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noname [10]
3 years ago
13

Suppose that IQ scores in one region are normally distributed with a standard deviation of . Suppose also that exactly of the in

dividuals from this region have IQ scores of greater than (and that do not). What is the mean IQ score for this region
Mathematics
1 answer:
olga55 [171]3 years ago
7 0

Answer: Hello your question is poorly written attached below is the complete question

answer : 101.8

Step-by-step explanation:

Given data :

Standard deviation ( б ) = 14

55% have IQ scores > 100

45% have IQ scores < 100

<u>Determine the mean IQ score for the region</u>

P ( X > x ) =

P ( Z ≥ ( 100 - μ ) / 14 ) = 0.55    also

P ( Z ≤ ( 100 - μ ) / 14 ) = 0.45

<em>using standard normal calculator </em>

100 - μ  / 14  = Z₀.₄₅ = - 0.126

<em>resolving the relation above</em>

100 - μ  / 14  = - 0.126

μ = 100 - 14 ( -0.126 )

   = 101.764 ≈ 101.8

             

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