Assume that​ women's heights have a mean of 63 inches ​(5 feet 3 inches) and a standard deviation of 2 inches.

Question

a. What​ women's height corresponds to a​ z-score of 1.00​?

b. What​ women's height corresponds to a​ z-score of

negative −1.80​?

Answer 1

z score is the value in question - mean all divided by the standard deviation.

So for a z score of 1, we would say:

1 = (x - 63)/2 solving for x, you get x = 65

For a z score of -1.80, we would say:

-1.80 = (x - 63)/2

solve for x to get the corresponding women's height