SOLUTION: Identify the z-score that corresponds with the Middle 47% of the distribution. There is a mean score of 91 and and Standar Deviation of 5 and it is a normal distribution

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Question 1074160: Identify the z-score that corresponds with the Middle 47% of the distribution.
There is a mean score of 91 and and Standar Deviation of 5 and it is a normal distribution

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
47% in the middle leaves 53% for the left and right tails.
So the left tail contains 26.5%.
Find z so that P%28z%29=0.265.
Using EXCEL NORMSINV function,
z=-0.62801
So then,
%28X-91%29%2F5=-0.62801
Now solve for X.