1. Liv attends “Happy Days” preschool. The preschool ranassessments on the children’s motor skills (such as ability to tiea shoe), social skills (such as sharing and saying “please” and“thank you”), and school readiness (such as knowing ABCs and basiccounting). The motor skills test has a class mean of 6 with astandard deviation of 1, the social skills test has a class mean of10 with a standard deviation of 2, and the school readiness testhas a mean of 16 with a standard deviation of 4. Liv’s parents aregiven a report that indicates that her z score for motor skills is–1.11, for social skills it is 0.25, and for school readiness it is0.
a. The parents do not know what z scores are. Clearly define forthem what a z score measures and the advantages of using z scorescompared to raw scores.
b. What does a z score = –1.11 mean? A z score of 0.25? A zscore of 0?
c. What are Liv’s raw scores on each test?