Question: Dr. Horrible wants to test whether his new doomsday ray can also be used to change the IQ of chipmunks. For this purpose he captured 20 chipmunks and put them in cages. Chipmunks in general score 85 on the “lower mammal IQ test” (LMIQ). After activating his device, Dr. Horrible measures the IQ score of the 20 chipmunks.

a. What is the appropriate statistical test?

b. Generate a group of 20 IQ scores for the chipmunks that demonstrates that they are smarter than the average chipmunk.

c. What would happen to the statistical significance level of the test if 40 chipmunks are tested such that each of the scores from (b) is used twice?