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 (...

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)?

Nationally, the per capita property tax is $130 per month. A random sample of 36 western cities averages $98 per month with a standard deviation of $5. Is the difference significant? Summarize your conclusions in a sentence or two.