O*NET lists Process Engineer as a sample title under both Chemical Engineers and Industrial Engineers. The data you should use depends on what the plant does.
In refineries, chemical plants, food and beverage processing and pharmaceutical manufacturing, process engineers design and tune continuous or batch processes: reactions, separations, heat transfer and flow. These jobs usually ask for a chemical engineering degree and fall under BLS Chemical Engineers, the occupation used on this page.
In plants that machine, mold or assemble parts, a process engineer improves a production step such as welding, molding or coating. Those roles are usually classed as Industrial Engineers, with a BLS median of $102,440 and a middle half of $83,600 to $129,250. If that is your job, the manufacturing and quality engineer pages are the better guide.
Semiconductor fabs sit between the two and hire both chemical engineers and other engineering graduates as process engineers, so check the degree the posting asks for.