georgiarain
51. 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.12 The normality was checked in the Section 8.1 exercises. Test whether the population mean amount of rainfall differs from 4 inches, using level of significance .
| 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 |
9.4.51
Step 1 We will reject if the .
Step 2
Step 3
Step 4 The is not . Therefore we do not reject . There is insufficient evidence at level of significance that the population mean amount of rainfall differs from 4 inches.