Find the indicated z score. if everything below the z is .9251 with a mean 0 and standard deviation 1.

Question

Find the indicated z score. if everything below the z is .9251 with a mean 0 and standard deviation 1.

Answer 1

z=1.44 when everything below z is .9251, with mean 0 and standard deviation = 1

use a z calculator

rough check using empirical rule is z=1 means 1-.1-68/2 = 1-.34/2 = .1-175 = .825

z=2 means 1-.1-95/2 = 1-..05/2 = 1-.025 = .975

.825<.9251<.975

so 1<z<2 and 1.44 is about midway between them