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A sheriff cracks down on speeders. Following the crackdown, the sheriff takes a random sample (n...

A sheriff cracks down on speeders. Following the crackdown, the sheriff takes a random sample (n = 100) of vehicle speeds on the roadway. The sample data: sample mean, 47 mph; sample standard deviation, 8 mph. (i) Using the sample standard deviation as a substitute for the population standard deviation, what is the standard error of the sample mean? (ii) Using the ±2 shortcut, what is the 95 percent confidence interval of the sample mean?

2. A skeptical county commissioner claims that the crackdown had no effect and that average speed on the roadway is still 50 mph. (i) Is the skeptic on solid statistical ground? (ii) Explain how you know.”

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