what is the z-score for the given raw score, mean and standard deviation, assume a normal probability dist.
raw score=66,u=60, and 0=6
u and o are those wierd symbols
is the answer 1, 10, 6, or 66
'u' = mu
'o' = sigma
(Be sure to write them correctly when turning your work in).
The z score can be found by z = (x-u)/o
z = (66 - 60)/6
z = 1
Z = (x-μ)/SD, where x = raw score, μ = mean and SD = standard deviation.
To calculate the z-score, you can use the formula:
z = (X - µ) / σ
Where:
- X is the raw score
- µ (pronounced "mu") is the mean of the distribution
- σ (pronounced "sigma") is the standard deviation of the distribution
In this case, X = 66, µ = 60, and σ = 6. Now we substitute these values into the formula:
z = (66 - 60) / 6
z = 6 / 6
z = 1
Therefore, the z-score for the given raw score, mean, and standard deviation is 1. Hence, the answer is 1.