Rad Revised Week 3 Discussion Questions first instruction previous page. Please

Question

Rad Revised Week 3 Discussion Questions first instruction previous page. Please submit the two discussion items for your assigned letter Examine the intelligence quotient, or IQ, as it is defined by the formula: Assuming a normal distribution, what is the z-score associated with the 90th percentile? "intelligence quotient 100 (mental age/chronological age)" What would be the IQ if a person's chronological age equals their mental age? What percentage of the area would the Empirical Rule say is between z =-3.00 and z +3.00? Given x = 237, = 220, and 12.3, find z.

Explanation / Answer

1)

For Normal Distribution, Z-score associated with 90th percentile.

Let it be t. Then, by definition, P(Z t) = 0.9, where Z ~ N(0, 1).

Using Excel Function on Standard Normal Distribution, we find t = 1.2815 ANSWER

2)

For Standard Normal Distribution, percentage of area between – 3 and + 3 is

0.270% ANSWER

3)

Given x = 237, µ = 220 and = 12.3, Z = {(237 - 220)/12.3} = 17/12.3 = 1.382 ANSWER

4)

Given Intelligence Quotient (IQ) = 100 * (mental age/chronological age),

IQ = 1, when mental age equals chronological age. ANSWER

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