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On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 50. Find the z-score of a person who scored 150 on the exam.

Respuesta :

Answer:

z = -3

Step-by-step explanation:

Use the formula for z-score

[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{150-300}{50}\\ \\z=\frac{-150}{50}\\ \\z=-3[/tex]

This tells us that the person's score of 150 puts him/her 3 standard deviations below the mean of 300.

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