Given X~N(22,5)

Question

(a)Find x1 given z1 = -1.4

(b)Find x2 given z2= 2.5

Answer 1

a) z1 = (x1 - mean) / standard deviation

-1.4 = (x1 - 22)/5

-7 = x1 - 22

15 = x1

b) z2 = (x2 - mean) / standard deviation

2.5 = (x2 - 22)/5

12.5 = x2 - 22

34.5 = x2