Question: QUESTIONS 22-23 refer to a statistician studying speeding traffic for the National Transportation and Safety Administration. In a preliminary sample of 12 cars on a certain stretch of interstate highway he finds that the average speed is 74.3 miles per hour with a sample standard deviation of 4.8 miles per hour. He will use this data to give a 90 percent confidence interval for true mean speed of traffic on this stretch of interstate and also to try to show that on average the traffic exceeds the 70 mile per hour speed limit.

Given he does not know the population standard deviation, then what is the p-value or significance of his data as evidence in favor of the conclusion that the true mean speed exceeds 70 miles per hour? What distribution is used to compute this p-value?

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