Question


The manufacturer of a new cigarette claims that the average tar content per cigarette is 10.0 mg. The US Center for Smoking Research believes the tar content per
cigarette is greater than 10 mg and wishes to conduct a study to support their claim. They
take a random sample of 25 cigarettes from the production line and find an average of 10.20
mg of tar/cigarette and a standard deviation of .5 mg. Can the manufacturer’s claim be
refuted at the 0.01 level of significance?

A. State H o : ___________
B. State H A : ___________
C. Is this a one-tail or two-tail test? __________
D. What is (are) the critical value(s)? __________
E. What is the decision rule? __________________________________________________
F. Calculate the t statistic:


t = x̄ - µ m/ s/√n

G. What is your decision regarding H 0 and why? __________________________________
H. Interpretation of the results: ________________________________________________
__________________________________________________________________________

Math   Statistics-And-Probability   
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