omework: 3.2 core: 0 of 1 pt 2.29 801 13 (5 complete) cores of an 1Q test have a

Question

omework: 3.2 core: 0 of 1 pt 2.29 801 13 (5 complete) cores of an 1Q test have a bel-shaped dstrbution with a mean of 100 and a standard deviation of 14 Use the empirical rule to determine the tollowing a) What percentage of people has an IQ score belween 85 and 114 b) What percentage of people has an IQ score less than 58 or greater than 1427 ) What percentage of people has an 1Q score greater than 142 as (Type an integer or a decimal) Enter your ansarer in the answer box and then dick Check Answer 21 O Type here to search

Explanation / Answer

a) 86 and 114 are within 1 standard deviation of the mean. Usign 68-95-99.7 rule,

a)P(86<IQ<114)=68%

b) 142 and 58 re 3 standard deviations away P(58<x<142) = 1-0.997=0.3%

c) P( x>142) = 0.3%/2=0.15%

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