1. What is the distinction between distribution-free methods and nonparametric methods?

2. The following data are the net wealth, in billions of dollars, of a random sample of U.S. billionaires in the Forbes 2007 list:22  1.0, 1.0, 1.2, 1.3, 2.5, 2.3, 4.1,  4.8, 2.5, 2.5, 2.7, 5.2, 2.3, 5.5, 2.0, 2.1, 3.5, 4.0, 52.0, 21.5, 5.5, 2.1, 6.0, 1.8, 16.7, 1.8, 18.0, 2.1, 1.9, 3.1, 3.5, 1.4, 1.2, 1.3, 1.1. Do you believe that the wealth of American billion- aires is normally distributed?

3. In a chi-square analysis, the expected count in one of the cells is 2.1. Can you conduct the analysis? If not, what can be   done?

4. New credit card machines use two receipts, to be signed by the payer. This has recently caused confusion as many customers forget to sign the copy they leave with the establishment. If 6 out of 17 randomly selected patrons forgot to sign their slips, test the hypothesis that a full one-half of the customers do so, using CY = 0.05, against a left-tailed alternative.