Question

A sample has a mean of M=64 and a standard deviation of s=3. What is the z-score for a sample score of X=70?

a. z=+1.00
b. z=+1.25
c. z=-.75
d. z=+2.00

Answer 1

The z-score for a sample score of 70, given a mean of 64 and a standard deviation of 3, is calculated to be +2.00.

Step-by-step explanation:

The z-score for a sample score of X=70, with a mean (M) of 64 and a standard deviation (s) of 3 is calculated using the formula z = (X - M) / s. Plugging in the values, we get:

z = (70 - 64) / 3

z = 6 / 3

z = 2

Therefore, the z-score for a sample score of 70 is +2.00, which indicates that the score is 2 standard deviations above the mean.