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 )below. Click here to view the sample data. Click here to view Student's t-distribution table. U rcommunity college rno transrerT rcommunity college rno transrer O B. Ho: Hcommunity college > Hno transfer H1: Pcommunity college Hno transfer O D. Ho: Heommunity college = Pno transfer: H1: Pcommunity college Hno transfer 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 Hcommunity college - Hno transfer to approximate the mean additional time it takes 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.)

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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.
"U' rcommunity college
rno transrer T rcommunity college
Pno transter
O B. Ho: Hcommunity college > Hno transfer: HPcommunity college <Pno transfer
O C. Ho: Hcommunity college = Hno transfer: H;:Hcommunity college > Hno transfer
O D. Ho: Hcommunity college = Hno transfer: H;: Hcommunity college <Hno transfer
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 Hcommunity 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
to
(Round to three decimal places as needed.)
Transcribed Image Text: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. "U' rcommunity college rno transrer T rcommunity college Pno transter O B. Ho: Hcommunity college > Hno transfer: HPcommunity college <Pno transfer O C. Ho: Hcommunity college = Hno transfer: H;:Hcommunity college > Hno transfer O D. Ho: Hcommunity college = Hno transfer: H;: Hcommunity college <Hno transfer 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 Hcommunity 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 to (Round to three decimal places as needed.)
i sample data
Community
College Transfer
No Transfer
274
1142
Sample mean time to
graduate, in years
Sample standard
5.44
4.51
1.132
1.023
deviation time to
graduate, in years
Transcribed Image Text:i sample data Community College Transfer No Transfer 274 1142 Sample mean time to graduate, in years Sample standard 5.44 4.51 1.132 1.023 deviation time to graduate, in years
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