problem Save it for later In Example 2.5, let the service-time distribution be c
ID: 3334139 • Letter: P
Question
problem Save it for later In Example 2.5, let the service-time distribution be changed to the following: 2 34 5 6 0.05 0.10 0.20 0.30 0.25 0.10 Service Time (Minutes Probability Run the experiment for 50 trails. Is there any difference between the average waiting time here and that in the Example 2.5 before the change was made? If there is a difference, to what do you attribute it? Reference Example: 2.5 Example 2.5: The Grocery Checkout, a Single-Server Queue A small grocery store has one checkout counter. Customers arrive at the checkout co times that range from 1 to 8 minutes apart. We assume that interarrival times are inte each of the 8 values having equal probability, this is a discrete uniform distribut Table 2.9·Thc scrvicc timcs vary from 1 to 6 minutes (also integer-valucd), with t shown in Table 2.10. Our objective is to analyze the system by simulating the arriva 100 customers and to compute a variety of typical measures of performance for que Reference Table: 2.9 Table 2.9 Distribution of Time Between Arrivals Interarrival Times minutes Minimum 7 Maximum8 Reference Figure 2.10 Histogram (Din Froquencies) for Avg. Customer Waiting Time 25 15 15 10 0 0.51 15 2 25335 4 45 45 Bin Figure 2.10 Frequency distribution of average waiting times for 50 trials.Explanation / Answer
H0: There is no significance difference between average waiting time and observed frequencies
H1: There is significance difference between average waiting time and observed frequencies
From the given data,
Num Categories: 6
Degrees of freedom: 5
Test Statistic, X^2: 34.0800
Critical X^2: 11.07051
P-Value: 0.0000
Here P-value < alpha 0.05, so we reject H0
Thus we concude that there is significance difference between average waiting time and observed frequencies
Service Expected Observed Time Probability frequency (ei) frequency (Oi) (Oi-ei)^2/ei 1 0.05 2.5 1 0.9 2 0.1 5 10 5 3 0.2 10 22 14.4 4 0.3 15 15 0 5 0.25 12.5 1 10.58 6 0.1 5 1 3.2 Total: 34.08Related Questions
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