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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 $256.45 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. O 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. 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 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 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. 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.

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 $256.45 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. O 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. 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 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 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. 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Analysis of Family Vacation Expenditure at Niagara Falls: Confidence Interval Estimation #### Problem Context 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. A sample of 64 families visiting Niagara Falls displayed a sample mean expenditure of $256.45 per day with a sample standard deviation of $78.50. ### Question (a) **Develop a 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls.** (Round your answers to the nearest cent.) $$ \text{95% Confidence Interval: } \left( \boxed{ } \; \text{to} \; \boxed{ } \right) $$ ### Question (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.** - **Option A:** - **Description:** No. The lower limit for the confidence interval for the population mean at Niagara Falls is greater than the 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. - **Option B:** - **Description:** 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. - **Option C:** - **Description:** 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. - **Option D:** - **Description:** Yes. The lower limit for the confidence interval for the population mean at Niagara Falls is greater than the overall average daily vacation expenditure of $215.60 per day. This suggests the population mean at Niagara Falls is greater than the overall average. - **Option E:** - **Description:** 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
Transcribed Image Text:### Analysis of Family Vacation Expenditure at Niagara Falls: Confidence Interval Estimation #### Problem Context 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. A sample of 64 families visiting Niagara Falls displayed a sample mean expenditure of $256.45 per day with a sample standard deviation of $78.50. ### Question (a) **Develop a 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls.** (Round your answers to the nearest cent.) $$ \text{95% Confidence Interval: } \left( \boxed{ } \; \text{to} \; \boxed{ } \right) $$ ### Question (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.** - **Option A:** - **Description:** No. The lower limit for the confidence interval for the population mean at Niagara Falls is greater than the 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. - **Option B:** - **Description:** 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. - **Option C:** - **Description:** 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. - **Option D:** - **Description:** Yes. The lower limit for the confidence interval for the population mean at Niagara Falls is greater than the overall average daily vacation expenditure of $215.60 per day. This suggests the population mean at Niagara Falls is greater than the overall average. - **Option E:** - **Description:** 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
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