A research engineer for a tire manufacturer is investigating tire life for a new rubber compound and has built 16 tires and tested them to end-of-life in a road test. The sample mean and standard deviation respectively are 60,139.7 and 3,645.94 kilometers. The engineer would like to demonstrate that the mean life of this new tire is in excess of 60,000 kilometers. 1). Test the hypothesis H₀: = 4,000 versus H₁: < 4,000. Can you conclude that the standard deviation of tire life is less than 4,000 kilometers at = 0.05?

2). The P-value for the test in Question 1