Volume-limited L_TIR histograms of all galaxies detected at a significance of >3σ in at least one of the three SPIRE bands which are not host to a powerful AGN (black filled histograms) plotted against L_TIR histograms of those SPIRE galaxies hosting a powerful AGN (dashed color histograms) for four different redshift bins. The histograms are normalized in such a way that the two histograms in each panel have the same maximum value. The L_TIR limit used to construct the volume-limited sample for each redshift bin is shown in each panel along with average errors on L_TIR for each subsample. The hosts of powerful AGN are shifted to higher L_TIR values than their counterparts whose nuclei are not undergoing a powerful active phase. The difference in the L_TIR distributions of the two samples is statistically significant at >3σ for all redshift bins, implying a relationship between the presence of a powerful AGN and a stronger than average starburst event.