Claim that unfiltered king-size cigarettes have a mean tar

Reference no: EM13102491

The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.1 mg, with a standard deviation of 3.2 mg. The mean tar content of a simple random sample of 25 filtered 100 mm cigarettes is 13.2 mg with a standard deviation of 3.7 mg.

Assume that the two samples are independent simple random samples, selected from normally distributed populations. Do not assume that the population standard deviations are equal, unless your instructor stipulates otherwise.

a. Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100 mm cigarettes.

b. What does the result suggest about the effectiveness of cigarette filters?

Reference no: EM13102491

Questions Cloud

Standard normal random variable probability : Find the probability that a standard normal random variable will assume a value between: Find a z such that 70% of the area is above that value.

Seminar on the importance of education in life : As an aid for improving students' study habit, nine students were randomly selected to attend a seminar on the importance of education in life. The table shows the number of hours each student studied per week before and after the seminar.

Find the first and second derivative : Find the first and second derivative with respect to x of f(x) = (exp(x/a)-exp(-x/a))/2, where exp(x)=e^x is the exponential function.

Determining probability-genetics : What is the probability that only the first child will have cystic fibrosis? What is the probability that they will have 2 normal sons and 1 daughter with cystic fibrosis?

Claim that unfiltered king-size cigarettes have a mean tar : Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100 mm cigarettes.

Probability calculation of blood donor : People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7% of the American population have O-negative blood.

Differentiate two articles of similar areas : The objective of essay is to take two articles in similar areas and differentiate them. Some helpful areas for comparison comprise asking how authors have approached subject.

Conducting one-sample t-test on data : Steve then conducts a one-sample t-test on the data, knowing that there is an established mean for the publication of others that have taken this test of 6.

Statistics-probability tree : A foreman for a firm admits that on 10% of his shifts he forgets to shut off the machine. This causes the machine to overheat and the probability that a defective mold will be produced during the early morning run increases from 2% to 20%.

User Account

All Pages