You may need to use the appropriate 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 vacationing at Niagara Falls resulted in a sample mean of $258.45 per 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 $ (b) Based on the confidence interval from part (a), does it appear that the population mean amount spent per day by families visiting Niagara Falls differs from the mean reported by the American Automobile Association? Explain. Yes. The overall average daily vacation expenditure of $215.60 per day is between the upper and lower limits of the confidence interval for the population mean at Niagara Falls. This suggests the population mean at Niagara Falls is less than the overall average. No. The lower limit for the confidence interval for the population mean at Niagara Falls is greater than overall average daily vacation 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 vacation expenditure. No. The overall average daily vacation expenditure of $215.60 per day is between the upper and lower limits of the confidence 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. Yes. The upper limit for the confidence interval for the population mean at Niagara Falls is less than overall average daily vacation expenditure of $215.60 per day. This suggests the population mean at Niagara Falls is less than the overall average. Yes. The lower limit for the confidence 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. Need Help? Read it Master It 3 DETAILS ASWSBE13 8.E.051. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You may need to use the appropriate appendix table or technology to answer this question. In developing patient appointment schedules, a medical center wants to estimate the mean time that a staff member spends with each patient. Use a planning value for the population standard deviation of twelve minutes. (Round your answers up to the nearest integer.) How large a sample should be taken if the desired margin of error is three minutes at a 95% level of confidence? How large a sample should be taken for a 99% level of confidence? Need Help? Read It DETAILS ASWSBE13 8.E.057.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You may need to use the appropriate appendix table or technology to answer this question. The Centers for Disease Control reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30. (a) How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02? Use 95% confidence. (Round your answer up to the nearest integer.) (b) Assume that the study uses your sample size recommendation in part (a) and finds 580 smokers. What is the point estimate of the proportion of smokers in the population? (Round your answer to four decimal places.) (c) What is the 95% confidence interval for the proportion of smokers in the population? (Round your answers to four decimal places.)