It's difficult to pinpoint a single invention that solely relied on the scientific method, as the process is an ongoing cycle of observation, hypothesis, experimentation, and analysis. However, we can point to inventions that demonstrably used the scientific method in their development.

Here are a few examples:

* The Light Bulb: Thomas Edison's invention of the incandescent light bulb wasn't a single "Eureka!" moment. He experimented with numerous materials and filament designs, meticulously testing and refining his hypotheses to achieve a practical and long-lasting light source. This process embodies the scientific method.

* Penicillin: Alexander Fleming's discovery of penicillin wasn't planned. He observed a mold inhibiting bacterial growth, leading him to investigate and eventually isolate the active ingredient. This serendipitous discovery, followed by meticulous experimentation and analysis, led to the development of a life-saving antibiotic.

* The Polio Vaccine: Jonas Salk and Albert Sabin developed polio vaccines using the scientific method. They carefully observed the virus, formulated hypotheses about its behavior, and conducted extensive testing to ensure the vaccines were safe and effective. Their work involved rigorous scientific methodology and led to a significant reduction in polio cases worldwide.

The scientific method is a powerful tool for advancing knowledge and creating new inventions. While specific inventions may not be directly attributed to it, the process itself is fundamental to scientific progress and technological innovation.