b) Explain why this study can be analyzed using inference of two sample means. Select all that apply. O A. The sample sizes are large (both greater than or equal to 30). O B. The sample sizes are not more than 5% of the population. c. The samples can be reasonably assumed to be random. O D. The population is given to be normally distributed. O E. The samples are independent.

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just the last part i included a pic of the sample data, thank you!

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.
a) What is the response variable in this study? What is the explanatory variable?
O A. The response variable is the use of community college or not. The explanatory variable is the time to graduate.
B. The response variable is the time to graduate. The explanatory variable is the use of community college or not.
O C. The response variable is the number of students. The explanatory variable is the time to graduate.
O D. The response variable is the time to graduate. The explanatory variable is the number of students.
b) Explain why this study can be analyzed using inference of two sample means. Select all that apply.
O A. The sample sizes are large (both greater than or equal to 30).
O B. The sample sizes are not more than 5% of the population.
O C. The samples can be reasonably assumed to be random.
O D. The population is given to be normally distributed.
O E. The samples are independent.
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. a) What is the response variable in this study? What is the explanatory variable? O A. The response variable is the use of community college or not. The explanatory variable is the time to graduate. B. The response variable is the time to graduate. The explanatory variable is the use of community college or not. O C. The response variable is the number of students. The explanatory variable is the time to graduate. O D. The response variable is the time to graduate. The explanatory variable is the number of students. b) Explain why this study can be analyzed using inference of two sample means. Select all that apply. O A. The sample sizes are large (both greater than or equal to 30). O B. The sample sizes are not more than 5% of the population. O C. The samples can be reasonably assumed to be random. O D. The population is given to be normally distributed. O E. The samples are independent.
i
sample data
Community
College Transfer
No Transfer
256
1131
Sample mean time to
graduate, in years
Sample standard
5.31
4.28
1.177
1.017
deviation time to
graduate, in years
Transcribed Image Text:i sample data Community College Transfer No Transfer 256 1131 Sample mean time to graduate, in years Sample standard 5.31 4.28 1.177 1.017 deviation time to graduate, in years
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