Question #11 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. Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an a = 0.10 level of significance. Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: "community college > Hno transfer. H1: "community college #no transfer O C. Ho: "community college Ino transfer Community No Transfer O D. Ho: "community college = Hno transfer: H1: "community college Hno carpet Calculate the test statistic, to. to =(Round to two decimal places as needed.) Now find the critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) A. to = B. tax / 2 =Question #8 To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the o = 0.10 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Click here to view the table of data. Click here to view the table of critical t-values. - X Table of height data Height of Height of Father, Xi Son, Yi 69.6 74.7 69.8 73.3 71.1 73.6 67.8 69.6 69.2 70.4 71.2 71.8 70.1 70.0 Identify the critical value(s) for this test. Select the correct choice below and fill in all answer boxes within your choice. 72.1 71.5 (Round to two decimal places as needed.) 70.2 69.1 70.8 68.9 O A. - to = 68.2 65.6 68.6 35.1 O B. ta/2= or - to/2= 68.2 63.3 O c. to =