An MBA admissions officer wishes to predict an MBA applicant's grade point average (GPA) for the MBA program on the basis of the applicant's score on the Graduate Management Admission Test (GMAT) and their undergraduate GPA (UGPA). The admissions officer used a random sample of previously admitted applicants to build a regression tree that can be used to predict the MBA GPAs of future MBA students. Below is the final regression tree. Based on this regression tree, what proportion of the admitted applicants in the sample had both a GMAT score of at least 740 and an undergraduate GPA of at least 3.87?
A) .512
B) .339
C) .254
D) .122
E) There is insufficient information to determine the answer.

Question

An MBA admissions officer wishes to predict an MBA applicant's grade point average (GPA) for the MBA program on the basis of the applicant's score on the Graduate Management Admission Test (GMAT) and their undergraduate GPA (UGPA). The admissions officer used a random sample of previously admitted applicants to build a regression tree that can be used to predict the MBA GPAs of future MBA students. Below is the final regression tree.  Based on this regression tree, what proportion of the admitted applicants in the sample had both a GMAT score of at least 740 and an undergraduate GPA of at least 3.87?
A) .512 
B) .339 
C) .254 
D) .122 
E) There is insufficient information to determine the answer.

Quizplus · Accepted Answer

These would all be among the 507 admitted applicants with GMAT ≥ 650. Furthermore, they would all be among the 381 of those with UGPA ≥ 3.87. Of those, there is a Count of 129 that have GMAT ≥ 740. This represents a proportion of 129/1056 = 0.122 of the total sample.

An MBA Admissions Officer Wishes to Predict an MBA Applicant's