A sample of 105 workers in the Roadster Division of the Toy Car Factory earns an average of $24,375 per year. The average salary for all workers is $24,230 with a standard deviation of $523. Are...

A sample of 105 workers in the Roadster Division of the Toy Car Factory earns an average of $24,375 per year. The average salary for all workers is $24,230 with a standard deviation of $523. Are workers in the Roadster Division overpaid? Conduct both one- and two-tailed tests.

A random sample of 26 sociology graduates in BC scored an average of 458 on the GRE Advanced Sociology test with a standard deviation of 20. Is this significantly different from the national average ( = 440)?