A auto maker is interested in information about how long transmissions last. A sample of transmissions are run constantly and the number of miles before the transmission fails is recorded. The auto maker claims that the transmissions can run constantly for over 150,000 miles before failure.

Calculate value for P=? , calculate value for t=? , What condition is met for the use of a t

-distribution? calculate value for n=? , calculate value for x=? , Degrees of freedom=? ,

calculate value for s=?,

Use the results below to help finding the answers.

Mean=150.7, Variance= 4.551, Observations= 42, Hypothesized mean= 150, df= 41, t stat= 2.17, p(T<=t) one-tail= 0.018, t critical one-tail= 1.683, p(T<=t) two-tail= 0.036, t critical two-tail= 2.02, confidence level( 95.0%= 0.665)