The Z score of the sample mean on the distribution of means is:
A)different from a normal Z score because an estimated population standard deviation is used
B)smaller than normal due to the reduced variance in the distribution of means
C)conceptually similar to creating a Z score from a raw score
D)equivalent to the sample mean divided by the population variance

Question

Quizplus · Accepted Answer

The Z score of the sample mean is conceptually similar to creating a Z score from a raw score because both involve standardizing a score by subtracting the mean and dividing by the standard deviation. However, in the case of the Z score of the sample mean, we use the estimated standard deviation of the sampling distribution instead of the population standard deviation. Therefore, choices A, B, and D are incorrect.

The Z Score of the Sample Mean on the Distribution