(Answered) Mean speed of a random sample

Statistics

Problem: In a highway construction zone with a posted speed limit of 40 miles per hour the speeds of all vehicles are normally distributed with a mean of 46 mph and standard deviation of 3 mph. Find the probability that the mean speed of a random sample of 20 cars Traveling through this construction zone is more than 45 mph. Provide your rationale and any supporting data.

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