Question: The following statistics were derived from a survey dividing the total annual incomes of sponsored research university professors from those teaching at universities with little or no sponsored research:

Research Universities Other Universities

Sample Size: 250 Sample Size: 400

Mean: $97,400 Mean: $68,750

Std. Dev.: $27,200 Std. Dev.: $24,500

Using a 1% significance level, can it be shown that the population of Research University Professors earns significantly more, on the average, than the population of Professors at Other Universities?