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Mathematics, 21.10.2020 17:01 heyyy6096

Car Fuel Economy – Each year a trio of government agencies publishes a fuel economy guide for all of the current model year of cars. For the current 2014 model year, the population mean highway fuel efficiency was 27.5 mpg, and the population standard deviation was 6.4 mpg. The underlying distribution for highway fuel efficiencies for the population of all 2014 model year cars is unimodal and skewed to the right. Suppose we take a sample of 50 current 2014 model cars and compute the sample mean. The central limit theorem tells us that the distribution for possible values of this sample mean is N(27.5, 0.905). What is the probability that the resulting sample mean highway fuel efficiency could be 30 mpg or higher?

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