Data from the latest census was analyzed. It was determined that one-parent households spend less on food away from home that do two-parent households. The mean amount spent by 30 one-parent households is $1876 and the standard deviation is $113. The mean amount spent by 30 two-parent households is $1878 and the standard deviation is $85. At a a=0.05 can you support this conclusion?

Question

Data from the latest census was analyzed. It was determined that one-parent households spend less on food away from home that do two-parent households. The mean amount spent by 30 one-parent households is $1876 and the standard deviation is $113. The mean amount spent by 30 two-parent households is $1878 and the standard deviation is $85. At a a=0.05 can you support this conclusion? 
(please provide complete detailed answer)