A cigarette company claims that the true mean tar content for its cigarettes is less than 15 mg. The tar contents (in mg) for a sample of 10 randomly selected cigarettes are shown below: 14.3 14.7 15.2 14.8 15.1 14.6 14.8 15.6 14.5 15.1 Tar content for this company's cigarettes is known to follow a normal distribution with standard deviation 0.3 mg. (a) Conduct a hypothesis test at the 10% level of significance to verity the company's claim. Show all your steps. (b) Provide an interpretation of the P-value of the test in (a).