Question: A study of the price of a gallon of heating oil reported the following statistics from random samples of prices on the east coast and west coas

Coast Sample Size Sample Mean Sample Standard Deviation

East 90 1.096 0.035

West 160 1.123 0.036

a. Compute a 99% confidence interval for the mean price of a gallon of heating oil on the east coast.

b. Compute a 99% confidence interval for the mean price of a gallon of heating oil on the west coast.

c. Do the confidence intervals in parts (a) and (b) provide convincing evidence that heating oil is more expensive on the west coast than it is on the east coast, on the average? Explain.

d. Why is the confidence interval for the mean price of heating oil narrower for the west coast than it is for the east coast?

e. At the a = 0.01 and using p-values, test the claim that the price of a gallon of heating oil on the west coast is more than the price of a gallon of heating oil on the east coast.

f. Interpret your results.