A standardized test for graduate school admission has a mean score of
153153
with a standard deviation of
66
and a unimodal, symmetric distribution of scores. A test preparation organization teaches small classes of
99
students at a time. A larger organization teaches classes of
4949
at a time. Both organizations publish the mean scores of all their classes. Complete parts a through c below.
Question content area bottom
Part 1
a) What would you expect the sampling distribution of mean class scores to be for each organization?
A.
The distributions cannot be determined, since the Central Limit Theorem does not apply.
B.
The distribution for the larger organization will be approximately Normal with a mean of
153153.
The sample size for the smaller organization is too small for the Central Limit Theorem to apply.
C.
Both distributions will be approximately Normal with a mean of
153153.
D.
The distribution for the smaller organization will be approximately Normal with a mean of
153153.
The sample size for the larger organization is too large for the Central Limit Theorem to apply.