Question 1 : Normal Distribution is applied for __________

- Continuous Random Distribution
- Discrete Random Variable
- Irregular Random Variable
- 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:

- Simulation as software engineering
- Simulation as a process of organisational change
- Simulation as facilitation
- 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?

- Competitor performance standards
- Historical standards
- Absolute performance standards
- Target performance standards

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

- Recursion
- Regression analysis, t-tests, Analysis of variance
- P-mean
- Q-test

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

- Define and improve
- Design and implement
- Design and improve
- Develop and implement

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

- Competitor performance assessment
- Benchmarking
- PERT analysis
- SWOT analysis

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

- Rethinking business processes cross-functionally to organise work around natural information flows.
- Checking that all internal customers act as their own suppliers to identify problems.
- Scrapping any process line over two years old and starting again from scratch.
- 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?

- One less than the number of populations involved
- One less than the number of blocks
- One less than the combined sample size in the experiment
- 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?

- 8W
- 48W
- 64W
- 256W

Question 10 : Verification is:

- The process of checking the random sampling is correct in the model
- The process of ensuring that the conceptual model has been satisfactorily transformed into a computer model
- The process of ensuring that the model is sufficiently accurate for the purpose at hand
- 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 ____

- e-m
- em
- e
- m-e

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

- inability to analyze large and complex real-world situations
- "time compression" capability
- could be disruptive by interfering with the real-world system
- 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.

- 3 minutes
- 6 minutes
- 9 minutes
- 12 minutes

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

- run the simulation for many days.
- run the simulation for many days many times, i.e., using multiple sets of random numbers.
- run the simulation many times, i.e., using multiple sets of random numbers.
- 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?

- z = 1.96
- z = 2.33
- z = 1.645
- 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 ?

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

- 1.2 ±.118
- 1.2 ±.124
- 1.2 ±.588
- 1.2 ±.609

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

- Always
- Only if it is a very large scale military model
- On some occasions to help determine if a model is suitable for a particular use
- Never

Question 19 : Normal Distribution is also known as ___________

- Cauchy's Distribution
- Laplacian Distribution
- Gaussian Distribution
- Lagrangian Distribution

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

- The area under the curve
- The sample value
- The height of the curve
- The skew of the distribution

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

- 1/e
- e
- e/2
- Indeterminate

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

- √m
- m2
- m
- m⁄2

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

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

Question 24 : The first step in simulation is to

- set up possible courses of action for testing.
- construct a numerical model.
- validate the model.
- 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.

- 0.36
- 0.4
- 0.6
- 0.64

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