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.Click here to view the sample data.Click here to view Student's t-distribution table.a) What is the response variable in this study? What is the explanatory variable?A. The response variable is the time to graduate. The explanatory variable is the number of students.B. The response variable is the time to graduate. The explanatory variable is the use of community college or not.The response variable is the number of students. The explanatory variable is the time to graduate.D. The response variable is the use of community college or not. The explanatory variable is the time to graduateb) Explain why this study can be analyzed using inference of two sample means. Select all that apply.A. The sample sizes are large (both greater than or equal to 30).B. The samples are independent.C. The samples can be reasonably assumed to be random.D. The sample sizes are not more than 5% of the populationE. The population is given to be normally distributed.