Question: Refer to the sample results that are listed below, for the measured nicotine contents of randomly selected filtered and non-filtered king size cigarettes. Use a significance level of 0.05, to test the claim that king size filters have a lower mean amount of nicotine that the mean amount of nicotine in non filtered king size cigarettes.

Filtered Kings Non-Filtered Kings

n ₁ = 21 n ₂ = 8

\({{\bar{X}}_{1}}=0.94\) \({{X}_{2}}=1.65\)

s ₁ = 0.31 s ₂ = 0.36

1. State the null and alternative hypothesis
2. Find the t-statistics
3. Find the critical value
4. Construct a 90% confidence interval for the difference between two means
5. Do cigarette filters appear to be effective at reducing nicotine?

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