A social researcher is interested in understanding the effect of college education on wages. Listed below are the hourly wages for two groups of employees all working in the same position at a particular technology firm. The workers in one group have earned an associate’s degree while members of the other group hold at least a bachelor’s degree. Test the null hypothesis that there are no differences in mean wages by degrees held by employees. What assumptions about the data must be made to use this test?

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Associate's Degree $10.75 $11.25 $11.05 $10.00 $9.70 $11.00 $10.10 $9.40 $9.20 $11.10 Bachelor's Degree $10.75 $12.25 $11.60 $9.80 $9.40 $12.60 $11.80 $10.40 $11.90 $12.70