Paired or not?:In each of the following scenarios, determine if the data are paired.

(a) We would like to know if there is a "home field" advantage in professional basketball. To find out, we random select 10 NBA teams and calculate their average number of points during home games for the 2019 season. We then calculate their average number of points during away games for the 2019 season.

• paired
• not paired

(b) Researchers want to know if free-range eggs have a thicker egg shell than conventional farmed eggs. To compare, they randomly select 20 free-range eggs and 20 conventional farmed eggs.

• not paired
• paired

(c) Forest rangers wanted to better understand the rate of growth for younger trees in the park. They took measruements of a random sample of 50 young trees in 2009 and again measured those same trees in 2019.

• not paired
• paired