What is the z-score of x = 8, if it is 1.6 standard deviations to the left of the mean?

Question

I need some help with this problem please.

Answer 1

If I understand the question correctly, you want to know the z that corresponds to an x value of 8 that is 1.6 standard deviations from the mean.

That means that the mean*1.6 = 8, which means that the mean is 8/1.6 = 5

Z = (x-mean)/standard deviation = (8-5)/1.6 = 1.875

Please let me know if I misunderstood