Questions: Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle's score to a z-score. A. 1 B. -1 C. -9 D. 9

Transcript text: Scores on a test have a mean of 66 and a standard deviation of 9 . Michelle has a score of 57 . Convert Michelle's score to a $z$-score. A. 1 B. -1 C. -9 D. 9

Solution

Solution Steps

Step 1: Identify the Given Values

We are given the following values:

Mean ($\mu$) = 66
Standard deviation ($\sigma$) = 9
Michelle's score ($X$) = 57

Step 2: Apply the Z-Score Formula

The formula to calculate the z-score is:

\[ z = \frac{X - \mu}{\sigma} \]

Substituting the given values into the formula:

\[ z = \frac{57 - 66}{9} \]

Step 3: Calculate the Z-Score

Perform the calculations:

\[ z = \frac{-9}{9} = -1.0 \]

Final Answer

$\boxed{-1}$

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Questions: Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle's score to a z-score. A. 1 B. -1 C. -9 D. 9

Solution

Solution Steps

Final Answer

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