In a normal distribution, the mean ((mu)) is 12 and the standard deviation ((sigma)) is 2. Find the z-score for x = 15.

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Step:1 ：Step 1: Recall the formula for the z-score, which is (z = frac{x - mu}{sigma}), where x is the value from the data, (mu) is the mean, and (sigma) is the standard deviation.Step:2 ：Step 2: Substitute the given values into the formula. Thus, we have (z = frac{15 - 12}{2})Step:3 ：Step 3: Simplify the expression to find the z-score. This gives (z = frac{3}{2} = 1.5)

Answer

Step: 1 ：Step 1: Recall the formula for the z-score, which is (z = frac{x - mu}{sigma}), where x is the value from the data, (mu) is the mean, and (sigma) is the standard deviation.Step: 2 ：Step 2: Substitute the given values into the formula. Thus, we have (z = frac{15 - 12}{2})Step: 3 ：Step 3: Simplify the expression to find the z-score. This gives (z = frac{3}{2} = 1.5)

In a normal distribution, the mean (\(\mu\)) is 12 and the standard deviation (\(\sigma\)) is 2. Find the z-score for x = 15.

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