Question

A researcher is interested in whether the true concentration of nicotine in cigarettes (in milligrams) is...

A researcher is interested in whether the true concentration of nicotine in cigarettes (in milligrams) is equal to the claimed amount of 1mg. This researcher provides the following 95% confidence interval for the amount of nicotine based on the analysis of 35 cigarettes: (0.857, 1.124).

a. Provide and interpretation of this interval.

b. Explain how this interval can be used to test the researcher’s hypothesis

c. State the conclusion of that hypothesis test.

Homework Answers

Answer #1

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a. The 95% interval is (0.857, 1.124).

Confidence interval is a estimate of a population parameter. At a certain confidence level we say that the actual population parameter lies within an interval. So, a interval of (0.857,1.123) is interpreted as : We are 95% confident that the actual true concentration of nicotine in Cigarettes lies in this interval , between .857 and 1.124

b. This interval can be used by knowing whether a claimed amount lies within this interval. if it does, then the we fail to reject the null hypothesis, i.e. say that claim is correct. Here' 1 mg claim lies between 0.857 and 1.124, and thus we conclude that the claim can't be rejected, so its' "correct".

c. Conclusion:

true concentration of nicotine in cigarettes (in milligrams) is equal to the claimed amount of 1mg.

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