Final answer:
Using a State Plane Coordinate System is recommended for statewide distance analysis in Missouri if a state-wide projection isn't available. It's effectiveness depends on the specific analysis, and expert advice may be needed for high precision.
Step-by-step explanation:
If a GIS analyst is looking to perform a distance analysis using statewide data for the state of Missouri and ArcGIS does not have a state-wide projection for this state, it is indeed recommendable to use a State Plane Coordinate System. The State Plane Coordinate System is designed to minimize distortion for a specific area, and while it is often used for small areas, such as a single county, it can be suitable for statewide analysis if other more accurate projection systems are not available.
For extensive and accurate distance measurements statewide, geographers might opt for a projection system that minimizes distortion across the state. Since a projection that works well over a whole state might not exist, the choice of using a State Plane Coordinate System might depend on the specific analysis (It depends on the specific analysis). If high precision is required for the analysis, asking for expert advice (Ask for expert advice) to select the most suitable projection is also a good course of action.