The Ohio State Patrol is sampling vehicle speeds at various locations along I-75 near Rossford. At a particular location a sample of 36 vehicles showed a mean speed of 68.2 miles per hour. At a 0.01 significance level can we conclude that the mean speed of all vehicles at this location is greater than 65 miles per hour? Assume a population standard deviation of 7.8 miles per hour.
1. What is the value of the test statistics?
2. What is the p-value of the test
3. What is your conclusion