1.For the following, write out the claim that is suggested along with an appropriate conclusion about the claim. Do not use symbolic expressions or formal procedures here. Instead, use common sense.

a.The rate of Lyme disease cases in Clinton County is 2%. When 1000 people from that county are given a placebo, it is found that 22 of them contract Lyme disease. When 1000 people from that county are given a new experimental vaccine, it is found that 18 of them contract Lyme disease.

b.In a test of the polio vaccine, 200,000 children are given a placebo and 200,000 other children are given the Salk vaccine. Among those in the placebo group, 115 later develop polio. Among those given the Salk vaccine, 33 later develop polio.

2.The nighttime cold medicine Dozenol bears a label indicating the presence of 600 mg of acetaminophen in each fluid ounce of the drug. The Food and Drug Administration randomly selected 40 one-ounce samples and found that the mean acetaminophen content is 593 mg with standard deviation 21 mg. Using a significance level of 0.01, test the claim of the Medassist Pharmaceutical Company that the population mean is equal to 600 mg. Assume the amounts are approximately normally distributed.