-In 2014, the US Supreme Court case of Hall v. Florida overturned an existing Fl

Question

-In 2014, the US Supreme Court case of Hall v. Florida overturned an existing Florida law that used strict IQ cut-off scores to determine whether or not a felon was exempt from capital punishment based on an “intellectual disability.” In the original Florida ruling (which was eventually overturned), anyone convicted of a capital offense whose IQ was in the bottom 2.28% of the population would be exempt from the death penalty. Anyone higher than this cut-off could be subject to the death penalty. Freddie Lee Hall, the felon in question, had an IQ of 71. Under the original Florida ruling, would he be exempt from the death penalty? Show your work or explain your answer.

-Who would have the higher measured intelligence: Someone with an IQ score of 130 or someone who has a z-score of 2.25 on a different measure of Intelligence that does not use the same IQ scoring method?

Explanation / Answer

Average IQ of a person = 100

Standard deviation of IQ of a person = 15

Now, we have to see that Freddie lee Hall will come under the bottom 2.28% population or not. Let X is the IQ if any random person,

So,

Pr(X < = 71) = NORM (X < = 71, 100 ; 15)

Z = (71 - 100)/15 = -1.9333

So,

Pr(X <= 71) = Pr(Z < -1.9333) = 0.0266 or 2.66%

so no, as per original florida ruling, he would not be exempt from the death penalty.

(b) Here Z value of IQ score of 130 is

Z = (130 - 100) / 15 = 2

so Z score of 2.25 on any IQ scoring method would be more intelligent than Z score of 2 AKA someone with an IQ score of 130.

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