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 the home'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 3,000 square feet.
|
Heating |
Square |
Heating |
Square |
|||||
|---|---|---|---|---|---|---|---|---|
|
Cost ($) |
Footage |
Cost ($) |
Footage |
|||||
|
320 |
2,420 |
440 |
2,610 |
|||||
|
300 |
2,420 |
330 |
2,220 |
|||||
|
290 |
2,030 |
390 |
3,150 |
|||||
|
250 |
2,240 |
320 |
2,510 |
|||||
|
310 |
2,340 |
380 |
2,940 |
|||||
Determine the upper and lower limits of the confidence interval.