Assuming that the data are normally distributed with a mean of 45 and a standard deviation of 3.25, what is the z-score for a value of 40? (Points : 6)
1.54
2.38
-1.36
-1.54
Z = (score-mean)/SD
Insert values and calculate.
To determine the z-score for a value of 40, you can use the formula: z = (X - μ) / σ, where X is the given value, μ is the mean, and σ is the standard deviation.
Substituting the given values into the formula, we get:
z = (40 - 45) / 3.25
Simplifying this equation gives:
z = -5 / 3.25
Calculating the value, we find:
z ≈ -1.54
Therefore, the z-score for a value of 40 is approximately -1.54.