E Homework: Ch 11 HW Question 11, 11.3.7 HW Score: 47.51%, 29.93 of 63 points Save Part 4 of 8 Points: 4.8 of 8 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 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. LY D. The samples are independent. YE. The sample sizes are large (both greater than or equal to 30). c) Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an a = 0.01 level of significance. Perform a hypothesis test. Determine the null and alternative hypotheses. - X O A. Ho: "community college > "no transfer: H1: "community college Ino transfer O C. Ho: "community college = no transfer. H1: "community college Ino transfer n 272 1136 Sample mean time to 5.46 4.43 Determine the test statistic. graduate, in years sample standard 1.179 1.001 t=(Round to two decimal places as needed.) deviation time to graduate, in years Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. The critical value is O B. The lower critical value is . The upper critical value is d) Construct a 99% confidence interval for community college - Ino transfer to approximate the mean additional time it takes to complete a bachelor's degree if you begin in community college. The confidence interval is the range from to (Round to three decimal places as needed.)Question 14, 11.3.19 HW Score: 45.82%, 28.87 at 63 points 9%.) : Homework: Ch 11 HW 9 Points: 1.33 of4 A random sample 0140 adults with no children under the age of 18 years results in a mean daily leisure time oi 5.05 hours, with a standard deviation of 2.48 hours. A random sample of40 adults with children under the age of 18 results in a mean daily leisure time of 4.07 hours, with a standard deviation oi 1.73 hours. Construct and interpret a 95% condence interval {or the mean difference in leisure time between adults with no children and adults with children ([11 p2). Let \"1 represent the mean leisure hours oi adults with no children under the age of 18 and \"2 represent the mean leisure hours of adults with children under the age of 18. The 95% condence interval for (p11 - p12) is the range tron'l hours to hours. (Round to two decimal places as needed.)