1) One factor in determining the shelf life of a dry cereal is the moisture content. Since standard packaging techniques do not completely prevent cereal from absorbing moisture, the longer it stays on the shelf, the more moisture it absorbs. A new cereal called "Tops" is being tested. In the data that follow, "X" is the time on the shelf in days and "Y" is the moisture content measured on a scale from 1 to 10.
|
X
|
0
|
6
|
10
|
16
|
24
|
30
|
37
|
|
Y
|
2.9
|
3.2
|
3.5
|
3.6
|
3.9
|
4.2
|
4.6
|
a. Calculate the sample correlation coefficient
b. Use the 5% significance level to test for a positive population correlation between the time on the shelf ("X") and the moisture content ("Y").