You may need to use the approprlate appendix table or technology to 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 a sample of 64 families of four vacationlng at Niagara Falls resulted in a sample mean of $256.45 per day and a sample standard deviation of $78 50. (a) Develop a 95% condence interval estimate of the mean amount spent per day ln dollars by a family of four vislting Niagara Falls. (Round your answers to the nearest oent.) $:Im$: (b) Based on the condenoe interval from part (a), does lt appear that the population mean amount spent per day by families vislting Niagara Falls differs from the mean reported by the American Automobile Msoclation? Explain. O No. The overall average daily vacation expenditure of $215.60 per clay is between the upper and lower limits of the condence interval for the population mean at Niagara Falls. This suggests we cannot determine if the population mean at Niagara Falls is greater than the overall average daily vacation expenditure. 0 Yes. The upper llmit for the confidence interval for the population mean at Niagara Falls is less than overall average daily vacation expenditure of $215.60 per day. Thls suggests the population mean at Niagara Falls is less than the overall average. 0 Yes. The overall average dally vacatlon expenditure of $215.60 per day ls between the upper and lower limits of the oondence lnterval for the population mean at Niagara Falls. Thls suggests the population mean at Niagara Falls is less than the overall average. 0 No. The lower limit for the condence interval for the population mean at Niagara Falls is greater than overall average daily vacatlon expenditure of $215.60 per day. This suggests we cannot determine if the population mean at Niagara Falls is greater than the overall average daily vacat'lon expenditure. 0 Yes. The lower limit for the condence interval for the population mean at Niagara Falls is greater than overall average daily vacation expenditure of $215.60 per day. This suggests the population mean at Niagara Falls is greater than the overall average