Answer
$z = \frac{x-μ}{σ} = \frac{500-514}{117}$ = -0.12
$z = \frac{x-μ}{σ} = \frac{600-514}{117}$ = 0.74
Using table 4, we have:
a. P(z < -0.12) = 0.4522 = 45.22%
b. P(z > 0.74) = 1 = P(z < 0.74) = 1 - 0.7704 = 0.2296 = 22.96%
To get number of scores, we multiply sample size and percentage
22.96% x 1500 ≈ 344 scores
Work Step by Step
As given above