Question

A population of values has a normal distribution with μ=152.8 and σ=26.2 . You intend to draw a random sample of size n=94 .

Find the probability that a single randomly selected value is less than 149.6.
P(X < 149.6) =

Answer 1

P = 0.022

Explanation:

Draw a normal distribution curve

Find the z score.

z score = 0.12

Find the probability for the z score.

P = 0.478

Subtract probability from 0.5

0.5 - 0.478 =0.022