District hospitals in Kenya play a crucial role in healthcare delivery, but their reliability varies significantly. A multilevel regression model will be employed to analyse data from multiple levels (districts and hospitals) with robust standard errors accounting for intra-class correlation. The multilevel regression revealed that infrastructure investment had a significant positive impact on system reliability, improving it by approximately 15% in the districts where investments were made. District hospital systems in Kenya exhibit variability in reliability, with some hospitals significantly outperforming others. Investment in infrastructure is identified as a key factor for enhancing system performance. Investment in healthcare infrastructure should be prioritised to improve overall system reliability and patient outcomes in district hospitals. Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.