The town is described as being a Mid-Western town, which would be in the Central time zone. However the clock tower and execution are at 9/9:30 respectively, while at one point the same time the radio says it is 9a Eastern standard. 9a Eastern would be 8a Central.
The episode is set in the present (1964) and concludes with a public hanging. No public executions had taken place in the United States since 1936.
When the clock is shown at 7:30, the clock tolls the "full hour" Westminster chime, rather than the 1/2 - hour chime.
As the sheriff's car pulls up at about 16 minutes the license plate seen is a civilian California plate (NBW 224). Law enforcement used "E" plates at that time, and this would also be inconsistent for a "Midwestern town".