Question

Different groups of 100 graduates of a business school were asked the
starting annual salary for their first job after graduation, and the sampling
variability was low. If the average salary of one of the groups was $88,000,
which of these is least likely to be the average salary of another of the
groups?
O
A. $87,000
O
B. $88,000
O
C. $89,000
O
D. $76,000

Answer 1

Using the Central Limit Theorem, it is found that the option that contains the salary which is least likely to be the average salary of another of the groups is given by:

D. $76,000

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$.

Considering the average salary of one of the groups was $88,000, and that there was low variability, most sample means will be clustered around $88,000, and the one which is the farthest, from an absolute value standpoint, is given by option D.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213