For each of the following, indicate whether or not a paired analysis would be appropriate.
a. A school cafeteria offers a vegetarian and a nonvegetarian option for lunch every day. For a period of two weeks, you record how many calories are in the vegetarian option and how many calories are in the nonvegetarian option. Your goal is to see if vegetarian options tend to differ with regard to average number calories from nonvegetarian options.
b. A farmer investigates whether talking to cows by name leads to producing more milk. He randomly selects 30 of his cows and randomly assigns 15 to talk to by name and the other 15 not to.