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. Miles (1000s of miles) Mean 150.7 Variance 4.551 Observations 42 Hypothesized Mean 150 df 41 t Stat 2.17 p = Ex: 1.234 P(T<=t) one-tail 0.018 t Critical one-tail 1.683 P(T<=t) two-tail 0.036 t = Ex: 1.234 t Critical two-tail Confidence Level(95.0%) 0.665 2.02 What condition is met for the use of a t-distribution? v Pick The population is stated to be not skewed. n = Ex: 5 T = Ex: The sample size is larger than 30. Degrees of freedom = Ex: 5 s = Ex: 1.234

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.