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 $96,000,
which of these is least likely to be the average salary of another of the
groups?
A. $96,000
B. $85,000
C. $97,000
D. $98,000

Answer 1

Explanation:

In a scenario where the sampling variability is low, it means that the data points are relatively close to the mean (average) salary of the group. Given that the average salary of one group is $96,000, it's reasonable to assume that other groups' average salaries will be close to this figure.

Therefore, the least likely average salary among the options provided is likely to be the one that deviates the most from $96,000. In this case, option B with an average salary of $85,000 is the least likely because it is $11,000 less than the reference group's average, which represents a relatively larger deviation compared to the other options.