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Answer :
The minimum score required for admission is 22.90.
Here we have to find the minimum score required for admission.
Z-score:
Z-score measures how much standard deviation the measure is from the mean.
The formula for z-score:
Z = X- μ/ б
mean(μ) = 21.2
standard deviation (б) = 4.7
University plans to admit students whose scores are in the top 35%.
Top 35%, so at least 100- 35 = 65th percentile. The 65th percentile is the value of X when Z has a p-value of 6.5. So it is X when Z = 0.385
So putting the value:
0.385 = X - 21.2 / 4.7
X = 22.9095
So the minimum score is 22.90.
To know more about the z-score refer to the link given below:
https://brainly.com/question/25638875
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