What are the answers for the problems below? please give me explanations as well. please ignore the red number. thank you

2. Mathematics majors at Wisconsin State College 4. A case of 400 batteries contains 10 defective are taking the GRE. Among 21 of these students, batteries. Ten batteries are chosen at random. the number of math courses taken by each was If X represents the number of batteries that are compared to the student's GRE score, and it was defective, which of the following is the most determined that there was a linear relationship probable value of X? between the number of math courses and GRE i G scores. The results of the regression analysis are - given here: B. | C. 2 Regression Equation: D. 3 GRE = 812.988 + 50.479 Courses E. 4 bt S iy 1 8 5. On the first Saturday of every month of summer, Constant 70.73298 114938 0.000 Dandelion Park has a game in front of their roller I I coaster, which has 100 plastic ducks in water, each Courses 50.478786 | 3.347518 15.0795 | 0.000 with a colored dot on its belly, submerged underwater so it cannot be seen. One of the ducks S=120.37 R-sq =923 has a gold dot, 10 have green dots, and the rest have red dots. Each child under 12 is allowed to choose a Which of the following would represent a 99% duck at random. If the duck has a green dot, the child confidence interval for the slope of the regression may ride the roller coaster for 25 cents. If the duck line? has the gold dot, the child may ride the roller coaster for free. If the duck has a red dot, no discount is A. 50479 8.623 given. If the regular price for the roller coaster is B. 50.479+9.577 $1.50, and if 40% of the roller coaster riders are C. 50479%10.971 children under 12, what is the expected average D. 5047911017 price that is paid for a ride on the roller coaster? E. 50479+ 12.988 A. $0.625 B. $1.360 3. In a hypothesis test for proportion, the null C. $1.375 hypothesis is Hy: p = 0.7 and the alternate D. S1.444 hypothesis is H,: p