MATH 110-Introduction to Statistics Module 10 Exam

MATH 110-Introduction to Statistics Module 10 Exam MATH 110-Introduction to Statistics Module 10 Exam Module 10 Exam Page 1 Find the value of X2 for 20 degrees of freedom and an area of .010 in the right tail of the chisquare distribution. Find the value of X2 for 20 degrees of freedom and an area of .010 in the right tail of the chisquare distribution. Look across the top of the chi-square distribution table for .010, then look down the left column for 20. These two meet at X2 Exam Page 3 Find the value of X2 values that separate the middle 80 % from the rest of the distribution for 17 degrees of freedom. (1-.80) = .20 (.20/2) = .10 X 2 (.90) = 10.085 X 2 (.10) = 24.769 Exam Page 4 Find the critical value of F for DOF=(4,17) and area in the right tail of .05 DOF(4,17) F = 2.96 Exam Page 5 The mayor of a large city claims that 30 % of the families in the city earn more than $ 100,000 per year; 60 % earn between $ 30,000 and $ 100,000 (inclusive); 10 % earn less than $ 30,000 per year. In order to test the mayor’s claim, 285 families from the city are surveyed and it is found that: 100 of the families earn more than $ 100,000 per year; 150 of the families earn between $ 30,000 and $ 100,000 per year (inclusive); 35 of the families earn less $ 30,000. Test the mayor’s claim based on 5 % significance level