Q1: Geometric mean is a measure of
Answer
Answer: Location
Q2: The decision with the smallest expected opportunity loss (EOL) will also have the
Answer
Answer: Largest EMV
Q3: The additivity property of linear programming implies that the contribution of any decision variable to the objective function is on the levels of the other decision variables
Answer
Answer: Independent
Q4: The minimum EOL in a decision problem will always
Answer
Answer: Equal to EVPI
Q5: In constructing the confidence interval estimate for the difference between two independently normally distributed populations, we:
Answer
Answer: Pool the sample variances when the population means are equal
Q6: Which of the following provides the central location for the data
Answer
Answer: Mean
Q7: If several frequency distributions are constructed from the same data set, the distribution with the widest class width will have
Answer
Answer: Fewest classes
Q8: The expected value for a binomial probability distribution is:
Answer
Answer: E(x) = nP
Q9: When dealing with the number of occurrences of an event over a specified interval of time or space, the appropriate probability distribution is:
Answer
Answer: Poission distribution
Q10: The process of capturing, storing and maintaining the data is known as
Answer
Answer: Data warehousing
Q11: A cumulative relative frequency distribution shows
Answer
Answer: The proportion of items with values less than or equal to(≤) upper limit of the class
Q12: A researcher is gathering data for geographical area designated North=1, South=2, East=3 and West=4. Data in this format would be
Answer
Answer: Categorical data
Q13: Definition of frequency distribution would be
Answer
Answer: A tabular summary of set of data showing the frequency of items in each of several non-overlapping classes
Q14: The Coefficient of correlation is used to determine
Answer
Answer: The strength and direction of linear relationship in x and y
Q15: A professor asked students age in his class. On the basis of information, professor states that the average age of students is 21 years. This is an example of
Answer
Answer: Statistical inference
Q16: The total no of data items with a value ? the upper limit for the class is given by the
Answer
Answer: Cumulative frequency distribution
Q17: If a transportation problem has 4 origins and 5 destinations, the LP formulation of the problem will have
Answer
Answer: 9 constraints
Q18: The collection of all possible outcomes of an experiment is called
Answer
Answer: A sample space
Q19: If the two events are mutually exclusive, what is the probability that one or the other occurs?
Answer
Answer: Cannot be determined from the information given
Q20: The difference between the transportation and assignment problem is that
Answer
Answer: Each supply and demand value is 1 in the assignment problem
Q21: If events A and B are mutually exclusive and collectively exhaustive, then what is the probability that event A occurs?
Answer
Answer: 0.5
Q22: If all the points in a scattered diagram lie on the least square regression line then the coefficient of correlation must be
Answer
Answer: Either 1.0 or -1.0
Q23: The probability of intersection of two events A and B is denoted by P(A and B) is called the
Answer
Answer: Joint probability
Q24: If the Coefficient of correlation is *0.80 then the percent ge of the variation in y that is explained by the variation in x is
Answer
Answer: 1%
Q25: In testing the difference between the means of two normally distributed populations, the number of degrees of freedom associated with unequal-variances, t-test statistic usually results in a non-integer number. It is recommended that we:
Answer
Answer: Round this to nearest integer
Q26: The length of box in a box plot represents the
Answer
Answer: Median
Q27: The number of units shipped from origin i to destination j is represented by
Answer
Answer: Xij
Q28: The Poission probability distribution is used with
Answer
Answer: A discrete random variable
Q29: The sum of frequencies of all classes will always be equal to
Answer
Answer: No elements in a data set
Q30: Constraints in a transhipment problem
Answer
Answer: Include a variable for every arc
Q31: The problem which deals with the distribution of goods from several sources to several destinations is the
Answer
Answer: Transportation problem
Q32: In one-way ANOVA, the amount of total variation that is unexplained in measured by the:
Answer
Answer: Sum of squares for errors
Q33: The collection of all elements of interest in a particular study is
Answer
Answer: The Population
Q34: A frequency distribution is a tabular summary of data showing the
Answer
Answer: Number of items in several classes
Q35: If the Coefficient of correlation between x and y is close to 1.0, this indicates that
Answer
Answer: There may or may not be a causal relationship between x and y
Q36: The objective of the transportation problem is to
Answer
Answer: Minimize the cost of shipping products from several origins to several destinations
Q37: In one-way ANOVA, where there are k treatments and n observations in all samples, the degree of freedom for all treatment is given by’
Answer
Answer: k-1
Q38: The standard deviation of a binomial distribution is
Answer
Answer: (x) =n P(1-P)
(x) = P(1-P)
(x) = nP
None of these-is correct answer
Q39: The Minimax problem deals with
Answer
Answer: minimizing the possible loss for a worst case
Q40: If we roll a balanced die 50 times, we should expect an even number to appear:
Answer
Answer: Exactly 50 times out of 100 rolls.
25 times on average, over the longer run.
On every other roll.
All of these – correct option
Q41: In one-way ANOVA, error variability is computed as sum of the squared errors SSE for all values of the response variable. These variability is the:
Answer
Answer: Within treatment variation
Q42: Expected regret is also called
Answer
Answer: EOL
Q43: Sum of all %frequencies for all classes will equal
Answer
Answer: 100
Q44: The growth factors for population of Atlanta have been in recent 5 years are 1,2,3,4 and 5. The geometric mean is
Answer
Answer: 5th root of 120
Q45: The regression line y = 3 + 2x has been fitted to the data points (4,8), (2,5) and (1,2). The sum of squared residuals will be:
Answer
Answer: 22
Q46: The intersection of events A and B occurs when
Answer
Answer: Either A or B or both occur
Neither A nor B occur
Q47: Collection of all possible events is called
Answer
Answer: Sample space
Q48: Which of the following types of data has no measures of variability
Answer
Answer: Bimodal data
Q49: The solution of a linear programming problem using MS Excel typically involves three stages
Answer
Answer: Formulating the problem, graphing the problem and sensitivity analysis
Q50: In one-way ANOVA, the term x(double bar) the first to the
Answer
Answer: Weighted average of the sample means
Q51: A course of action intended to solve a problem is called a
Answer
Answer: Alternative
Q52: The smaller the spread of scores around the mean
Answer
Answer: The smaller the standard deviation of the data set
The smaller the coefficient of variation of the data set
The smaller the variance of the data set
All of these -correct answer
Q53: Suppose a liquor store sells beer for a net profit of $1 per unit and wine for a net profit $2 per unit. Let x equal the amount of beer and y equals the amount of wine sold. An algebraic formulation of the profit function is:
Answer
Answer: Min(2x+y)
Q54: The two data sets have the same range if
Answer
Answer: The distances from the smallest to the largest observation in both the sets will be same.
Q55: Two independent samples of sizes 20 and 30 are randomly selected from two normally distributed populations. Assume that population variances are unknown but equal. In order to test difference between the population means 1 – 2, the sampling distribution of the sample mean difference( x1 ? x2) bar
Answer
Answer: Normal
Q56: In an optimization model, there can only be one
Answer
Answer: Objective function
Q57: The median is a measure of
Answer
Answer: Central location
Q58: The subject of data mining deals with
Answer
Answer: Development of useful information from large data base
Q59: Which of the following summarize the final outcome for each decision alternative
Answer
Answer: Payoff matrix
Q60: If A and B are mutually exclusive events with P(A) = 0.75 then P(B):
Answer
Answer: Cannot be larger than 0.25.
Q61: Growth factors for population of Chatanoonga have been 8 and 12 in recent 2 years. The geometric mean will have a value of
Answer
Answer: 96
Q62: Which decision rule pessimistically assumes that nature will always be ?against us? regardless of what decision we make?
Answer
Answer: Maximax Decision Rule
Q63: The assignment problem is a special case of the
Answer
Answer: Transportation problem
Q64: The t-test statistic of the single factor ANOVA equals:
Answer
Answer: Mean squares for treatment upon mean squares of error
Q65: The variance for probability distribution is:
Answer
Answer: Var(x) = nP(1-P)
Q66: The parts of a network that represent the origins are
Answer
Answer: the nodes
Q67: Which of the following is not true regarding the linear programming formulation of a transportation problem
Answer
Answer: The number of constraints is (number of origins) x (number of destinations).
Q68: The difference between the transportation and assignment problems is that
Answer
Answer: each supply and demand value is 1 in the assignment problem
Q69: In the general linear programming model of the assignment problem
Answer
Answer: one agent is assigned to one and only one task.
Q70: Which of the following is not true regarding an LP model of the assignment problem
Answer
Answer: All constraints are of the ≥ form.
Q71: The assignment problem constraint x31 + x32 + x33 + x34 ≤ 2 means
Answer
Answer: agent 3 can be assigned to 2 tasks.
Q72: Arcs in a transshipment problem
Answer
Answer: indicate the direction of the flow.
Q73: Constraints in a transshipment problem
Answer
Answer: include a variable for every arc.
Q74: In a transshipment problem, shipments
Answer
Answer: can occur between any two nodes.
Q75: Consider a shortest route problem in which a bank courier must travel between branches and the main operations center. When represented with a network
Answer
Answer: the branches and the operations center are all nodes and the streets are the arcs.
Q76: The shortest-route problem finds the shortest-route
Answer
Answer: from the source to any other node.
Q77: Consider a maximal flow problem in which vehicle traffic entering a city is routed among several routes before eventually leaving the city. When represented with a network
Answer
Answer: the arcs represent one way streets.
Q78: We assume in the maximal flow problem that
Answer
Answer: the flow out of a node is equal to the flow into the node.
Q79: Whenever total supply is less than total demand in a transportation problem, the LP model does not determine how the unsatisfied demand is handled
Answer
Answer: True – ans
Q80: Converting a transportation problem LP from cost minimization to profit maximization requires only changing the objective function; the conversion does not affect the constraints
Answer
Answer: True – ans
Q81: A transportation problem with 3 sources and 4 destinations will have 7 decision variables
Answer
Answer: Fa lse – Ans
Q82: If a transportation problem has four origins and five destinations, the LP formulation of the problem will have nine constraints
Answer
Answer: True – ans
Q83: The capacitated transportation problem includes constraints which reflect limited capacity on a route
Answer
Answer: True – ans
Q84: When the number of agents exceeds the number of tasks in an assignment problem, one or more dummy tasks must be introduced in the LP formulation or else the LP will not have a feasible solution
Answer
Answer: False – Ans
Q85: A transshipment constraint must contain a variable for every arc entering or leaving the node
Answer
Answer: True – ans
Q86: The shortest-route problem is a special case of the transshipment problem
Answer
Answer: True – ans
Q87: Transshipment problem allows shipments both in and out of some nodes while transportation problems do not
Answer
Answer: True – ans
Q88: A dummy origin in a transportation problem is used when supply exceeds demand
Answer
Answer: False – Ans
Q89: When a route in a transportation problem is unacceptable, the corresponding variable can be removed from the LP formulation
Answer
Answer: True – ans
Q90: In the LP formulation of a maximal flow problem, a conservation-of-flow constraint ensures that an arc’s flow capacity is not exceeded
Answer
Answer: False – Ans
Q91: The maximal flow problem can be formulated as a capacitated transshipment problem
Answer
Answer: True – ans
Q92: The direction of flow in the shortest-route problem is always out of the origin node and into the destination node
Answer
Answer: True – ans
Q93: For a given decision, a decision tree and EMV payoff table can produce different results
Answer
Answer: False, produce the same results
Q94: The EMV and the EOL rules often result in the selection of different decision alternatives
Answer
Answer: Wrong – False
Q95: The maximax and maximin decision rules both utilize regret matrices
Answer
Answer: Wrong – False
Q96: The EMV decision rule is a probabilistic method for decision making
Answer
Answer: Correct – True
Q97: An event node within a decision tree is represented by a square
Answer
Answer: False (circle = event node)
Q98: Probabilities tell a decision-maker exactly how often a given state of nature will occur
Answer
Answer: Wrong – False
Q99: Branches coming out of a decision node represent alternatives under consideration
Answer
Answer: Correct – True
Q100: Probabilities are assigned to the branches of event nodes
Answer
Answer: Correct – True
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Data Analysis Objective Set 2
Data Analysis Objective Set 3
