# Based on records kept at a gas station, the distribution of gallons of gas purchased by customers

Based on records kept at a gas station, the distribution of gallons of gas purchased by customers is skewed to the right with mean 10 gallons and standard deviation 4 gallons. A random sample of 64 customer receipts was selected, and the sample mean number of gallons was recorded. Suppose
the process of selecting a random sample of 64 receipts and recording the sample mean number of gallons was repeated for a total of 100 samples. Which of the following is the best description of a dotplot created from the 100 sample means?

A The dotplot is skewed to the right with mean 10 gallons and standard deviation 4 gallons.

B The dotplot is skewed to the right with mean 10 gallons and standard deviation 0.5 gallon.

C The dotplot is skewed to the right with mean 10 gallons and standard deviation 0.4 gallon.

D The dotplot is approximately normal with mean 10 gallons and standard deviation 0.5 gallon.

E The dotplot is approximately normal with mean 10 gallons and standard deviation 0.4 gallon.

Answer: The correct answer is The dotplot is approximately normal with mean 10 gallons and standard deviation 0.5 gallon.