Show your calculation in detail explaining each step. Make sure to show the critical value and the statistical table, which points to the value you used for the answer as well as other values to have come to an answer.

1. A study found that the average stopping distance of a school bus travelling 50 miles per hour was 264 feet. A group of automotive engineers decided to conduct a study of its school busses and found that for 20 buses, the average stopping distance of buses traveling 50 miles per hour was 262.3 feet. The standard deviation of the population was 3 feet. Test the claim that the average stopping distance of the company's buses is actually less than 264 feet using P-value method. Use = 0.01. (Answer: Reject H0)
2. Explain in detail how you picked the P-value from the table.