A survey conducted by the American Automobile Association showed that a family of four spends an average of $215.50 per day while on vacation. Suppose a sample of 64 families of four vacationing at Niagara Falls resulted in a sample mean of $25 ber day and a sample standard deviation of $72.50. (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.

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A survey conducted by the American Automobile Association showed that a family of four spends an average of $215.50 per day while on vacation. Suppose a sample of 64 families of four vacationing
per day and a sample standard deviation of $72.50.
Niagara Falls resulted in a sample mean of $256.45
(a) Develop
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
American Automobile Association? Explain.
O 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.
O No. The lower limit for the confidence interval for the population mean
greater than the overall average daily vacation expenditure.
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
O 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.
O 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.
O 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.
Transcribed Image Text:A survey conducted by the American Automobile Association showed that a family of four spends an average of $215.50 per day while on vacation. Suppose a sample of 64 families of four vacationing per day and a sample standard deviation of $72.50. Niagara Falls resulted in a sample mean of $256.45 (a) Develop 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 American Automobile Association? Explain. O 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. O No. The lower limit for the confidence interval for the population mean greater than the overall average daily vacation expenditure. 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 O 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. O 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. O 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.
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