# Computer Simulation And Modelling MCQ

Question 1 : Normal Distribution is applied for __________

1. Continuous Random Distribution
2. Discrete Random Variable
3. Irregular Random Variable
4. Uncertain Random Variable

Question 2 : When a model is developed and used in a group, with a view to promoting discussion around a real world problem, this is described as:

1. Simulation as software engineering
2. Simulation as a process of organisational change
3. Simulation as facilitation
4. Simulation as animation

Question 3 : Which kind of standards are those that are set arbitrarily to reflect some level of performance that is regarded as appropriate or reasonable?

1. Competitor performance standards
2. Historical standards
3. Absolute performance standards
4. Target performance standards

Question 4 : Which of the following statistical methods are commonly used to analyze simulation results?

1. Recursion
2. Regression analysis, t-tests, Analysis of variance
3. P-mean
4. Q-test

Question 5 : What do the letter ‘D’ and ‘I’ stand for in Deming’s cycle of improvement?

1. Define and improve
2. Design and implement
3. Design and improve
4. Develop and implement

Question 6 : What approach is used to compare organisation operations with those of other companies?

1. Competitor performance assessment
2. Benchmarking
3. PERT analysis
4. SWOT analysis

Question 7 : The principles of the business process re-engineering (BPR) approach do NOT include:

1. Rethinking business processes cross-functionally to organise work around natural information flows.
2. Checking that all internal customers act as their own suppliers to identify problems.
3. Scrapping any process line over two years old and starting again from scratch.
4. Striving for improvements in performance by radical rethinking and redesigning the process.

Question 8 : In a randomized complete block design analysis of variance, which of the following correctly describes the number of degrees of freedom associated with the between sum of squares?

1. One less than the number of populations involved
2. One less than the number of blocks
3. One less than the combined sample size in the experiment
4. One less than the total number of observations

Question 9 : In a single server tool-crib, mechanics come to take spares at 4/hour on the average. Waiting for them costs Rs. 8/- per hour. Average Waiting time for a mechanic in the system is W. What will be total waiting cost of the mechanics in a day for a 8 hour day?

1. 8W
2. 48W
3. 64W
4. 256W

Question 10 : Verification is:

1. The process of checking the random sampling is correct in the model
2. The process of ensuring that the conceptual model has been satisfactorily transformed into a computer model
3. The process of ensuring that the model is sufficiently accurate for the purpose at hand
4. The process of ensuring the findings are implemented properly

Question 11 : If ‘m’ is the mean of Poisson Distribution, the P(0) is given by ____

1. e-m
2. em
3. e
4. m-e

Question 12 : Which of the following are disadvantages of simulation?

1. inability to analyze large and complex real-world situations
2. "time compression" capability
3. could be disruptive by interfering with the real-world system
4. is not usually easily transferable to other problems

Question 13 : In a restaurant, customer arrival is Poisson at 10 per hour. In this restaurant, the customers do self-service. Exponentially distributed service time 3 minutes per customer. Find the average waiting time of a customer in the restaurant.

1. 3 minutes
2. 6 minutes
3. 9 minutes
4. 12 minutes

Question 14 : If we are going to simulate an inventory problem, we must

1. run the simulation for many days.
2. run the simulation for many days many times, i.e., using multiple sets of random numbers.
3. run the simulation many times, i.e., using multiple sets of random numbers.
4. run the simulation once, for a relative short period of time.

Question 15 : In a situation where the population standard deviation is known and we wish to estimate the population mean with 90 percent confidence, what is the appropriate critical value to use?

1. z = 1.96
2. z = 2.33
3. z = 1.645
4. Can’t be determined without knowing the degrees of freedom

Question 16 : Let X ∼N (3, 22). What does this tell us about the distribution of X ?

1. X is binomial with n = 3 and p = 2.
2. X is normal with mean 3 and variance 4.
3. X is normal with mean 3 and variance 2.
4. X is binomial with mean 2 and variance 9.

Question 17 : A popular restaurant takes a random sample n=25 customers and records how long each occupied a table. The found a sample mean of 1.2 hours and a sample standard deviation of 0.3 hours. Find the 95% confidence interval for the mean.

1. 1.2 ±.118
2. 1.2 ±.124
3. 1.2 ±.588
4. 1.2 ±.609

Question 18 : It is important to have a model independently verified and validated:

1. Always
2. Only if it is a very large scale military model
3. On some occasions to help determine if a model is suitable for a particular use
4. Never

Question 19 : Normal Distribution is also known as ___________

1. Cauchy's Distribution
2. Laplacian Distribution
3. Gaussian Distribution
4. Lagrangian Distribution

Question 20 : When sampling from standard statistical distributions, a random number is used to represent:

1. The area under the curve
2. The sample value
3. The height of the curve
4. The skew of the distribution

Question 21 : For a Poisson Distribution, if mean(m) = 1, then P(1) is?

1. 1/e
2. e
3. e/2
4. Indeterminate

Question 22 : If ‘m’ is the mean of a Poisson Distribution, the standard deviation is given by ___________

1. √m
2. m2
3. m
4. m⁄2

Question 23 : A repeated measures t-test can be used to assess which of the following?

1. It assesses differences between two groups of participants
2. It assesses differences between scores obtained on two separate occasions from the same participants
3. It assesses how many factors there are in questionnaire data
4. It assesses goodness of fit

Question 24 : The first step in simulation is to

1. set up possible courses of action for testing.
2. construct a numerical model.
3. validate the model.
4. define the problem.

Question 25 : In a small barber shop, only one customer can get hair cut while another customer can wait in a chair. Any other arriving customer has to wait outside as there is only one chair available. The customers arrive randomly at 6 per hour. The service is exponential and takes 6 minutes on the average. Find the probability that an arriving customer will have to wait outside.

1. 0.36
2. 0.4
3. 0.6
4. 0.64

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