Problem

Suppose the grades in a statistics class follow a normal distribution with a mean of 75 and a standard deviation of 8. What is the z-score for a grade of 85?

Answer

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Answer

Step 3: Simplify the expression to get the z-score.

Steps

Step 1 :Step 1: To find the z-score, we need to use the formula \( Z = \frac{X - \mu}{\sigma} \), where \( X \) is the value we are interested in, \( \mu \) is the mean, and \( \sigma \) is the standard deviation.

Step 2 :Step 2: Substituting the given values into the formula, we get \( Z = \frac{85 - 75}{8} \).

Step 3 :Step 3: Simplify the expression to get the z-score.

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