SOLUTION: IQ is normally distributed with mean, u=100, and standard deviation o=20. what is the probability of selecting a random sample of size 100 with mean IQ larger than 105?

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Question 668360: IQ is normally distributed with mean, u=100, and standard deviation o=20. what is the probability of selecting a random sample of size 100 with mean IQ larger than 105?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
μ = 100 , σ = 20
P(x>105) = 1 - P(x ≤ 105) = 1 - P(z+%3C=+%28105-+100%29%2F%2820%2Fsqrt%28100%29%29)
= 1 - P(z ≤ 5/2)=.0062