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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 wa 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. E Click the icon view the sample data. - X Sample Data a) No Transfer Community College Transfer 250 lege or not. o graduate. 1150 Sample mean time to graduate, in years Sample standard deviation time to graduate, in years 5.33 4.38 1.131 1.021

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 wa 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. E Click the icon view the sample data. - X Sample Data a) No Transfer Community College Transfer 250 lege or not. o graduate. 1150 Sample mean time to graduate, in years Sample standard deviation time to graduate, in years 5.33 4.38 1.131 1.021

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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 i the table attached below summarize the results of his study. Complete parts a) through e) below. E Click the icon to view the sample data. Sample Data a) Community College Transfer No Transfer lege or not. o graduate. 250 1150 Sample mean time to graduate, in years Sample standard 5.33 4.38 1.131 1.021 deviation time to graduate, in years Print Done
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 i the table attached below summarize the results of his study. Complete parts a) through e) below. E Click the icon to view the sample data. Sample Data a) Community College Transfer No Transfer lege or not. o graduate. 250 1150 Sample mean time to graduate, in years Sample standard 5.33 4.38 1.131 1.021 deviation time to graduate, in years Print Done
a) What is the response variable in this study? What is the explanatory variable? O A. The response variable is the time to graduate. The explanatory variable is the use of community college or not. B. The response variable is the time to graduate. The explanatory variable is the number of students. C. The response variable is the use of community college or not. The explanatory variable is the time to graduate. D. The response variable is the number of students. The explanatory variable is the time to graduate. b) Explain why this study can be analyzed using inference of two sample means. Determine what qualifications are met to perform the hypothesis test about the difference between two means. Select all that apply. A. The samples are independent B. The population is given to be normally distributed. C. The samples can be reasonably assumed to be random. D. The sample sizes are not more than 5% of the population. E. The sample sizes are large (both greater than or equal to 30). 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. - X O A. Ho: Hkommunity colege = Hno transter. H: Hommunity collage Hho transter O B. Ho: Hcommunity college = Hno transter, Hi: Hcommunity collage > Hho transter Sample Data O C. Ho: Hcommunity callege <Hnao transter. Hi: Heommunity colloge > Hho transter Community College Transfer No Transfer O D. H: Hommunity colilege Hna transfer. H: Hommunity collage <Hho transter Determine the test statistic. Sampre meai O gra Sar t=O (Round to two decimal places as needed.) 1.134 de graduate, in years Determine the P-value. P-value = (Round to three decimal places as needed.) Print Done Should the hypothesis be rejected? the null hypothesis. The evidence suggest that community college transfer students take longer to attain a bacnelors degree at the=U.01 Ever of signiticance. d) Construct a 95% confidence interval for Hommunity colage -Hho 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 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? No Yes ODD
Transcribed Image Text:a) What is the response variable in this study? What is the explanatory variable? O A. The response variable is the time to graduate. The explanatory variable is the use of community college or not. B. The response variable is the time to graduate. The explanatory variable is the number of students. C. The response variable is the use of community college or not. The explanatory variable is the time to graduate. D. The response variable is the number of students. The explanatory variable is the time to graduate. b) Explain why this study can be analyzed using inference of two sample means. Determine what qualifications are met to perform the hypothesis test about the difference between two means. Select all that apply. A. The samples are independent B. The population is given to be normally distributed. C. The samples can be reasonably assumed to be random. D. The sample sizes are not more than 5% of the population. E. The sample sizes are large (both greater than or equal to 30). 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. - X O A. Ho: Hkommunity colege = Hno transter. H: Hommunity collage Hho transter O B. Ho: Hcommunity college = Hno transter, Hi: Hcommunity collage > Hho transter Sample Data O C. Ho: Hcommunity callege <Hnao transter. Hi: Heommunity colloge > Hho transter Community College Transfer No Transfer O D. H: Hommunity colilege Hna transfer. H: Hommunity collage <Hho transter Determine the test statistic. Sampre meai O gra Sar t=O (Round to two decimal places as needed.) 1.134 de graduate, in years Determine the P-value. P-value = (Round to three decimal places as needed.) Print Done Should the hypothesis be rejected? the null hypothesis. The evidence suggest that community college transfer students take longer to attain a bacnelors degree at the=U.01 Ever of signiticance. d) Construct a 95% confidence interval for Hommunity colage -Hho 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 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? No Yes ODD
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