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Quiz
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If A and B are any two events with P(A) = .8 and P(B|A) = .4, then the joint probability of A and B is
Question 1 options:
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.32 |
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.40 |
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1.20
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.80 |
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The standard deviation of a probability distribution must be:
Question 2 options:
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a nonnegative number |
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a negative number |
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a number between 0 and 1 |
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All of the above |
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None of the above |
Which of the following statements are true?
Question 3 options:
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Probabilities must be negative. |
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Probabilities must be nonnegative. |
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Probabilities can either be positive or negative. |
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Probabilities can be any positive value. |
Given that Z is a standard normal random variable, P(-1.0
Z
1.5) is
Question 4 options:
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0.9332 |
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0.8413 |
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0.7745 |
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0.0919 |
The standard deviation of a binomial distribution with parameters n and p is given by:
Question 5 options:
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If Z is a standard normal random variable, then the value z for which P(-z
Z
z) equals 0.8764 is
Question 6 options:
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1.54 |
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1.16 |
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0.3764 |
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3.08 |
The probability of an event and the probability of its complement always sum to:
Question 7 options:
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0 |
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any positive value |
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any value between 0 and 1 |
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1 |
Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85
X
90) is
Question 8 options:
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0.3413 |
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0.1498 |
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0.5328 |
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0.1915 |
When using the graphical solution method to solve linear programming problems, the line that represents the objective function (assuming that the objective is to maximize profit) is referred to as the:
Question 9 options:
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maxiprofit line |
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isoprofit line |
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feasible line |
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optimal line |
Linear programming is a subset of a larger class of models called:
Question 10 options:
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linear regression models |
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mathematical programming models |
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mathematical optimality models |
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linear simplex model |
In most cases in solving linear programming problems, we want the decision variables to be:
Question 11 options:
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equal to zero |
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nonnegative |
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nonpositive |
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All of the above |
Related to sensitivity analysis in linear programming, when the profit increases with a unit increase in a resource, this change in profit is referred to as the:
Question 12 options:
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sensitivity price |
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additional profit |
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shadow price |
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add-in price |
Consider the following linear programming problem: Maximize 2x1 + 2x2 Subject to 4x1 + 3x2 > 12 -2x1 - 3x2 < 6 x2 > 2 x1, x2 > 0 The above linear programming problem:
Question 13 options:
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has only one optimal solution |
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has more than one optimal solution |
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exhibits infeasibility |
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exhibits unboundedness |
When we have a problem with Solver being able to find a solution, many times it is an indication that we have a (n):
Question 14 options:
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older version of Excel |
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problem that cannot be solved using linear programming |
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nonlinear programming problem |
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mistake in the formulation of the problem |
A solution to an LP problem that satisfies all of the constraints, including the nonnegativity constraints, is called the optimal solution.
Question 15 options:
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True |
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False |
When formulating an LP spreadsheet model, there is one target (objective) cell that contains the value of the objective function.
Question 16 options:
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True |
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False |
If an LP problem has been so constrained that there are no solutions that satisfy all the constraints, we say that it is unbounded.
Question 17 options:
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True |
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False |
Infeasibility refers to the situation in which there are no feasible solutions to the LP model
Question 18 options:
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True |
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False |
All linear programming problems should have a unique solution, if they can be solved.
Question 19 options:
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True |
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False |
In a production process, the diameter measures of manufactured o-ring gaskets are known to be normally distributed with a mean diameter of 80 mm and a standard deviation of 3 mm. Any o-ring measuring 75 mm or less in diameter is defective and cannot be used. Using Excel, determine the percent or proportion of defective o-rings that will be produced. (Enter the value in either decimal or percent notation. If using decimal notation, enter the value using 4 places to the right of the decimal. If using percent notation, go two places to the right of the decimal. For example, decimal notation might be 0.0768 and percent notation would be 7.68. Do not enter words or symbols)
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The correlation coefficient is always a value between
Question 21 options:
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- 1 and 0 |
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0 and +1 |
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0.0 and 100 |
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-1 and +1 |
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-1 and 100 |
For a boxplot, the point inside the box indicates the location of the
Question 22 options:
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mean |
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median |
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minimum value |
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maximum value |
The difference between the first and third quartile is called the
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interquartile range |
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interdependent range |
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unimodal range |
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bimodal range |
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mid range |
The length of the box in the boxplot portrays the
Question 24 options:
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mean |
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median |
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range |
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interquartile range |
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third quartile |
For a boxplot, the box itself represents what percent of the observations?
Question 25 options:
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lower 25% |
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middle 50% |
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upper 75% |
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upper 90% |
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100% |
A correlation value of zero indicates.
Question 26 options:
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a strong linear relationship |
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a weak linear relationship |
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no linear relationship |
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a perfect linear relationship |
Regression analysis asks:
Question 27 options:
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if there are differences between distinct populations |
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if the sample is representative of the population |
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how a single variable depends on other relevant variables |
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how several variables depend on each other |
In regression analysis, the variable we are trying to explain or predict is called the
Question 28 options:
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independent variable |
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dependent variable |
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regression variable |
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statistical variable |
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residual variable |
A multiple regression analysis including 50 data points and 5 independent variables results in 40. The multiple standard error of estimate will be:
Question 29 options:
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0.901 |
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0.888 |
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0.800 |
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0.953 |
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0.894 |
A "fan" shape in a scatterplot indicates:
Question 30 options:
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a nonlinear relationship |
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the absence of outliers |
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sampling error |
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unequal variance |
A multiple regression equation includes 6 independent variables, and the coefficient of multiple determination is 0.91. The percentage of the variation in Y that is explained by the regression equation is:
Question 31 options:
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91% |
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95% |
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83% |
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15% |
Data collected from approximately the same period of time from a cross-section of a population are called:
Question 32 options:
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time series data |
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linear data |
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cross-sectional data |
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historical data |
A multiple regression analysis included 4 independent variables results in sum of squares for regression of 1400 and sum of squares for error of 600. The multiple coefficient of determination will be:
Question 33 options:
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.300 |
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.700 |
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.429 |
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.084 |
A single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:
Question 34 options:
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mutually exclusive |
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inversely related |
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directly related |
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highly correlated |
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None of the above |
Which of the following is not one of the summary measures for forecast errors that is commonly used?
Question 35 options:
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MAPE (mean absolute percentage error) |
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MAE (mean absolute error) |
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RMSE (root mean square error) |
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MFE (mean forecast error) |
Holt’s model differs from simple exponential smoothing in that it includes a term for:
Question 36 options:
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trend |
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cyclical fluctations |
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residuals |
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seasonality |
Winters’ model differs from Holt’s model and simple exponential smoothing in that it includes an index for:
Question 37 options:
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residuals |
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cyclical fluctuations |
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trend |
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seasonality |
Suppose that a simple exponential smoothing model is used (with = 0.30) to forecast monthly sandwich sales at a local sandwich shop. After June’s demand is observed at 1520 sandwiches, the forecasted demand for July is 1600 sandwiches. At the beginning of July, what would be the forecasted demand for August?
Question 38 options:
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1520 |
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1544 |
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1550 |
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1600 |
A linear trend means that the time series variable changes by a
Question 39 options:
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positive amount each time period |
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constant percentage each time period |
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negative amount each time period |
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constant amount each time period |
The forecast error is the difference between
Question 40 options:
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the average value and the expected value of the response variable |
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the explanatory variable value and the response variable value |
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the actual value and the forecast |
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this period’s value and the next period’s value |
When using exponential smoothing, a smoothing constant must be used. The smoothing constant is a value that:
Question 41 options:
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ranges between 0 and 1 |
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equals the largest observed value in the series |
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ranges between –1 and +1 |
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represents the strength of the association between the forecasted and observed values |
The moving average method can also be referred to as a(n)______________ method.
Question 42 options:
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exponential |
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econometric |
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smoothing |
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causal |