The owner of a truck service station has kept complete records of various transactions with his customers. If a random sample of 18 of these records reveals sales of an average of 58.22 gallons of diesel with a standard deviation of 4.80 gallons, Construct a 95% confidence interval for the mean of the population from which the sample was drawn. Construct a 99% confidence interval for the mean of the population from which the sample was taken. State the maximum error that can be established with a 95% confidence interval if we use Ẋ = 58.22 gallons as an estimate of the truck service station's average diesel sales. State the maximum error that can be established with a 99% confidence interval if we use Ẋ = 58.22 gallons as an estimate of the truck service station's average diesel sales.
