3.7 mg.

Use a 0.05 significance level to test the claim that unfiltered king size cigarettes have a mean tar content greater than that of filtered 100 mm cigarettes. What does the result suggest about the effectiveness of cigarette filters?

[Let population 1 be unfiltered king-size cigarettes.]

H0:

H1:

CV/CVs: t=

Test Statistic [Show procedure.] t =

P-value (optional) [Show a range of t values according to Table A-3.]

Conclusion (i.e. decision) on H0:

Final Conclusion on the claim by using Figure 8-7.

#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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