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When Lorenzo finished his exam last week, he thought the test was over. But the instructor put z-scores on each student's paper and asked them to figure out their original score. The mean for the class is µ = 61 and standard deviation is σ = 8. Lorenzo's z-score is +1.75. What did he score on the exam?

Respuesta :

Answer:

Lorenzo's score on exam was 75.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 61

Standard Deviation, σ = 8

We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

z-score = 1.75

We have to find the value of x.

Putting values, we get

[tex]1.75 = \dfrac{x - 61}{8}\\\\x = 1.75(8) + 61\\x = 75[/tex]

Thus, Lorenzo's score on exam was 75.