Every 7,500 miles is pretty much the standard recommended interval for new cars.
The “every 3,000 miles” interval is listed under the Car Care Myths section of Consumer Reports. It’s in the Subscribers only section, so I shan’t quote it and cannot link to it here, but the gist of it is that you should follow your owner’s manual. The owner’s manual probably has two maintenance schedules, the regular one, and one for “severe driving conditions”, which, depending upon the manufacturer, may reduce that from 7,500 to 3,750 or 3,000.
Here’s some advice from one oil manufacturer, which pretty closely matches Consumer Reports, except that they indicate that 75% of people fall under the severe driving conditions modifier.
This FAQ from an auto expert site has some info about why and when you should change your oil, and recommends more frequent changes for those who aren’t absolutely conscientious about their auto maintenence.
This explains why frequent idling requires more frequent oil changes.
Here is another motor oil FAQ, which says what the others say, which is every 3,000 miles is probably overkill except under severe driving conditions. It also has a lot of other helpful information, especially as it relates to Oil Change places (which often use non-detergent SAE 30 and cheap filters).
The guys at Cartalk recommend every 5,000 miles, except under extreme conditions.
By the way, Cartalk is a great place to find answers to automobile questions that are easy to understand without being overly simplistic.
Do you drive frequently on dirt roads, in extremely high or low temperatures, in primarily short trips, or primarily in stop-and go conditions? Is the only time you check the oil when the “oil” light comes on? Follow the severe driving schedule.
Do you drive primarily on highways and major thoroughfares, and in non extreme temperatures? Do you check your oil regularly (every few hundred miles, or once a week)? Follow the regular maintenence schedule.