SOLUTION: Suppose a group of individuals in an area showed and average IQ of 105 with standard deviation of 10. If a sample of 100 individuals from the group is taken, what is the probabilit

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose a group of individuals in an area showed and average IQ of 105 with standard deviation of 10. If a sample of 100 individuals from the group is taken, what is the probabilit      Log On


   

Question 761498: Suppose a group of individuals in an area showed and average IQ of 105 with standard deviation of 10. If a sample of 100 individuals from the group is taken, what is the probability that the mean IQ of the individuals is between 102.5 and 106.75?
i.)the problem does not state population is normal. Explain how this affects your potential answer.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose a group of individuals in an area showed an average IQ of 105 with standard deviation of 10. If a sample of 100 individuals from the group is taken, what is the probability that the mean IQ of the individuals is between 102.5 and 106.75?
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z(102.5) = (102.5-105)/[10/sqrt(100)] = -2.5
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z(106.75) = (106.75-105)/[10/sqrt(100)] = 1.75
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P(102.5 < x-bar < 106.75) = P(-2.5 < z < 1.75) = 0.9537
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Cheers,
Stan H.
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