47. KMPL for New Cars. The New York Times reported that 17.2 million new cars and light trucks were sold in the United States in 2017, and the U.S. Environmental Protection Agency projects the average efficiency for these vehicles to be 10.7 kilometers per liter. Assume that the population standard deviation in kilometers per liter for these automobiles is s 5 6. a. What is the probability a sample of 70,000 new cars and light trucks sold in the United States in 2017 will provide a sample mean kilometers per liter that is within .02 kilometers per liter of the population mean of 10.7? b. What is the probability a sample of 70,000 new cars and light trucks sold in the United States in 2017 will provide a sample mean kilometers per liter that is within .004 kilometers per liter of the population mean of 10.7? Compare this probability to the value computed in part (a). c. What is the probability a sample of 90,000 new cars and light trucks sold in the United States in 2017 will provide a sample mean kilometers per liter that is within 0.004 of the population mean of 10.7? Comment on the differences between this probability and the value computed in part (b). d. Suppose the mean kilometers per liter for a sample of 70,000 new cars and light trucks sold in the United States in 2017 differs from the population mean m by more than 0.5 kilometers per liter. How would you interpret this re.

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