A study evaluated the degree of addiction that children form to cartoon shows once they start watching them in their leisure hours. The study used a random sample of 445 school students in two metropolitan cities who had started watching cartoon shows by the commencement of the study. The response variable was from the Checklist on Student Behavior, a list of 15 questions such as “Have you ever tried to stop watching but couldn’t?” The checklist score is the total number of questions to which a student answered yes. The final checklist means describing such addiction were 6.5 (s = 2.4) for the 350 TV show observers and 2.0 (s = 4.3) for the 95 ex-observers.

(a) Software reports a 95% confidence interval of (3.60, 5.40). Interpret.

(b) Was the checklist sample data distribution for exobservers approximately normal? How does this affect inference?

Why?