Score on dental anxiety scale range from 0 ( no anxi) to 20 ( extreme anxiety). The scores are normally distributed with a mean of 11 and a standard deviation of 4. Find the z score for the given score on this dental anxiety scale. 16
16 is 5/4 = 1.25 σ above the mean of 11
So run, do not walk, to your Z table.
To find the z-score for a given score on the dental anxiety scale, we need to use the formula:
z = (x - μ) / σ
where:
z = z-score
x = given score on the dental anxiety scale
μ = mean of the distribution (11 in this case)
σ = standard deviation of the distribution (4 in this case)
Let's substitute the given values into the formula and calculate the z-score for a score of 16:
z = (16 - 11) / 4
z = 5 / 4
z = 1.25
Therefore, the z-score for a score of 16 on the dental anxiety scale is 1.25.