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. O B. The response variable is the number of students. The explanatory variable is the time to graduate. OC. The response variable is the time to graduate. The explanatory variable is the number of students. O D. The response variable is the use of community college or not. 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. O A. The population is given to be normally distributed. O B. The sample sizes are large (both greater than or equal to 30). O c. The sample sizes are not more than 5% of the population. O D. The samples are independent. O 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 = 0.05 level of significance. Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: Hcommunity college > Hno transfer: H: Hcommunity college Pno transfer O B. Ho: Hcommunity college = Pno transfer: H: Pcommunity college Pno transfer OC. Ho: Hcommunity college

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 in the table
attached below summarize the results of his study. Complete parts a) through e) below.
Click the icon to view the sample data.
a) What is the response variable in this study? What is the explanatory variable?
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 number of students. The explanatory variable is the time to graduate.
C. The response variable is the time to graduate. The explanatory variable is the number of students.
D. The response variable is the use of community college or not. 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 population is given to be normally distributed.
B. The sample sizes are large (both greater than or equal to 30).
C. The sample sizes are not more than 5% of the population.
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 = 0.05 level of significance. Perform a hypothesis test. Determine the null and alternative hypotheses.
O A. Ho: Pcommunity college>no transfer H: Pcommunity college SPno transfer
B. Ho: Hcommunity college = Hno transfer: H1: Hcommunity college
Pno transfer
C. Ho: Pcommunity college Hno transfer: H1: Hcommunity college
> Pno transfer
O D. Ho: Hcommunity college
= Pno transfer H1: Pcommunity college Pno transfer
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 the icon to view the sample data. a) What is the response variable in this study? What is the explanatory variable? 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 number of students. The explanatory variable is the time to graduate. C. The response variable is the time to graduate. The explanatory variable is the number of students. D. The response variable is the use of community college or not. 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 population is given to be normally distributed. B. The sample sizes are large (both greater than or equal to 30). C. The sample sizes are not more than 5% of the population. 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 = 0.05 level of significance. Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: Pcommunity college>no transfer H: Pcommunity college SPno transfer B. Ho: Hcommunity college = Hno transfer: H1: Hcommunity college Pno transfer C. Ho: Pcommunity college Hno transfer: H1: Hcommunity college > Pno transfer O D. Ho: Hcommunity college = Pno transfer H1: Pcommunity college Pno transfer
Sample data
No Transfer
Community
College Transfer
270
1152
Sample mean time to
graduate, in years
Sample standard
deviation time to
5.46
4.41
1.131
1.013
graduate, in years
Print
Done
Transcribed Image Text:Sample data No Transfer Community College Transfer 270 1152 Sample mean time to graduate, in years Sample standard deviation time to 5.46 4.41 1.131 1.013 graduate, in years Print Done
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