Standard deviations related question...help?

#1
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)
 
#3
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.
 

hlsmith

Less is more. Stay pure. Stay poor.
#4
1.0-93.3=6.7

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