1. During the early morning hours, customers arrive at a branch post office at a
ID: 3334588 • Letter: 1
Question
1. During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each.
For 5 clerks, what is the service rate (mu)
2. A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He has the following sample data available and knows his long-term sample mean has been about 500 hours.
Sample
Service Life (Hours)
1
495
500
505
500
2
525
515
505
515
3
490
500
480
490
If the specification is for engine life to be at least 475 hours, what is the Cpk (process capability)? Use one decimal place
Sample
Service Life (Hours)
1
495
500
505
500
2
525
515
505
515
3
490
500
480
490
Explanation / Answer
1 cutomer in 4 min
hence service rate for clerk
=15 / hour
for 5 clerk
service rate = 15 *5 = 75 per hour
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