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. The results of the sample are given below.

mean 151.2

variance 17.22

observations 44

hypothesized mean 150

df 43

t Stat 1.889

P(T<=t) one-tail 0.033

t Critical one-tail 1.681

P(T<=t) two-tail 0.066

t Critical two-tail 2.017

confidence level (95.0 %) 1.129

p=?

t=?

What condition is met for the use of a t-distribution? (the population is stated to not be skewed OR the sample size is larger than 30)

n=?

x=?

s=?

degrees of freedom=?