Question

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.

Answer 1

Answer: a. a paired analysis is appropriate

b. a paired analysis is not appropriate

Explanation:

The paired analysis sometimes is refered to as a statistical procedure which is used to know if the mean difference that exist between two observations is zero or not. It should be noted that in a paired analysis, each subject is measured twice, and this beings about the pairs of observations.

a. Here, the paired analysis is appropriate due to the fact that similar measurement which are the calories are taken for several days for both the vegetarian and the non vegetarian such are two pairs of sample.

b) In this case, the paired analysis is not appropriate. Here, the pairs of samples don't undergo identical treatment.