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. E 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 o not. O B. The response variable is the time to graduate. The explanatory variable is the number of students. O C. The response variable is the use of community college or not. The explanatory variable is the time to graduate. O 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. O A. The samples can be reasonably assumed to be random. O B. The sample sizes are not more than 5% of the population. Sample Data O c. The samples are independent. O D. The population is given to be normally distributed. Community College Transfer 254 No Transfer O E. The sample sizes are large (both greater than or equal to 30). 1113 Sample mean time to graduate, in years Sample standard deviation time to 5.39 4.41 1.148 1.022 graduate, in years
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. E 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 o not. O B. The response variable is the time to graduate. The explanatory variable is the number of students. O C. The response variable is the use of community college or not. The explanatory variable is the time to graduate. O 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. O A. The samples can be reasonably assumed to be random. O B. The sample sizes are not more than 5% of the population. Sample Data O c. The samples are independent. O D. The population is given to be normally distributed. Community College Transfer 254 No Transfer O E. The sample sizes are large (both greater than or equal to 30). 1113 Sample mean time to graduate, in years Sample standard deviation time to 5.39 4.41 1.148 1.022 graduate, in years
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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 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 can be reasonably assumed to be random.
B. The sample sizes are not more than 5% of the population.
Sample Data
C. The samples are independent.
D. The population is given to be normally distributed.
Community
College Transfer
No Transfer
E. The sample sizes are large (both greater than or equal to 30).
254
1113
Sample mean time to
graduate, in years
Sample standard
deviation time to
5.39
4.41
1.148
1.022
graduate, in years
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