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Scores on a dental anxiety scale range from 0 (no anxiety) to 40 (extreme anxiety). The scores are normally distributed with a mean of 17 and a standard deviation of 4 . Find the z -score for the given score on this dental anxiety scale. 6 \( z_{6}=\square \) (Type an integer or a decimal.)

Ask by Peters George. in the United States
Feb 26,2025

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The z-score for a score of 6 is -2.75.

Solution

To find the z-score, you can use the formula:   z = (x - μ) / σ Here, x = 6, μ (mean) = 17, and σ (standard deviation) = 4. So,   z = (6 - 17) / 4 = -11 / 4 = -2.75 The z-score for a score of 6 on this dental anxiety scale is -2.75.

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To find the z-score for a score of 6 on the dental anxiety scale, you can use the formula: \[ z = \frac{(X - \mu)}{\sigma} \] Where: - \( X \) is the score (6 in this case), - \( \mu \) is the mean (17), - \( \sigma \) is the standard deviation (4). Plugging in the values: \[ z = \frac{(6 - 17)}{4} = \frac{-11}{4} = -2.75 \] So, \( z_{6} = -2.75 \). Feeling anxious about those dental visits? You’re not alone! Many people experience dental anxiety, but understanding your feelings and preparing for appointments can ease the stress. Practicing relaxation techniques, discussing your concerns with your dentist, and scheduling visits during quieter times can really help. Just remember, every step taken is a step toward a healthier smile! Want to dive deeper into the world of dental anxiety? Consider reading books that explore the psychological aspects of dental health, or research studies focusing on the correlation between anxiety levels and dental attendance. There are insightful articles that provide coping mechanisms and professional advice to help you face the dental chair with confidence!

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