As the director of the local youth club, you have lots of scattered evidence to claim that membership in your club reduces juvenile delinquency. Now, a cynical member of your funding agency has demanded proof of your claim. Random samples of members and non-members are gathered and interviewed with respect to their involvement in delinquent activities. Each respondent is asked to enumerate the number of delinquent acts he or she has engaged in over the past year. The results are in and are reported below (the average number of admitted acts of delinquency). What can you tell the funding agency at a 95% confidence level?

Sample 1 (Members) Sample 2 (Non-Members)

Mean1 = 10.3 Mean2 = 12.3

s1 = 2.7 .................s2 = 4.2

n1= 40 ...................n2 = 55