It would be an interesting study to find out how mandatory auto insurance affects the price of auto repairs.
I don't know if there is a direct connection. There is 1 state that doesn't require auto insurance, New Hampshire.
Does NH have the lowest auto repair costs? I don't know but I doubt it. After all, there are a bunch of factors at play here, including how much mechanics make. I don't know about mechanics specially, but generally, pay is higher in NH than most other states.
There was a survey that looked at auto repair costs for a check engine light.
Lowest Average Check Engine Light Total Car Repair Costs by State – 2011
(Source: CarMD.com Corp., CarMD® Vehicle Health Index™)
http://corp.carmd.com/Page/Detail/214?subId=215
Ranking State Labor Parts Total Bill
1 Indiana $107.85 $176.10 $283.95
2 Maine $113.65 $175.91 $289.56
3 Wisconsin $108.95 $180.95 $289.90
4 Iowa $112.59 $177.32 $289.91
5 New Hampshire $101.19 $191.47 $292.66
46 Arizona $129.18 $233.47 $362.65
47 Montana $136.00 $228.29 $364.29
48 California $130.54 $237.32 $367.86
49 Utah $138.21 $240.33 $378.54
50 Wyoming $141.48 $247.70 $389.18
Other Key Findings:
The top five states with the highest car repair costs are from the West, including Wyoming, Utah, California, Montana and Arizona. This can partially be attributed to higher amounts of airborne dust. By putting off replacing air filters in western states, vehicle owners put their vehicles’ mass air flow sensors at risk. On average, this is a $400 repair.
Three of five states with the lowest car repair costs are from the Midwest, including: Indiana, Wisconsin and Iowa. Rounding out the most affordable states for auto repair are Maine and New Hampshire from the Northeastern U.S.