Suppose you're looking at the results of an experiment involving two groups of people: 74 people who received a treatment and 75 people who were in a control condition. The outcomes in each condition follow a bell curve (or normal distribution), as you might see for people’s heights or weights. The accompanying plot shows the estimated average outcome for each group with error bars showing one standard error above and below the average in each condition.
What is your best estimate of the probability that a randomly selected person in the treatment group has a higher outcome than a randomly selected person in the control group? (A 50% probability indicates no difference in outcomes between the treatment and control groups, on average.)