SOLUTION: Find z such that 94.7% of the standard normal curve lies to the right of z.

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Question 378060: Find z such that 94.7% of the standard normal curve lies to the right of z.
Found 2 solutions by richard1234, Fombitz:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Well...this appears to be a pure statistics problem; even though I have never taken a statistics class, one possible way to solve it is to construct a definite integral with bounds from negative infinity to z. If there is a simple expression for the integral of the normal curve given by %281%2Fsqrt%282pi%29%29e%5E%28%28-x%5E2%29%2F2%29 (this is the expression I have seen for the normal distribution) then z can be easily found, using basic theorems from calculus.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%28z%29=1-0.947
P%28z%29=0.053
Using EXCEL's NORMSINV function,
highlight%28z=-1.6164%29