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