An educational psychologist was interested in whether children who grow up in bilingual settings have an advantage of distraction resistance compared with children in general. The distraction resistance test was administered to a randomly chosen child with bilingual upbringing background who was found to have a score of 69. The population average is 60 with a standard deviation of 3. Do children with bilingual upbringing background score 3 higher on distraction resistance test than children in general? Use the 1% level of significance.
(a) Clearly state null and research hypotheses in terms of the mean scores on distraction resistance, µ, of children with bilingual upbringing.
(b) What is the comparison distribution for the sample's Z score?
(c) What are the cut-off values for a test with significance level 0.01?
(d) What is the observed Z score?
(e) What is your conclusion?