## (Solution document) a) Use a .05 level of significance to test the claim that the mean amount of tar in filtered king-size cigarettes is less than the mean amount of tar...

a) Use a .05 level of significance to test the claim that the mean amount of tar in filtered king-size cigarettes is less than the mean amount of tar for non-filtered kin-size cigarettes. Assume the variances are different.

Tar(mg) Tar(mg)

Filt nonFilt

n1 = 31 n2 = 35

x1 = 13.3 x2 = 24

s1 = 3.7 s2 = 1.7

claim .................................................... ________________________

null hypothesis........................................ ________________________

alternative hypothesis................................ ________________________

Calculator Screen Name........................... ________________________

test statistic .............................. ________________________

pvalue/alpha comparison............................ ________________________

decision ............................... ________________________

Conclusion ............................... ________________________

b) Construct a 95% confidence interval for µ1 ? µ2 . Interpret the interval in a complete sentence.

Confidence Interval Name__________________________________

Interval___________________________________________

Interpret_____________________________________________

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