HW 4 - OUTPUT ANALYSIS (a group of maximum 2 students)
Calculate your factor
f
as the very first thing in answering hw questions.
, (The last two digits of your id) (
/100L_( I)f individual _((
)
)
My last two digits of my id 52
You will use f in adjusting question data as directed in the questions BEFORE answering them
Q1. A hair dresser receives about 50 customers per day on the average. We simulate the hair dresser with 15 replications (each replication corresponds to a day). Average waiting times of individual customers in minutes from each replication are given below. Answer the following questions.
a. Estimate the expected waiting time of each customer and compute a 95% confidence interval of the expected waiting time. The target is expected waiting time should be less than 5 min . Based on the confidence interval, (
Can _((
)
)_()
we say that we achieve this target, why?
b. We are interested in the 0.8 quantile of average waiting times for one day operation. Compute a point estimate and a 95% confidence interval for the 0.8 quantile.
c. What would be a conservative estimate for the average waiting time? What would be a risky estimate for the average waiting time?
d. What would be the number of required replication if we want an Error
=75%
of the current half width in item a above (for estimating the expected waiting time with 95% C.I.)?
\table[[Replication,Avr. Waiting time],[1,
5.1+5f
(my last two digits of my id 52)