Question: A survey conducted by the American Automobile Association showed that a family of four spends an average of 215.60 per day while on vacation. Suppose that a sample of 64 families of four vacationing at Niagara Falls resulted in a sample mean of $252.45 and a sample standard deviation of $74.50.

a. Develop a 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara falls.

b. Does your result seem to be consistent with the average reported by the American Automobile Association? Explain.