A drug manufacturing company believes it has found a new medication to alleviate pain for headache sufferers. Twenty people with chronic headaches are asked to take a placebo pill or a pill containing the new medication during their next headache episode. The pill they take is determined by a coin flip. An hour later, the participants are asked to rate their headache pain level on a scale from 1 (no pain) to 5 (severe pain). During their next headache episode, the subjects are asked to take the other pill. The difference in pain ratings open paren new pill minus placebo close paren is calculated for each subject. Are the conditions for inference met?
Answer
A
No. The 10 percent condition is not met.
B
No. The Normal/Large Counts condition is not met because the sample size is too small and the shape of the distribution of differences is not known.