Quantitative Methods for Business Practice Exam - 1767 Verified Questions

Quantitative Methods for Business Practice Exam

Course Introduction

Quantitative Methods for Business introduces students to the essential analytical tools and quantitative techniques used in modern business decision-making. This course covers topics such as data collection and presentation, probability concepts, statistical inference, regression analysis, forecasting, linear programming, and decision analysis. Students will learn how to apply these quantitative methods to solve real-world business problems, interpret statistical results, and make informed management decisions. Emphasis is placed on practical applications, problem-solving, and the effective use of software tools to analyze business data.

Recommended Textbook

Business Statistics For Contemporary Decision Making 9th Edition by Ken Black

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19 Chapters

1767 Verified Questions

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Chapter 1: Introduction to Statistics

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Sample Questions

Q1) The lowest level of data measurement is _______.

A) interval level

B) ordinal level

C) nominal level

D) ratio level

E) minimal level

Answer: C

Q2) During the Valentine's season,different offices in a company are encouraged to decorate their doors. A committee then goes around and ranks the doors according to how well the doors are decorated.The best door gets a ranking of "1"; the second best gets a ranking of "2",etc. The numbers of these rankings represent which level of data?

A) Interval level

B) Ordinal level

C) Nominal level

D) Ratio level

E) Relative level

Answer: B

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Chapter 2: Charts and Graphs

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Sample Questions

Q1) Your company is doing market research to assess the feasibility of a new product.The market research team gathers pricing information of all the existing products that would compete with your company's product.The most expensive brand is priced at $22.95,and the least expensive one at $20.59.If a class width of 0.25 is used,then the class mark of the first class interval will be

A) 20.50

B) 20.59

C) 20.63

D) 21.75

E) 23.09

Answer: C

Q2) One rule that must always be followed in constructing frequency distributions is that the adjacent classes must overlap.

A)True

B)False

Answer: False

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Chapter 3: Descriptive Statistics

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Sample Questions

Q1) It is inappropriate to use the mean to analyze data that are not at least interval level in measurement.

A)True

B)False

Answer: True

Q2) Computations of the variance and standard deviation using grouped data are potentially only approximation of the actual variance and standard deviation.

A)True

B)False

Answer: True

Q3) An appropriate measure of central tendency for ordinal data is the mode.

A)True

B)False Answer: False

Q4) The median for ungrouped raw data is more complicated to compute then the median for grouped data.

A)True

B)False Answer: False

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Chapter 4: Probability

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Sample Questions

Q1) Assigning probabilities by dividing the number of ways that an event can occur by the total number of possible outcomes in an experiment is called the classical method.

A)True

B)False

Q2) Belinda Bose is reviewing a newly proposed advertising campaign. Based on her 15-years' experience,she believes the campaign has a 75% chance of significantly increasing brand name recognition of the product. This is an example of assigning probabilities using the ________________ method.

A) subjective probability

B) relative frequency

C) classical probability

D) a priori probability

E) a posterior probability

Q3) Given two events A and B each with a non-zero probability,if the conditional probability of A given B is zero,it implies that the events A and B are independent.

A)True

B)False

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Chapter 5: Discrete Distributions

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Sample Questions

Q1) Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business,but after scanning the list she doubts the authenticity of the list. She randomly selects five names from the list for validation. If 40% of the names on the list are non-authentic,and x is the number of non-authentic names in her sample,P(x=0)is

A) 0.8154

B) 0.0467

C) 0.0778

D) 0.4000

E) 0.5000

Q2) One hundred policyholders file claims with CareFree Insurance. Ten of these claims are fraudulent. Claims manager Earl Evans randomly selects four of the one hundred claims for thorough investigation. If x represents the number of fraudulent claims in Earl's sample,x has a _______________ distribution.

A) continuous

B) normal

C) binomial

D) hypergeometric

E) exponential

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Chapter 6: Continuous Distributions

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Sample Questions

Q1) Let z be a normal random variable with mean 0 and standard deviation 1.The 75^th percentile of z is ____________.

A) 0.6700

B) -1.254

C) 0.0000

D) 1.2800

E) 0.5000

Q2) Participants in a 2 day biking event,cross the finish line at a rate of 10 bike riders per fifteen minute interval.On average,how much time,in minutes,elapses between bike riders?

A) 1.50

B) .0667

C) .1667

D) 1.00

E) 2.50

Q3) A correction for continuity must be made when approximating the binomial distribution problems using a normal distribution.

A)True

B)False

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Page 8

Chapter 7: Sampling and Sampling Distributions

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Sample Questions

Q1) Paige DeMarco is the Vice President for University Advancement at State University. She is responsible for the capital campaign to raise money for the new student services building.Paige plans to target alumni and acquires her sampling frame from the State University Office of Alumni Relations.She intends to contact these individuals regarding possible donations. She randomly selects the sixth name as a starting point and then selects every 100th subsequent name (106,206,306,etc.). Her sample is a _________.

A) simple random sample

B) stratified sample

C) systematic sample

D) convenience sample

E) cluster sample

Q2) A sampling distribution is the distribution of a sample statistic such as the sample mean or sample proportion.

A)True

B)False

Q3) In some situations,sampling may be the only option because the population is inaccessible.

A)True

B)False

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Page 9

Chapter 8: Statistical Inference: Estimation for Single Populations

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Sample Questions

Q1) The z value associated with a two?sided 95% confidence interval is _______.

A) 1.28

B) 1.645

C) 1.96

D) 2.575

E) 2.33

Q2) A researcher wants to determine the sample size necessary to adequately conduct a study to estimate the population mean to within 5 points.The range of population values is 80 and the researcher plans to use a 90% level of confidence.The sample size should be at least _______.

A) 44

B) 62

C) 216

D) 692

E) 700

Q3) An assumption underlying the use of t-statistic in sample-based estimation is that the population is normally distributed.

A)True

B)False

Page 10

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Chapter 9: Statistical Inference: Hypothesis Testing for

Single Populations

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Sample Questions

Q1) Elwin Osbourne,CIO at GFS,Inc.,suspects that at least 25% of e-mail messages sent by GFS employees are not business related. A random sample of 300 e-mail messages was selected to test this hypothesis at the 0.01 level of significance. Fifty-four of the messages were not business related. The appropriate decision is _______.

A) increase the sample size

B) gather more data

C) reject the null hypothesis

D) fail to reject the null hypothesis

E) maintain status quo

Q2) Suppose a researcher is testing a null hypothesis that \(\mu\) = 61.A random sample of n = 36 is taken resulting in a sample mean of 63 and s = 9.The observed t value is _______.

A) -0.22

B) 0.22

C) 1.33

D) 8.08

E) 7.58

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Chapter 10: Statistical Inferences About Two Populations

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Sample Questions

Q1) Collinsville Construction Company purchases steel rods for its projects. Based on previous tests,Claude Carter,Quality Assurance Manager,has recommended purchasing rods from Redding Rods,Inc.(population 1),rather than Stockton Steel (population 2),since Redding's rods had less variability in length. Recently,Stockton revised it rod shearing operation,and Claude has sampled the outputs from Redding's and Stockton's rod manufacturing processes. The results for Redding were s₁² = 0.10 with n₁ = 8,and,for Stockton,the results were s₂² = 0.05 with n₂ = 10. Assume that rod lengths are normally distributed in the population.Claude's alternative hypothesis is

A) \(\sigma\)₁² = \(\sigma\)₂²

B) \(\sigma\)₁² \(\neq\) \(\sigma\)₂²

C) \(\sigma\)₁² > \(\sigma\)₂²

D) \(\sigma\)₁² < \(\sigma\)₂²

E) s₁² < s₂²

Q2) Sets of matched samples are also referred to as dependent samples.

A)True

B)False

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Chapter 11: A Nalysis of Variance and Design of Experiments

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Sample Questions

Q1) In an experimental design,treatment variables are response variables.

A)True

B)False

Q2) Suppose the owners of a new bed and breakfast establishment are interested in conducting an experiment to determine effective advertisement strategies for increasing the number of reservations.The bed and breakfast owners intend to rotate advertisements for 12 weeks between a travel website,a travel magazine and a local billboard.Customers making reservations will be asked if they saw the advertisement.In this experiment,the dependent variable is ________________.

A)advertisement venue

B)bed and breakfast establishment

C)travel website

D)number of reservations

E)number of customer calls

Q3) The statistical methods of analysis of variance assume that the populations are normally distributed.

A)True

B)False

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Chapter 12: Simple Regression Analysis and Correlation

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Sample Questions

Q1) The equation of the trend line for the data based on sales (in $1000)of a local restaurant over the years 2005-2010 is Sales= -265575+132.571 year.The equation of the trend line when using 1 to 6 for 2005-2010 is ________

A) -265575+132.571x

B) 132,571x

C) 97.284+132.571x

D) -263571+98x

E) 2004+37.2x

Q2) A researcher has developed a regression model from fifteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two?tailed test and \(\alpha\) = 0.10.The critical table t value is _______.

A) 1.771

B) 1.350

C) 1.761

D) 2.145

E) 2.068

Q3) Regression output from Minitab software includes an ANOVA table.

A)True

B)False

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Page 14

Chapter 13: Multiple Regression Analysis

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Sample Questions

Q1) A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch),production plant (Kingsland,and Yorktown),and production shift (day,and evening). In this model,"batch size" is ______.

A) a response variable

B) an indicator variable

C) a dependent variable

D) a qualitative variable

E) an independent variable

Q2) The model y = \(\beta\)₀ + \(\beta\)₁x₁ + \(\beta\)₂x₂ + \(\beta\)₃x₃ + \(\varepsilon\) is a first-order regression model.

A)True

B)False

Q3) In a multiple regression analysis with N observations and k independent variables,the degrees of freedom for the residual error is given by (N - k).

A)True

B)False

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Chapter 14: Building Multiple Regression Models

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Sample Questions

Q1) If a coefficient of determination for a given model is 0.85,then its variance inflation factor is ______.

A) 8.5

B) 7.7

C) 6.2

D) 4.9

E) 3.6

Q2) If a qualitative variable has c categories,then only (c - 1)dummy variables must be included in the regression model.

A)True

B)False

Q3) Which of the following iterative search procedures for model-building in a multiple regression analysis adds variables to model as it proceeds,but does not reevaluate the contribution of previously entered variables?

A) Backward elimination

B) Stepwise regression

C) Forward selection

D) All possible regressions

E) Forward elimination

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Chapter 15: Time-Series Forecasting and Index Numbers

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Sample Questions

Q1) The motivation for using an index number is to ________________.

A) transform the data to a standard normal distribution

B) transform the data for a linear model

C) eliminate bias from the sample

D) reduce data to an easier-to-use, more convenient form

E) reduce the variance in the data

Q2) A weighted aggregate price index where the weight for each item is computed by using the quantities of the year of interest is known as the

A)Paasche Index

B)Simple Index

C)Laspeyres Index

D)Consumer Price index

E)Producer Price index

Q3) Which of the following is not a component of time series data?

A) Trend

B) Seasonal fluctuations

C) Cyclical fluctuations

D) Normal fluctuations

E) Irregular fluctuations

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Chapter 16: Analysis of Categorical Data

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Sample Questions

Q1) A test of independence is to be performed.The contingency table has 4 rows and 5 columns.What would the degrees of freedom be?

A) 20

B) 9

C) 7

D) 12

E) 19

Q2) A chi-square goodness-of-fit test to determine if the observed frequencies in seven categories are uniformly distributed has six degrees of freedom.

A)True

B)False

Q3) A researcher is interested in using a chi-square test of independence to determine if age is independent of minutes spent reading.Age is divided into four categories while minutes spent reading is classified as high,medium,low.The number of degrees of freedom for this test is 12.

A)True

B)False

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Chapter 17: Nonparametric Statistics

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Sample Questions

Q1) Charles Clayton monitors the daily performance of his investment portfolio by recording a "+" or a "-" sign to indicate whether the portfolio's value increased or decreased from the previous day. His record for the last eighteen business days is "- + +

+ + + -". The number of runs in this sample is _________.

A) uncertain

B) four

C) five

D) nine

E) one

Q2) The nonparametric alternative to analysis of variance for a randomized block design is the Friedman test.

A)True

B)False

Q3) Nonparametric statistical techniques are based on fewer assumptions about the population and the parameters compared to parametric statistical techniques.

A)True

B)False

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Chapter 18: Statistical Quality Control

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Sample Questions

Q1) According to Garvin,product quality is ____________________.

A) value perceived by the customer

B) an innate excellence of the product

C) not measurable in the product

D) fitness for the consumer's intended use

E) measurable in the product

Q2) Which of the following quality control chart conditions is an indicator that the process is potentially out-of-control?

A) several consecutive data points between the UCL and the LCL

B) a data point above the LCL

C) a data point above the UCL

D) a data point in the outer 1/3 region

E) a data point on the center line

Q3) Reengineering is ___________________________.

A) a fine-tuning of the present process

B) downsizing of a company

C) another name for Deming's 14 points

D) the complete redesign of core business processes

E) incremental improvement of a core process

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Page 20

Chapter 19: Decision Analysis

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Sample Questions

Q1) A random person is selected from a large population in which 5% are users of a dangerous illegal drug.A drug test that correctly identifies users 99% of the times and nonusers 95% of the time (this percentage is called "specificity" of the test)is administered to this individual and gives a positive result.What specificity would actually be required to conclude that the probability that this individual is actually a user of this drug is 0.75?

A) 0.965

B) 0.973

C) 0.978

D) 0.983

E) 0.985

Q2) In a decision-making under uncertainty scenario,the best decision alternative based on the strategy of minmax regret will always have zero regret.

A)True

B)False

Q3) The expected monetary payoff of perfect information is the value of perfect information.

A)True

B)False

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