MATH 110 Module 10 Exam (RATED A+) Questions and Answers- Portage Learning

MATH 110 Module 10 Exam (RATED A+) Questions and Answers- Portage Learning Exam Page 1 Find the value of X2 for 20 degrees of freedom and an area of .010 in the right tail of the chi- square distribution. X2=37.566 Answer Key Exam Page 2 Find the value of X2 for 13 degrees of freedom and an area of .100 in the left tail of the chi- square distribution. (1-.100) = 0.900 X2 = 7.042 Answer Key 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 X2(.90) = 10.085 X2(.10) = 24.769 Answer Key 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 Answer Key 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. H0: = Mayor is correct H1: Mayor is not correct Ei=npi n=285 DOF = 3-1 = 2 LOS = .05 (.05,2) = 5.991 100,000 or more = (.30*285) = 85.5 30,000-100,000 = (.60*285) = 171 <30,000 = (.10*285)= 28.5 X2= (100-85.5)2/85.5 + (150-171)2/171 + (35-28.5)2/28.5 = 6.52 6.52>5.991, therefore we will reject the null hypothesis. Answer Key