An online university has a stable student population of 20,000 over the years. T
ID: 449927 • Letter: A
Question
An online university has a stable student population of 20,000 over the years. The university offers modular courses and curricula such that all tracks of majors and concentrations have the following sequential stages with their corresponding designed durations: Stage 1 - General education courses (6 months) Stage 2 - Foundation courses (9 months) Stage 3 - Major courses (18 months) Stage 4 - Concentration courses (15 months) New students can enroll at any time during the year, given that they meet some entrance requirements. After enrolling, students can choose their tracks and start taking online courses. Students can choose to drop out at any time as they wish. All of this means that each student can have his or her own start and end dates. Statistics show that, on average, students spend time on the four stages as much as the designed durations. In addition, at any point in time, the average number of students in the first stage is 2,650; in the second stage 3,852; in the third stage 7,383; and in the fourth stage 6,115. In the fourth stage, thirty students drop out on average; and the remaining students graduate. The retention rate at each stage is the proportion of students who finish the stage and move on to the next one or graduate. The retention rates do not only affect revenues but also the university's rankings. The university's president observes the retention rates closely and takes actions if there are signs of declining retention rates. (a)[2] Draw a process flow diagram showing how students move through different stages. Make sure to have process boundaries in the diagram. Because everything can be done online, there is no waiting time between stages. (b)[2] What is the average number of new enrollments every year? (c)[1 ] What is the retention rate of Stage 1? (%, 2 decimals) (d)(1) What is the retention rate of Stage 2? (%, 2 decimals) (e)(1) What is the retention rate of Stage 3? (%, 2 decimals) (f)(1) What is the retention rate of Stage 4? (%, 2 decimals) (g)(2) What is the proportion of newly enrolled students who would graduate? (%, 2 decimals)Explanation / Answer
Stable student population is 20,000 per year over the years.
Stage 1 is of duration 6 months with average of number of 2650 students
Stage 2 is of duration 9 months with average of number of 3852 students
Stage 3 is of duration 18 months with average of number of 7383 students
Stage 4 is of duration 15 months with average of number of 6115 students
Total duration of four stages is 48 months. The total sum of above averages (all stages) is 20,000. Therefore average number of new entrants every year is equal to number of passouts plus number of dropouts in the year
Students are supposed to move from stage 1 to stage 2 to stage3 to stage4 for their graduation. At the fourth stage there are 30 students that drop out out of average of 6115, therefore retention rate is 99.50% approx. [(6115-30)/6115] at stage 4.
At stage3 the average is 7383 out of which at stage 4 the average is 6115, therefore retention at stage 3 is caculated as 82.83% approx. (6115/7383)*100
At stage 2 the average is 3852 but duration is half the duration of stage3, therefore the retention is calculated as 95.83% approx. (7383/(2*3852))*100
At stage 1 the average is 2650 but duration is 2/3 of the duration of stage 2, therefore the retention rate is calculated as 96.91% approx. (3852/(1.5*2650))*100
The proportion of newly enrolled students that would graduate = .9691*.9583*.8283*.9951=.7654 or 76.54%
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