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 as 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 esults of his study. Complete parts a) through e) below. Click the icon to view the sample data. ]A. The samples are independent. B. The samples can be reasonably assumed to be random. C. The population is given to be normally distributed. OD. The sample sizes are large (both greater than or equal to 30). DE. The sample sizes are not more than 5% of the population. Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an a= 0.10 level of significance. Perform a hypothesis test. Determine the null and alternative hypotheses. OA. Ho: Hcommunity college Hno transfer, H,: Hoommunity college Hno transfer D B. Ho: Heommunity college Pno transfer H: Hoommunity college Hno transfer OC. Ho: Hcommunity college = Hno transfer, Hq: Hoommunity college Hno transfer Lommunity College Transfer 275 5.38 NO iransrer O D. Ho: Peommunity college =Hono transfer H Hoommunity college Hno transfer etermine the test statistic. 1108 4.40 Sample mean time to graduate, in years Sample standard deviation time to graduate, in years (Round to two decimal places as needed.) 1.163 1.025 etermine the P-value. value = (Round to three decimal places as needed.) hould the hypothesis be rejected? | the null hypothesis. The evidence | suggest that community college transfer students take longer to attain a bachelor's degree at the a =0.10 level of significance. a) Construct a 95% confidence interval for Heommunty colege " Hno transter 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 fromO toO (Round to three decimal places as needed.) e) Do the results of parts c) and d) imply that community college causes you to take extra time to earn a bachelor's degree? O Yes O No

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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
vas 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
esults of his study. Complete parts a) through e) below.
E Click the icon to view the sample data.
OA. The samples are independent.
O B. The samples can be reasonably assumed to be random.
OC. The population is given to be normally distributed.
OD. The sample sizes are large (both greater than or equal to 30).
O E. The sample sizes are not more than 5% of the population.
:) Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an a= 0.10 level of significance. Perform a hypothesis test. Determine the null and alternative hypotheses.
O A. Ho: Hcommunity college Hno transfer H1 Hoommunity college *Hno transfer
O B. Ho: Hcommunity college Pno transfer: H1: Hoommunity college Hno transfer
) C. Ho: Hcommunity college = Pno transfer: H1: Hoommunity college Hno transfer
NO iranster
O D. Ho: Hcommunity college = Pno transfer: H1: Hcommunity college Hno transfer
Community
College Transfer
in
275
1108
Determine the test statistic.
Sample mean time to
graduate, in years
Sample standard
deviation time to
5.38
4.40
= (Round to two decimal places as needed.)
1.163
1.025
Determine the P-value.
graduate, in years
P-value = (Round to three decimal places as needed.)
Should the hypothesis be rejected?
the null hypothesis. The evidence
suggest that community college transfer students take longer to attain a bachelor's degree at the a = 0.10 level of significance.
d) Construct a 95% confidence interval for Heommunity college - Hap 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.)
e) Do the results of parts c) and d) imply that community college causes you to take extra time to earn a bachelor's degree?
O Yes
O No
Transcribed Image Text:e 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 vas 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 esults of his study. Complete parts a) through e) below. E Click the icon to view the sample data. OA. The samples are independent. O B. The samples can be reasonably assumed to be random. OC. The population is given to be normally distributed. OD. The sample sizes are large (both greater than or equal to 30). O E. The sample sizes are not more than 5% of the population. :) Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an a= 0.10 level of significance. Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: Hcommunity college Hno transfer H1 Hoommunity college *Hno transfer O B. Ho: Hcommunity college Pno transfer: H1: Hoommunity college Hno transfer ) C. Ho: Hcommunity college = Pno transfer: H1: Hoommunity college Hno transfer NO iranster O D. Ho: Hcommunity college = Pno transfer: H1: Hcommunity college Hno transfer Community College Transfer in 275 1108 Determine the test statistic. Sample mean time to graduate, in years Sample standard deviation time to 5.38 4.40 = (Round to two decimal places as needed.) 1.163 1.025 Determine the P-value. graduate, in years P-value = (Round to three decimal places as needed.) Should the hypothesis be rejected? the null hypothesis. The evidence suggest that community college transfer students take longer to attain a bachelor's degree at the a = 0.10 level of significance. d) Construct a 95% confidence interval for Heommunity college - Hap 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.) e) Do the results of parts c) and d) imply that community college causes you to take extra time to earn a bachelor's degree? O Yes O No
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