The Chamber of Commerce Miami Beach wishes to estimate the mean expenditures per tourist per visit to the city. A SRS of one hundred tourists was selected for investigation. From this sample, it was found that the mean expenditure was $800.00 per tourist per visit and standard deviation was $120.00 per tourist per visit. Construct a 95% confidence interval for the true mean expenditure per tourist.
Solution :
t /2,df = 1.984
Margin of error = E = t/2,df * (s /n)
= 1.984 * (120 / 100)
Margin of error = E = 23.8
The 95% confidence interval estimate of the population mean is,
- E < < + E
800 - 23.8 < < 800 + 23.8
776.2 < < 823.8
($776.2 , 823.8)
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