SOLUTION: A distribution of values is normal with a mean of 150.4 and a standard deviation of 4.5. Find P46, which is the score separating the bottom 46% from the top 54%.

Question 1084454: A distribution of values is normal with a mean of 150.4 and a standard deviation of 4.5.
Find P46, which is the score separating the bottom 46% from the top 54%.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Use the table of z-values to find the z-score for 0.46 probability
:
the associated z-score is -0.10
:
-0.10 = (X - 150.4) / 4.5
:
X - 150.4 = -0.10 * 4.5
:
X - 150.4 = -0.45
:
X = 149.95
:
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P46 = 149.95
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