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According to the U.S. Federal Highway Administration, the mean number of miles driven annually is 12,200....

According to the U.S. Federal Highway Administration, the mean number of miles driven annually is 12,200. Patricia believes that residents of the state of Montana drive more than the national average. She obtains a sample of 35 drivers from a list of registered drivers in the state on Montana. The mean number of miles driven for the 35 drivers is 12,896. Assume σ = 3800 miles.

(a) What is the population? What is the sample?

(b) At α = 0.1 level of significance, determine whether there is evidence that residents of the population mean is more than the national average of 12,200 miles.

(c) Identify the type of error for your conclusion. Find the probability of error and probability of confidence if it is type I error.

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