Let say you want to test whether the population distributions of the number of goals scored (in all competitions) are the same for the 90 European clubs. As you don't have much time in your hands, you select a random sample of 10 matches for each club with name started with letter A to L (e.g., Arsenal, Burnley, ..., Lazio) and a random sample of 15 matches for each club with name started with letter M to Z (e.g., Manchester City, ..., Zenit St Petersburg). If you use the Kruskal-Wallis test, what is the degree of freedom?

About 3% of the population has a particular genetic mutation. 900 people are randomly selected.Find the mean for the number of people with the genetic mutation in such groups of 900.

About 2% of the population has a particular genetic mutation. 800 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 800.

Maryland, as the four U.S. cities with the highest percentage of millionaires (Kiplinger website). Consider a sample of data that show the following number of millionaires for samples of individuals from each of the four cities. Millionaire Cannot conclude Bridgeport, CT CA San Jose, CA Yes 42 36 No 458 264 a. What is the estimate of the percentage of millionaires in each of these cities (to 1 decimal)? 0.436 Use Table 3 of Appendix B to find the p-value. The p-value is greater than 0.10 What is your conclusion? City Washington, D.C. 35 365 Bridgeport, San Jose, Washington, Lexington Park, CT D.C. MD Lexington Park, 46 27.4 Percentage, % 36.5 b. Using a = 0.05 level of significance, test for the equality of the population proportion of millionaires for these four cities. What is the p-value? Compute the value of the x² test statistic (to 3 decimals). 36.5 MD 33 367 that there is a difference among the population proportion of millionaires for these four cities.