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5. o/1 points | Previous Answers MintroSta19 1.E.123. My Notes Ask Your Teacher

ID: 3369383 • Letter: 5

Question

5. o/1 points | Previous Answers MintroSta19 1.E.123. My Notes Ask Your Teacher The Wechsler Adult Intelligence Scale (WAIS) is the most common IQ test." The scale of scores is set separately for each age group and is approximately normal with mean 100 and standard deviation 15. (Enter your answer to two decimal places.) (a) People with WAIS scores below 70 are considered mentally retarded when, for example, applying for Social Security disability benefits. What percent of adults are retarded by this criterion? (Round your answer to two decimal places.) 2.2 (b) The organization MENSA, which calls itself "the high IQ society," requires WAIS scores of 130 or higher for membership. What percent of adults would qualify for membership? (Round your answer to two decimal places)

Explanation / Answer

solution=

a)

P(X<70) = P((X-mean)/s <(70-100)/15)

= P(Z<-2)

=0.0228(check standard normal table

= 2.28% of adults

b)

P(X>130) = (130 - 100)/15 = 2

we need P(Z > z) = P(Z > 2) = 0.022750132 (check standard normal table
2.28% of adults .

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