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
13 25 2.9
14 25 2.7
15 25 2.5
Find the 99% prediction interval for the Weekly Sales when the shelf space is 30.
B. 2.165 < y < 3.915
C. 2.325 < y < 3.232
D. 2.094 < y < 3.927