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

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $25.99Unlock all

Study for the Laboratory Quality Control Test. Utilize flashcards and multiple-choice questions, each with hints and explanations. Excel in 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.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy