A company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 26 miles per gallon. To see if the goal is being met, they check the gasoline usage for 50 company trips chosen at random, finding a mean of 25.02 mph, and standard deviation of 4.23 mph.

a. For a 94% level of confidence what is the appropriate critical value t* that needs to be used to calculate the margin of error? Determine the value of the critical value using a table or preferred technological tool. Show the degrees of freedom to receive full credit.

b. What is the margin of error for a 94% confidence interval for the mean for fuel efficiency?

c. Construct a 94% confidence interval for the population mean fuel efficiency.

d. Explain what the 94% confidence interval represents.

e. Based on the confidence interval is the company meeting their fleet fuel efficiency standards? Explain.