Theorists have suggested that there may be a link between childhood trauma and involvement in the criminal justice system. These theorists think that rehabilitation for youth involved in the criminal justice system would be more effective if it targeted individual traumas in addition to known criminal risk factors. A researcher that works at one of the institutions for youth decided to test this theory choosing n=30 youth who were incarcerated and administered a questionnaire assessing their history of traumatic events. The researcher knew that youth in the general population tend to score on average a = 5 (the s is not known) on the interval scale measuring trauma. The researcher is unsure whether this group of offenders will score higher or lower and after administering the scale found the mean to be M = 7 and with a variance of s2 = 4. Conduct all of the steps of hypothesis testing using an alpha = .05.