The Kaufman Assessment Battery for Children is designed to measure achievement and intelligence with a special emphasis on nonverbal intelligence. Its global measures, such as its Sequential Processing score, are scaled to have a mean of 100 and a standard deviation of 15. Assume that the Sequential Processing score has a normal distribution.

(a) Find a value such that divides the children with the highest 10% of the scores from those with the lower 90%.

(b) What proportion of childrenwill have Sequential Processing scores between 90 and 110?

(c) In a sample of 20 children,what is the probability the samplemeanwill differ fromthe populationmean bymore than 3 points (either positive or negative)?

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