A random survey of enrollment at 35 community colleges across the United States yielded the following figures: 6,414; 1,551; 2,109; 9,350; 21,827; 4,301; 5,943; 5,722; 2,827; 2,046; 5,483; 5,198; 5,854; 2,749; 10,010; 6,359; 27,000; 9,416; 7,682; 3,200; 17,499; 9,201; 7,380; 18,315; 6,556; 13,712; 17,768; 7,493; 2,773; 2,861; 1,263; 7,287; 28,164; 5,079; 11,621. Assume the underlying population is normal. Part (a) Part (b) Part (c) Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)