On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 20. Find the z-score of a person who scored 270 on the exam.

Respuesta :

Answer:

z = -1.5

Step-by-step explanation:

To Find z-score

  • z = (X - μ) / σ
  1. X = Test score
  2. μ = Mean
  3. σ = Standard Deviation

Given

  • X = 270
  • μ = 300
  • σ = 20

Solving

  • z = 270 - 300 / 20
  • z = -30/20
  • z = -1.5