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Elapsed Time to Earn a Bachelor’s Degree Clifford Adelman,
Chapter 11, Problem 7AYU(choose chapter or problem)
Problem 7AYU
Problem
Elapsed Time to Earn a Bachelor’s Degree Clifford Adelman, a researcher with the Department of Education, followed a cohort of students who graduated from high school in 1992. He monitored 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 summarize the results of his study.
|
Community College to 4-Year Transfer |
No Transfer |
n |
268 |
1145 |
Sample mean time to graduate in years |
5.43 |
4.43 |
Sample standard deviation time to graduate in years |
1.162 |
1.015 |
(a) Does the evidence suggest that community college transfer students take longer to attain a bachelor’s degree? Use an α = 0.01 level of significance.
(b) Construct a 95% confidence interval for μcommunity college - μno transfer to approximate the mean additional time it takes to complete a bachelor’s degree if you begin in community college.
(c) Do the results of parts (a) and (b) imply that community college causes you to take extra time to earn a bachelor’s degree? Cite some reasons that you think might contribute to the extra time to graduate.
Questions & Answers
QUESTION:
Problem 7AYU
Problem
Elapsed Time to Earn a Bachelor’s Degree Clifford Adelman, a researcher with the Department of Education, followed a cohort of students who graduated from high school in 1992. He monitored 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 summarize the results of his study.
|
Community College to 4-Year Transfer |
No Transfer |
n |
268 |
1145 |
Sample mean time to graduate in years |
5.43 |
4.43 |
Sample standard deviation time to graduate in years |
1.162 |
1.015 |
(a) Does the evidence suggest that community college transfer students take longer to attain a bachelor’s degree? Use an α = 0.01 level of significance.
(b) Construct a 95% confidence interval for μcommunity college - μno transfer to approximate the mean additional time it takes to complete a bachelor’s degree if you begin in community college.
(c) Do the results of parts (a) and (b) imply that community college causes you to take extra time to earn a bachelor’s degree? Cite some reasons that you think might contribute to the extra time to graduate.
ANSWER:
Answer :
Step 1 :
In the given problem a researcher followed a cohort of students who graduated from high school in 1992. He monitored the progress the students made toward completing a bachelor’s degree. The data in the table summarize the results of his study.
|
Community college to 4 year transfer |
No transfer |
n |
268 |
1145 |
Sample mean time to graduate in years , |