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. Determine the test statistic. t= 12.44 (Round to two decimal places as needed.) 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.) A. The critical value is 2.337. O B. The lower critical value is The upper critical value is Should the hypothesis be rejected? Reject the null hypothesis. The evidence does suggest that community college transfer students take longer to attain a bachelor's degree. d) Construct a 95% confidence interval for pcommunity college - Hno 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 (Round to three decimal places as needed.)

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