An ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. An agricultural association publishes tariff rates for railroad-car shipments of ethanol. Assuming that the standard deviation of such tariff rates is $1350,determine the probability that the mean tariff rate of 200 randomly selected railroad-car shipments of ethanol will be within $120 of the mean tariff rate of all railroad-car shipments of ethanol. Interpret your answer in terms of sampling error. The probability is______.(Round to three decimal places as needed.) A half-century ago, the mean height of women in a particular country in their 20s was 63.4 inches. Assume that the heights of today's women in their 20sare approximately normally distributed with a standard deviation of 2.84 inches. If the mean height today is the same as that of a half-century ago, whatpercentage of all samples of 25 of today's women in their 20s have mean heights of at least 64.52 inches?About% of all samples have mean heights of at least 64.52 inches.(Round to one decimal place as needed.) For earthquakes with a magnitude 7.5 or greater on the Richter scale, the time between successive earthquakes has a mean of 470 days and a standard deviation of 356 days. Suppose that you observe asample of four times between successive earthquakes that have a magnitude of 7.5 or greater on the Richter scale.a. On average, what would you expect to be the mean of the four times?b. How much variation would you expect from your answer in part (a)? (Hint: Use the three-standard-deviations rule.)a. On average, what would you expect to be the mean of the four times?470 daysb. How much variation would you expect from your answer in part (a)? (Hint: Use the three-standard-deviations rule.)The sample mean is expected to fall betweenanddays

Question

An ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. An agricultural association publishes tariff rates for​ railroad-car shipments of ethanol. Assuming that the standard deviation of such tariff rates is $1350​,determine the probability that the mean tariff rate of 200 randomly selected​ railroad-car shipments of ethanol will be within $120 of the mean tariff rate of all​ railroad-car shipments of ethanol. Interpret your answer in terms of sampling error. The probability is______.​(Round to three decimal places as​ needed.) A half-century ago, the mean height of women in a particular country in their 20s was 63.4 inches. Assume that the heights of today's women in their 20sare approximately normally distributed with a standard deviation of 2.84 inches. If the mean height today is the same as that of a half-century ago, whatpercentage of all samples of 25 of today's women in their 20s have mean heights of at least 64.52 inches?About% of all samples have mean heights of at least 64.52 inches.(Round to one decimal place as needed.) For earthquakes with a magnitude 7.5 or greater on the Richter scale, the time between successive earthquakes has a mean of 470 days and a standard deviation of 356 days. Suppose that you observe asample of four times between successive earthquakes that have a magnitude of 7.5 or greater on the Richter scale.a. On average, what would you expect to be the mean of the four times?b. How much variation would you expect from your answer in part (a)? (Hint: Use the three-standard-deviations rule.)a. On average, what would you expect to be the mean of the four times?470 daysb. How much variation would you expect from your answer in part (a)? (Hint: Use the three-standard-deviations rule.)The sample mean is expected to fall betweenanddays

Accepted Answer

Obtain the probability that the mean tariff rate of 200 randomly selected railroad car shipments of…