1.A cigarette manufacturer advertises that its new low-tar cigarette "contains on average no more than 4 mg. of tar" You have been asked to test the claim using the following sample information: Tar is a normally distributed random variable.

n = 25

x = 4.15

s = .3

Does the sample information significantly dispute the advertised claim?? Test at = .05.

2.A researcher wants to prove that a certain pill will cause people to lose weight on average. Which of the following would be the correct Alternate Hypothesis for the test if 0 is the average weight before treatment with the pill?

3.The following sample of 5 measurements was randomly selected from a normally distributed population: 4,7,3,4,6. Test the null hypothesis that the mean of the population is 6 against the alternate hypothesis that the mean is less than 6. Find the p-value and round to 4 decimal places.

3.