In a large skillet heat 1 TBS cooking oil. Add chopped peppers and onions. Cook until softened. Add in ground beef and brown thoroughly.
Place cooked ground beef, peppers and onions into crockpot. Add tomatoes, diced chilis, seasonings and beef broth. Mix well.
Cover and cook on low for 6 hours or on high for 4 hours. Remove lid and add dry uncooked pasta and submerge into liquid. Cover and cook an additional 30 - 45 minutes until pasta is tender. Turn off crockpot and mix in shredded cheddar cheese.