Question 11, 11.3.7-T E Homework: Ch 11 HW: Two Sample Procedure HW Score: 65%, 11.05 of 17 points Part 3 of 8 Save Points: 0.2 of 1 A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research was to determine whether students who first attended community college took longer to attain a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table attached below summarize the results of his study. Complete parts a) through e) below. Eff Click the icon to view the sample data. - X Sample data a) What is the response variable in this study? What is the explanatory variable? Community No Transfer College Transfer O A. The response variable is the time to graduate. The explanatory variable is the number of students. n 263 1164 O B. The response variable is the use of community college or not. The explanatory variable is the time to graduate. Sample mean time to 5.38 4.47 graduate, in years C. The response variable is the time to graduate. The explanatory variable is the use of community college or not. Sample standard 1.163 1.021 O D. The response variable is the number of students. The explanatory variable is the time to graduate. deviation time to graduate, in years b) Explain why this study can be analyzed using inference of two sample means. Determine what qualifications are met to perform the hypothesis test about the difference between two means. Select all that apply. A. The population is given to be normally distributed. B. The sample sizes are not more than 5% of the population. Print Done Y C. The sample sizes are large (both greater than or equal to 30). . The samples are independent E. The samples can be reasonably assumed to be random. c) Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an a = 0.05 level of significance. Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: Hcommunity college " Hno transfer. 1: Hcommunity college > Ino transfer O B. Ho: Hcommunity college = Hno transfer. 1: "community college Ino transfer O C. Ho: Hcommunity college = Hno transfer. H1: Hcommunity college Ino transfer O D. Ho: Hcommunity college > Hno transfer. H1: Hcommunity college "Hno transfer