Question 1: Another department of motor vehicles office claims that the mean wait time is at most 18 minutes. A random sample of 12 people has a mean wait time of 15 minutes with a standard deviation...

Extracted text: Question 1: Another department of motor vehicles office claims that the mean wait time is at most 18 minutes. A random sample of 12 people has a mean wait time of 15 minutes with a standard deviation of 2.2 minutes. At a = 0.05, test the office's claim. Assume the population is normally distributed. Question 2: A magazine article reported that 11% of adults buy takeout food every day. A fast-food restaurant owner surveyed 200 customers and found that 32 said that they purchased takeout food every day. At a = 0.05, is there evidence to believe the article's claim? Question 3: A tire manufacturer claims that the variance of the diameters in a certain tire model is 8.6. A random sample of 10 tires has a variance of 4.3. At a = 0.01, is there enough evidence to reject the manufacturer's claim?