Dr. Jimenez is interested in the relationship between depression in adulthood and childhood emotional trauma. He hypothesizes that adults who are depressed may have experienced emotional trauma, such as emotional abuse, earlier in life which predisposed them to developing depression as adults. In preparation to conduct this research, he decides to create his own questionnaire that will measure early childhood trauma (the Childhood Emotional Trauma Questionnaire; CETQ) where he has adults respond to 10 questions (1-10 point scale) about potentially emotionally traumatic events in their childhoods. When he gives the CETQ to a sample of 30 adults (Time 1), and then gives the measure to the same 30 adults again 3 weeks later (Time 2), he finds a correlation of .75 between the two scores. The split-half correlation coefficient for the CETQ is .73 before the Spearman-Brown Formula is applied, while the Cronbach’s coefficient alpha is .70 at Time 1. The standard deviation of Time 1 scores is 7.5.

Apply the Spearman-Brown Formula and obtain a corrected split-half correlation coefficient for the CETQ.
Use the value of Cronbach’s coefficient alpha (Time 1) and calculate the standard error of the measurement