Question

Find the z-score from a standard normal distribution that satisfies each of the following statements. (a) The point z with 2.81 percent of the observations falling below it. z= equation editorEquation Editor (b) The closest point z with 21.94 percent of the observations falling above it. z= equation editorEquation Editor

Answer 1

a)  2.81 percent of the observations falling below z

So, P(Z < z) = 0.0281

From standard normal distribution table,

z = -1.91

b) 21.94 percent of the observations falling above z

P(Z > z) = 0.2194

P(Z < z) = 1 - 0.2194 = 0.7806

z = 0.77