Question

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.

Community College Transfer	No Transfer
n	252	1131
Sample mean time to​ graduate, in years	5.45	4.53
Sample standard deviation time to​ graduate, in years	1.134	1.022

Determine the Test Statistic

T= ___ (round to two decimal places as needed)

Determine the P-Value

P-value= ___ (round to three decimal places as needed)

D) Construct a 95% confidence Interval for community college - no transfer to approximate the mean additional time it takes to complete a bachelor's degree if you begin in community college.

The confidence intervals in the range from ___ to ___

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?

Yes or No

Answer 1

Given :

  

Solution :

The test statistics is given as,

The p value, for t = 11.851 and df = 347.5 is

  

The critical value for α=0.05 is

The confidence interval is in range from 0.767 to 1.073.

From the above, Yes it implies that community college causes you to take extra time to earn a bachelor's degree.

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