Problem 55
Question
Scores on a dental anxiety scale range from 0 (no anxiety) to 20 (extreme anxiety). The scores are normally distributed with a mean of 11 and a standard deviation of 4. In Exercises 49-56, find the z-score for the given score on this dental anxiety scale. 6
Step-by-Step Solution
Verified Answer
The z-score for the given score 6 on the dental anxiety scale is -1.25.
1Step 1: Understand the Z-score formula
A Z-score is found using the formula: Z = (X - μ) / σ. Here, X is the given score, μ represents the mean, and σ stands for the standard deviation.
2Step 2: Plug the given details into the Z-score formula
In this case, the task is to find the z-score for a score of 6. The mean μ is given as 11 and the standard deviation σ is given as 4. Therefore, substitute these values into the formula to get Z = (6 - 11) / 4.
3Step 3: Calculate the Z-score
Perform the operations in the formula to get Z = -5 / 4 = -1.25
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Scores on a dental anxiety scale range from 0 (no anxiety) to 20 (extreme anxiety). The scores are normally distributed with a mean of 11 and a standard deviati
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