How can we determine the representativeness of a sample mean for a particular population?
A)Draw a graph and compare the heights of the bars representing the population and sample means.
B)Convert the sample mean to a z-score and compare the z-score to the critical value.
C)Compare the sample mean to the population mean and compare the difference to the criterion.
D)Compare the sample mean to the population standard deviation and look up its probability.

Question

Quizplus · Accepted Answer

Converting the sample mean to a z-score allows for comparison of the sample mean's distance from the population mean in terms of standard deviations. This method is a standard statistical approach to assess how representative a sample mean is of a population mean, especially when considering the normal distribution.

How Can We Determine the Representativeness of a Sample Mean