TREASURIES-Prices slip, yields rangebound on China, euro zone

* U.S. service sector data due at 10:00 am (1500 GMT

* China budget to support consumer-led growth

* Euro zone retail sales, PMI data better than expected

NEW YORK, March 5 (Reuters) - Prices for U.S. Treasuries fell on Tuesday as growth hopes in China and European data boosted riskier assets such as stocks, but yields stayed rangebound as investors looked to key events later in the week. Outgoing Chinese Premier Wen Jiabao on Tuesday announced record government spending in 2013 that will sustain growth, cheering investors who see the powerhouse emerging market helping offset slow growth elsewhere. In addition, euro zone retail and PMI data both notched better-than-expected results, lifting hopes the bloc's economies could be gaining momentum. Nevertheless, Treasuries stayed within recent ranges as investors saw little to change their views of easy U.S. monetary policy and still-sluggish growth in much of the world. "We're not really making any real headway either way," said Justin Lederer, Treasury strategist at Cantor, Fitzgerald in New York. "You really need a major headline" to push Treasuries into a new range. Benchmark 10-year Treasury notes fell 5/32 in price to yield 1.894 percent, up from 1.8789 percent on Monday. Prices for 30-year bonds slipped 11/32 to yield 3.106 percent, up from 3.088 percent late Monday. Investors were awaiting a report on the vast U.S. services sector, expected to show a relatively unchanged pace of growth in February. The Institute for Supply Management's non-manufacturing PMI index report is due at 10:00 am (1500 GMT). But analysts said investors could be hesitant to take large positions ahead of a European Central Bank meeting on Thursday and U.S. payrolls data for February on Friday. Tuesday's euro zone retail data, as well as an upward revision to earlier PMI data, "reinforces our belief that the ECB will keep interest rates on hold on Thursday," said Martin van Vliet of ING Bank. Analysts see Friday's nonfarm payrolls data pointing to ongoing healing in the labor market, with analysts in a Reuters poll calling for gains of 160,000. The Federal Reserve has emphasized the need to see a lower unemployment rate in weighing U.S. monetary policy. Until the unemployment rate, currently at 7.9 percent, edges closer to the bank's goal of 6.5 percent, analysts say Fed Chairman Ben Bernanke is unlikely to lead the central bank into tightening its ultra-loose policy. The Fed is buying $40 billion of mortgage-backed securities and $45 billion of Treasuries per month in an effort to prop up the economy. Many analysts expect the open-ended program to continue through 2013.