Standard deviations related

Q. A school social worker is determining eligibility for anxiety management groups at a high school she is employed at. If she is interested in identifying the percentage of potential clients who scored higher than 1.5 standard deviations above the mean on a standardized anxiety index, for the possible inclusion in the anxiety management therapy group, what percentage of that population will she have identified? (Round your answer to the nearest whole number)
Of course I worked the problem before posting here, but after talking to my friend I'm not sure I did it right.

This is what I had.

Going off of the breakdown of percentages on a bell curve,

34.13%+6.795%=40.925, then you take 50%+40.925%=90.925, then 100%-90.925%=9.075%

This is where I ended, but then my friend said that she got something different. I can't remember the exact number she said. Please help me.


Less is more. Stay pure. Stay poor.

I used a program to calculate, but you can look up 1.5 on the standard normal table in the back of your book.