A statistician seeks to put a 55 mph speed limit on a local road due to the high speeds on it. Collecting data from a random sample of 40 cars, he found the average speed to be 58.56 with a standard deviation of 4.23. a) Is it appropriate to create a confidence interval from this data? b) Regardless of your answer from Part a, find the 96% confidence interval for this data set. Calculator Commands and Input: Interval: c) The statistician will push for the speed limit if the average speed is over 55 mph. Can he do so? Explain your answer.

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