Question 8.157

georgiarain

60. A Rainy Month in Georgia? The following table represents the total rainfall (in inches) for the month of February 2011 for a random sample of 10 locations in Georgia.15

Location Rainfall
(inches)		 Location Rainfall
(inches)
Athens 4.72 Atlanta 4.25
Augusta 4.31 Cartersville 3.03
Dekalb 2.96 Fulton 4.36
Gainesville 4.06 Lafayette 3.75
Marietta 3.20 Rome 3.26
Table 8.21: Source: National Weather Service.
  1. Use technology to construct a normal probability plot to confirm that the data exhibit acceptable normality.
  2. Construct and interpret a 90% confidence interval for the population mean rainfall in inches.
  3. Calculate and interpret the margin of error.
  4. How could we decrease the margin of error of our confidence interval without decreasing the confidence level?