Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to calculate the z-score for a student who scores a 92 on the final exam. The mean and the standard deviation scores on the exam are 76 and 6, respectively. Calculate the z-score.

Respuesta :

The z score of a student who scores a 92 on the final exam is 2.67.

Z score

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean and σ is the standard deviation

Given that σ = 6, μ = 76. For a raw score of 92:

z = (92 - 76) / 6 = 2.67

The z score of a student who scores a 92 on the final exam is 2.67.

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