The Top 8% of students will get a scholarship if they score above what? normally distributed with a mean of 62 and a std deviation of 8.

Answer 1

top 8% means

Prob( z < Z) = 0.92 for some particular z-score Z.

Per the table, or norminv() of excel, Z = 1.40507156

the corresponding x is X such that Z = (X-mean)/stndDev

Solving for X:

Z*stndDev+mean = X

So then X= 1.40507156*8 + 62

= 73.24057248

is the goal to get the scholarship