SOLUTION: A sample of 100 is selected from a normal population with a mean of 50 and standard deviation of 5. There is a 35% chance that the mean will be above what value?

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Question 981159: A sample of 100 is selected from a normal population with a mean of 50 and standard deviation of 5.
There is a 35% chance that the mean will be above what value?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Probability ( X > x ) = 1 - 0.65
the z value associated with 0.65 is 0.39, therefore
0.39 = ( x - 50 ) / 5
x - 50 = 5 * 0.39
x - 50 = 1.95
x = 51.95
There is a 35% chance that the mean will be above 51.95