You may need to use the appropriateappendix tableortechnologyto answer this 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 asample of 64 familiesof four vacationing at Niagara Falls resulted in a sample mean of $258.45per day and a sample standard deviation of $78.50.(a)Develop a 95% confidence interval estimate of the mean amount spent per day in dollars by a family of four visiting Niagara Falls. (Round your answers to the nearest cent.)$ to $