SOLUTION: The mean of a set of normally distributed data is 14 and standard deviation is 3. Which of the following could best represent a data value at the 93rd percentile? 9.5. 17. 18.5. 1

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Question 876154: The mean of a set of normally distributed data is 14 and standard deviation is 3. Which of the following could best represent a data value at the 93rd percentile?
9.5. 17. 18.5. 15.5

Answer by reviewermath(1029) About Me  (Show Source):
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Q:
The mean of a set of normally distributed data is 14 and standard deviation is 3. Which of the following could best represent a data value at the 93rd percentile?
9.5. 17. 18.5. 15.5
A:
In a standard normal distribution,
P(Z < 1.4758) ≈ 0.93
We find x such that
%28x+-+14%29%2F3+=+1.4758
x+=+3%281.4758%29+%2B+14
x = 18.4
The nearest answer is highlight%2818.5%29