A random survey of enrollment at 35 community colleges across the United States yielded the following figures:
6,414; 1,549; 2,108; 9,348; 21,829; 4,300; 5,942; 5,721; 2,825; 2,044; 5,481; 5,200; 5,855; 2,749; 10,012; 6,355; 26,999; 9,412; 7,681; 3,199; 17,498; 9,199; 7,381; 18,312; 6,557; 13,711; 17,769; 7,494; 2,769; 2,862; 1,264; 7,286; 28,166; 5,082; 11,621.
Assume the underlying population is normal.
Construct a 95% confidence interval for the population mean enrollment at community colleges in the United States. State the confidence interval