Cracks in highway pavement. Using van-mounted stateof the art video technology, the Missis...

Cracks in highway pavement. Using van-mounted stateof the art video technology, the Mississippi Department of Transportation collected data on the number of cracks (called crack intensity ) in an undivided two-lane highway. ( Journal of Infrastructure Systems , March 1995). The mean number of cracks found in a sample of eight 50-meter sections of the highway was  with a variance of s =.011. Suppose the American Association of State Highway and Transportation Officials (AASHTO) recommends a maximum mean crack intensity of.100 for safety purposes.

a. Test the hypothesis that the true mean crack intensity of the Mississippi highway exceeds the AASHTO recommended maximum. Use α =.01.

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b. Define a Type I error and a Type II error for this study.