IQ scores in the US population have an average of µ = 100 and a standard deviation of σ = 15. Suppose a researcher wanted to test whether socioeconomic status (SES) has an effect on IQ scores. The researcher takes a random sample of n = 100 people, selected from a list of the 1000 richest people in the United States. a. Based on this information, what is the expected value of the mean for the sampling distribution?
From your limited data, 100 or greater.
To find the expected value of the mean for the sampling distribution, we can use the formula:
Expected value of the mean = Population mean = µ
Given that the average IQ score in the US population is µ = 100, we can conclude that the expected value of the mean for the sampling distribution is also 100.