# Question

Using van-mounted state of-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 x = .210, with a variance of s2 = .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.
b. Define a Type I error and a Type II error for this study.

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