Assume that a simple random sample has been selected from a normally distribution population and test the given claim. Identify the null and alternative hypotheses, test statistic, p-value, critical value(s), and state the final conclusion that addresses the original claim.
A simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.4mg and a standard deviation of 3.51mg. use a 0.05 significance level to test the claim that the mean tar content of filtered 100mm cigarettes is less than 21.1mg, which is the mean for unfiltered king size cigarettes. What do the results suggest, if anything, about the effectiveness of the filters?
What are the hypotheses?
Identify the test
The p-value
Identify the critical value(s)
The critical value(s) is(are)____
State the final conclusion that addresses the original claim