Stats hw please help Given 𝑋~𝑁(22,5)

Question

(a) Find 𝑥1 given 𝑧1 = −1.4

(b)Find𝑥2given𝑧2 =2.5

Answer 1

Distribution is Normal. Mean is 22, standard deviation is 5.

z1 is a z-score

z1 = (x1 - mean)/standard deviation

-1.4 = (x1 - 22)/5

-7 = x1 - 22

15 = x1

z2 is a z-score

z2 = (x2 - mean)/standard deviation

2.5 = (x2 - 22)/5

12.5 = x2 - 22

34.5 = x2