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Engineering Statistics
Midterm Exam 1
Midterm Exam
Note: Your submission must contain this cover. Please scan clearly. Unclear presentation may
result in point deduction. Solve the problems using MS Excel, but do not submit your Excel file.
Please, do submit one PDF file into the submission folder. Fill in the blanks with your solutions
manually or electronically.
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1
Engineering Statistics
Midterm Exam 1
1. UPMC Hospital has been under recent pressure from stakeholders to improve cost efficiency
and customer service. In response, the hospital calls in the Health Service Administration (HSA)
Consulting Team of Robert Morris & Company (RMC). After initial analysis, we (HSA@RMC)
decided to target the X-ray service process. We study the X-ray service process to recommend
improvements.
We identified the point of entry into the process as the instant that a patient leaves the
physician’s office to walk to the X-ray lab. The point of exit is defined as the instant that both
the patient and the completed X-ray film are ready to enter the physician’s office for diagnosis.
The unit of flow is a patient. We examined the entire process in detail and broke it down into
the 11 constituent activities identified as in the table of the next page. Note that a, c and b
denote the optimistic time, the most likely time and the pessimistic time. The flow chart is as
follows:
2
Engineering Statistics
Midterm Exam 1
Activity
Description
/Event
Start
Patient leaves the physician’s office.
1
Patient walks to the X-ray lab.
2
The X-ray request travels to the X-ray lab by a messenger.
3
An X-ray technician fills out a standard form based on the information supplied by
the physician.
4
The receptionist receives from the patient information concerning insurance,
prepares and signs a claim form, and sends to the insurer.
5
Patient undressed in preparation for X-ray
6
A lab technician takes X-rays.
7
A darkroom technician develops X-rays.
8
A lab technician prepares X-rays for transfer.
9
Patient puts on clothes and gets ready to leave lab.
10
...