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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

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 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

What condition is met for the use of a t-distribution?

n=?

x=?

s=?

degrees of freedom=?

p=?

t=?

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