You are a researcher working with the General Social Survey (GSS) on a project focusing on income and health service utilization among men. The first part of your project involves collecting random samples from men. You collect a random sample of men (N = 1500) and determine that the average income for this group is $31,607. Based on research, you know that the average income for males in the population is $33,405 with a standard deviation of $8,432. Before you do any additional analyses, you need to determine whether the mean earnings of men in the General Social Survey is representative of the earnings of the entire U.S. male population. In essence, You want to understand your sample’s value is really different from the population’s. Please reflect on how you would engage in statistical hypothesis testing and then provide the responses to the following items. This is a two-tailed test. Please consider alpha = .05. Fill in the blank:
Compute the standard error of the mean(two decimal places) =