$(30$P$)$ In the IE $0723$ simulation Modelling course, assume that your team modeled

a restaurant and observed the number of customers being served. The

simulation model was run $10$ times under validated conditions. Then, using the

Same arrival rates another $10$ replications were run by changing the number

of resources. The number of served customers under both scnerio is given in the

table below.

a$)(10$P$)$ Do two different settings have the

same number of served customers $($you have to

answer by conducting proper statistical test,

$=0,05$

b$)(6$p$)$ Both models were run for $200$ minutes; replicated $30$ times. The resulting

output analysis on average total time customers spent in the system is given

below.

Total Fime

Paired $-7$ Means Comparison:

IDENTIFIER

ESTD, MEAN

STANDARD $0,950$ C$.$I.

$\frac{M}{N}\frac{|}{M}UM$

UAYIMUN

NUM$$ER

Difference

DEVIATION HALF$-$WIDTH

VALUE

value

of $085$

Total Time

What does the output tell about the equality of mean times spent in two different

settings? $($state the hypothesis and your conclusion$)?$

C$)(78)$ Considering the output above. What is the number of required runs in order to

estirrate a confidence interval on the true mean difference with a half$-$length

of $1$min $?$