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, YD. The samples are independent. YE. The samples can be reasonably assumed to be random. 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. O A. Ho: Hcommunity college = Hno transfer: H1: Hoommunity college Pno transfer O C. Ho: Hcommunity college > Hno transfer H1: Hoommunity college Pno transfer Determine the test statistic.

Algebra: Structure And Method, Book 1
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ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Section4.8: Rate-time-distance Problems
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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.
D. The samples are independent.
E. The samples can be reasonably assumed to be random.
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.
O A. Ho: Hcommunity college = Hno transfer: H1: Hcommunity college <Hno transfer
O B. Ho: Hcommunity college < Hno transfer: H1: Hcommunity college > Hno transfer
O C. Ho: Hcommunity college > Hno transfer: H1: Hcommunity college <Hno transfer
OD. Ho: Hcommunity college = Pno transfer H: Pcommunity college Pno transfer
Determine the test statistic.
t=
(Round to two 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. D. The samples are independent. E. The samples can be reasonably assumed to be random. 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. O A. Ho: Hcommunity college = Hno transfer: H1: Hcommunity college <Hno transfer O B. Ho: Hcommunity college < Hno transfer: H1: Hcommunity college > Hno transfer O C. Ho: Hcommunity college > Hno transfer: H1: Hcommunity college <Hno transfer OD. Ho: Hcommunity college = Pno transfer H: Pcommunity college Pno transfer Determine the test statistic. t= (Round to two decimal places as needed.)
sample data
Community
College Transfer
No Transfer
256
1150
Sample mean time to
graduate, in years
Sample standard
5.45
4.44
1.168
1.024
deviation time to
graduate, in years
Transcribed Image Text:sample data Community College Transfer No Transfer 256 1150 Sample mean time to graduate, in years Sample standard 5.45 4.44 1.168 1.024 deviation time to graduate, in years
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