In: Statistics and Probability
Suppose a government department would like to investigate the relationship between the cost of heating a home during the month of February in the Northeast and thehome's square footage. The accompanying data set shows a random sample of 10 homes. Construct a 90% confidence interval to estimate the average cost in February to heat a Northeast home that is 2,900 square feet.
| 
 Heating  | 
 Square  | 
 Heating  | 
 Square  | 
|||||
|---|---|---|---|---|---|---|---|---|
| 
 Cost ($)  | 
 Footage  | 
 Cost ($)  | 
 Footage  | 
|||||
| 
 330  | 
 2,410  | 
 440  | 
 2,610  | 
|||||
| 
 300  | 
 2,410  | 
 340  | 
 2,210  | 
|||||
| 
 300  | 
 2,020  | 
 380  | 
 3,150  | 
|||||
| 
 250  | 
 2,210  | 
 330  | 
 2,530  | 
|||||
| 
 310  | 
 2,310  | 
 360  | 
 2,950  | 
|||||
Determine the upper and lower limits of the confidence interval.