4. Smalltown Taxi operates one vehicle during the 9:00 A.M. to
5:00 P.M. period. Currently, consideration

is being given to the addition of a second vehicle to the fleet.
The demand for taxis follows

the distribution shown:

Time Between Calls (Minutes) 15 20 25 30 35

Probability 0.14 0.22 0.43 0.17 0.04

The distribution of time to complete a service is as follows:

Service Time (Minutes) 5 15 25 35 45

Probability 0.12 0.35 0.43 0.06 0.04

Simulate 5 individual days of operation of the current system and
of the system with an additional

taxicab. Compare the two systems with respect to the waiting

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Group name:Sample average ( bar(X)) :time between callsService timeSample size (n) :25.00000025.000000Sample sigma(S) :55Skewness:15.811388Skewness Shape:Potentially Symmetrical (pval=1)0.00000Normality:0.9999Potentially Symmetrical (pval=1)Outliers:Outliers Count:00 The provided sample means are shown below:{:[ bar(X)_(1)=25.000000],[ bar(X)_(2)=25.000000]:}Also, the provided sample standard deviations are:{:[s_(1)=7.905694],[s_(2)=15.811388]:}and the sample sizes are n_(1)=5 and n_(2)=5.(1) Null and Alternative Hy.pothesesThe following null and alternative hypotheses need to be tested:Ho: mu_(1)=mu_(2)Ha: mu_(1)!=mu_(2)This corresponds to a two-tailed test, for which a t-test for two population means, with two independent samples, with unknown population standard deviations will be used.(2) Rejection RegionBased on the information provided, the significance level is alpha=0.05, and the degrees of freedom are df=8. In fact, the degrees of freedom are computed as follows, assuming that the population variances are equal:Hence, it is found that the cri ... See the full answer