Community health centres in Tanzania play a crucial role in healthcare delivery, yet their efficiency varies significantly across different regions. The research employs ARIMA (AutoRegressive Integrated Moving Average) model for forecasting efficiency outcomes. Confidence intervals are used to quantify uncertainty around predictions. ARIMA forecasts indicate that community health centres in rural areas can achieve up to a 15% increase in service delivery efficiency with improved resource allocation strategies. The ARIMA model successfully captures the temporal dynamics of efficiency gains, offering insights for policy makers and healthcare administrators aiming to enhance service provision across Tanzania. Policy recommendations include targeted investments in rural infrastructure and training programmes to maximise efficiency gains. Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.