In: Statistics and Probability
1. For the following experimental designs, indicate whether independent-samples or paired-samples t-test is appropriate:
a) Weight is obtained for each subject before and after Dr. Nogani's new treatment. The hypothesis to be tested is that the treatment has no effect on weight loss.
b) Elephants are randomly selected from a jungle and Trunkgrol is administered to one group of elephants and Trunkgro2 to the other. The hypothesis to be tested is that both agents are equally effective in promoting trunk growth.
a) Weight is obtained for each subject before and after Dr. Nogani's new treatment. The hypothesis to be tested is that the treatment has no effect on weight loss.
here, each sample has been tested twice , once before treatment
and then after treatment.
hence it is paired-samples t-test
b) Elephants are randomly selected from a jungle and Trunkgrol is administered to one group of elephants and Trunkgro2 to the other. The hypothesis to be tested is that both agents are equally effective in promoting trunk growth.
Here, the elephants are randomly assigned to two groups and each observation is tested once.
hence it is independent-samples t-test