If a control mean is 200 and SD is 10, which Z-score corresponds to a result of 180?

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Prepare for the Laboratory Quality Control Test with multiple choice questions and detailed explanations. Enhance your knowledge in quality assurance and laboratory standards. Ace your exam!

Multiple Choice

If a control mean is 200 and SD is 10, which Z-score corresponds to a result of 180?

Explanation:
Z-scores quantify how many standard deviations a value is from the mean. Compute Z = (X - μ) / σ. With X = 180, μ = 200, and σ = 10, Z = (180 - 200) / 10 = -20 / 10 = -2. So the result is two standard deviations below the mean, which corresponds to a Z-score of -2. For context, a Z of 0 would be 200, a Z of -1 would be 190, and a Z of -3 would be 170, confirming that 180 aligns with -2.

Z-scores quantify how many standard deviations a value is from the mean. Compute Z = (X - μ) / σ. With X = 180, μ = 200, and σ = 10, Z = (180 - 200) / 10 = -20 / 10 = -2. So the result is two standard deviations below the mean, which corresponds to a Z-score of -2. For context, a Z of 0 would be 200, a Z of -1 would be 190, and a Z of -3 would be 170, confirming that 180 aligns with -2.

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