Question 9 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
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 (new pill – placebo) is calculated for each subject. What are the hypotheses the company should use?
Answer
A
H Subscript 0 Baseline: Mu Subscript difference Baseline = 0; H Subscript alpha Baseline: mu Subscript difference Baseline less-than 0
B
H Subscript 0 Baseline: x Overbar Subscript difference Baseline = 0, H Subscript alpha Baseline: x Overbar Subscript difference Baseline less-than 0
C
H Subscript 0 Baseline: Mu Subscript difference Baseline = 0; H Subscript alpha Baseline: mu Subscript difference Baseline not-equals 0
D
H Subscript 0 Baseline: x Overbar Subscript difference Baseline = 0, H Subscript alpha Baseline: x Overbar Subscript difference Baseline not-equals 0