Sample Data A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, menitoring the progress the students made toward completing a bacheior's degree. One aspect of his research was to determine whether students who first attended community college took langer to attain a bachelors dogree than those who inmediately atended and remained at a 4-year institution. The data in the table attached below summarize the results of his study, Cemplete parts a) through e) below. Click the icon to view the sample data. a) What is the response variable in this study? What is the explanatory variable? A. The response variable is the use of community college of not. The explanatory varable is the ime to graduale. B. The response variable is the time to graduate. The explanatory variable is the use of comminity coliege or not. C. The cesponse variable is the time to graduale. The explanatory variable is the number of students: D. The response variable is the number of students. The explanatory variable is the time to graduate. b) Explain why this stuaty can be analyzed using inference of two sample means. Delerrine what quabtcations are met to pertorm the hypotsesis test about the difterence betaeon two mears. Solect al that apply. A. The samples can be reasonably ascumed to be random B. The pepulation is given to be normally distributed. c. The sample sizes ase not more than 5% of the population. D. The sampie sizes are iarge (both greaier than of equal 730 ) t. The samples are independent and aliemative hypothestib. c) Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an = 0.10 level of significance. Perform a hypothesis test. Delermine th and aliemative hypotheses. Delermine the test statiatic: I = (Round to twe decimal places as needed.) Deteatinine the Pivalue. P.value = (Round to three decimal places as needed.) Should the hypothesis be rejected? the nul hypottiesis. The ividence suggest that community colloge fransfor students take longer to attain a bacheiors dogree at the a = 0 , 10 levei of aignicicance. d) Construct a 95% confidence interval for Heometunity colege - Hno transer to approximate the mean addilonal time it takes to complete a bicheloris degree if you begin in community celege. The confidence interval is the range from to (Round to three decimal places as needed.) e) Do the results of parts c) and d) imply that community oolege causes you to take extra time to eam a bachelor's degree?.