The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 15 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. .

Store

Shelf Space

Weekly Sales

1 5 1.3

2 5 1.6

3 5 1.4

4 10 1.7

5 10 1.9

6 10 2.3

7 15 2.2

8 15 2

9 15 1.8

10 20 2.2

11 20 2.4

12 20 2.9

13252.914252.715252.5

Find the 99% prediction interval for the Weekly Sales when the shelf space is 30. (round to 3 decimal places)

Option:

2.325 < y < 3.232

2.094 < y < 3.927

2.165 < y < 3.915

2.000 < y < 4.000