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Answer :
Final answer:
The minimum IQ score for admission should be approximately 121.
Explanation:
To determine the minimum IQ score for admission, we need to find the IQ score that corresponds to the 90th percentile. Since IQ is normally distributed with a mean of 100 and a standard deviation of 16, we can use the standard normal distribution table or a calculator to find the z-score that corresponds to the 90th percentile, which is approximately 1.28. Using the formula z = (x - μ) / σ, we can rearrange it to x = z * σ + μ and substitute the values. Therefore, the minimum IQ score for admission should be approximately 121.
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