Nine homes are chosen at random from real estate listings in twosuburban neighborhoods, and the square footage of each home isnoted in the following table.
| Size of Homes in Two Subdivisions |
| Subdivision | Square Footage |
| Greenwood | 2,671 | 2,755 | 2,500 | 2,489 | 2,446 | 2,376 | 2,327 | 2,450 | 2,834 |
| Pinewood | 2,659 | 2,340 | 2,813 | 2,775 | 2,734 | 2,420 | 2,457 | 2,535 | 3,449 |
(a) Choose the appropriate hypothesis to testif there is a difference between the average sizes of homes in thetwo neighborhoods at the .10 significance level. Assumeμ1 is the mean of home sizes in Greenwood andμ2 is the mean of home sizes in Pinewood.
(c) Find the test statistictcalc. (A negative value should beindicated by a minus sign. Round your answer to 3 decimalplaces.)
(d) Assume unequal variances to find thep-value. (Use the quick rule to determine degreesof freedom. Round your answer to 4 decimal places.)
