For a sample with a standard deviation of s = 10,a score with a deviation of +5 will have a z-score of z = 0.50.

Question

Quizplus · Accepted Answer

To calculate the z-score, we use the formula:

z = (x - μ) / s

Where x is the score, μ is the mean, and s is the standard deviation.

Since the sample standard deviation is given as s = 10, we know that the z-score for a score that is 5 points above the mean (i.e., a deviation of +5) is:

z = (x - μ) / 10

If the deviation is +5, then the score is 5 points above the mean, so we have:

x = μ + 5

Substituting this into the formula, we get:

z = (μ + 5 - μ) / 10
z = 5 / 10
z = 0.5

Therefore, the statement is true, and the answer is A.

For a Sample with a Standard Deviation of S =