SOLUTION: I'm having problems with this one any help would be appreciated In a standard normal distribution, what z value corresponds to 17% of the data between the mean and the z value?

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Question 476009: I'm having problems with this one any help would be appreciated
In a standard normal distribution, what z value corresponds to 17% of the data between the mean and the z value?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

I believe your question is to find a range going from the mean to a z-value on the standard normal distribution that corresponds to 17% of the area. A normal distribution goes from values of minus infinity to positive infinity. A standard normal distribution has a mean of 0 and an standard deviation of 1.
It is usually best if you draw a diagram, in this case a bell shape curve with mean+=+0. The area to the left of the mean is 50% of the total area. We find a z value that corresponds to 67% (50% + 17%) of the area to the left of this value. This can be done either with a lookup table or a spreadsheet program. I prefer excel, +norminv%280.67%29+=+0.44.
The problem could also be worded to find the area going from a z-value to the mean. In this case, we must find a z-value that corresponds to 33% (50%-17%). Using Excel, I calculate +norminv%280.33%29+=+-0.44.