Chicago Fed manufacturing index fell in March Monday May 12, 11:59 am ET NEW YORK, May 12 (Reuters) - Details of the Federal Reserve Bank (News - Websites) of Chicago's monthly Mid-west manufacturing index for February and March, released on Monday: Midwest auto sector output posted the largest declines in the two months of the four sectors, falling 3.5 percent in February and another 2.0 percent in March. The Chicago Fed released figures for both February and March after delaying the data because of an annual revision of state employment data. Percent change: Mch Feb Mch03/02 CFMMI -0.8 -1.4 -2.2...