Question

For a population with u = 0 and o = 6 fin the z score for each of the following x values

x = 54 answer is 2.33

Now how do you do this 2nd part?

for the same population find the score (x value) corresponding to each of the z score

z= 0.75 _______

Answer 1

Your question is confusing because (x-μ)/σ when μ=0 and σ=6 is 54/6=9, not 2.33.

I think you mean μ=40, then (54-40)/6=14/6=7/3=2.33.

If we assume μ=40, then z=0.75=(x-40)/6,

x-40=6×0.75=4.5, x=44.5.