Solve the following problem:
The Bradford Electric Illuminating Company is studying the relationship between kilowatthours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10 homes yielded the following.
| Number of |
Kilowatt-Hours |
Number of |
Kilowatt-Hours |
| Rooms |
(thousands) |
Rooms |
(thousands) |
| 12 |
9 |
8 |
6 |
|
| 9 |
7 |
10 |
8 |
|
| 14 |
10 |
10 |
10 |
|
| 6 |
5 |
5 |
4 |
|
| 10 |
8 |
7 |
7 |
|
a. Determine the .95 confidence interval, in thousands of kilowatt-hours, for the mean of all six-room homes.
b. Determine the .95 prediction interval, in thousands of kilowatt-hours, for a particular sixroom home.