Quantitative Methods for Business Question Bank
Course Introduction
Quantitative Methods for Business introduces students to the fundamental mathematical and statistical techniques used to inform and support business decision-making. The course covers essential topics such as data collection and analysis, probability theory, hypothesis testing, regression analysis, forecasting, and optimization. Emphasis is placed on translating real-world business problems into quantitative models, interpreting the results, and applying these insights to managerial decisions. Students will develop proficiency in utilizing software tools to analyze data and solve problems, preparing them to make evidence-based decisions in various business contexts.
Recommended Textbook
Business Statistics A First Course 6th Edition by
David M. Levine Timothy C. Krehbiel
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14 Chapters
2486 Verified Questions
2486 Flashcards
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Chapter 1: Introduction
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118 Verified Questions
118 Flashcards
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Sample Questions
Q1) A professor computing the sample average exam score of 20 students and using it to estimate the average exam score for the 1,500 students taking the exam is an example of inferential statistics.
A)True
B)False
Answer: True
Q2) The portion of the universe that has been selected for analysis is called
A) a sample.
B) a frame.
C) a parameter.
D) a statistic.
Answer: A
Q3) The possible responses to the question "How long have you been living at your current residence?" are values from a continuous variable.
A)True
B)False
Answer: True
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Chapter 2: Organizing and Visualizing Data
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210 Verified Questions
210 Flashcards
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Sample Questions
Q1) A histogram can have gaps between the bars, whereas bar charts cannot have gaps.
A)True
B)False
Answer: False
Q2) Referring to Table 2-9, the class midpoint of the second class is ________.
Answer: 450
Q3) Referring to Table 2-14, ________ percent of the 600 were males who did not own a portable DVD.
Answer: 37.33
Q4) Referring to Table 2-17, in general, retail sales for the apparel industry have seen a modest growth between April 2008 and April 2009.
A)True
B)False
Answer: True
Q5) Referring to Table 2-9, ________ percent of the apartments rented for $600 or more.
Answer: 8 or 20/250
Q6) Referring to Table 2-12, construct a table of total percentages. Answer: 11ea3200_1d5a_a5ce_bd9a_5d5ceb5d0aa9_TB2694_00
Page 4
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Chapter 3: Numerical Descriptive Measures
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143 Verified Questions
143 Flashcards
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Sample Questions
Q1) Referring to Table 3-4, construct a boxplot of this sample. Answer: 11ea3200_1d5f_fd1a_bd9a_8132b34dad76_TB2694_00
Q2) Referring to Table 3-7, what is the mean and median change in the cost?
Answer: $978, $895.5
Q3) Referring to Table 3-6, compute the arithmetic mean rate of return per year. Answer: 15.30%
Q4) Referring to Table 3-7, what is the interquartile range of the change in the cost? Answer: $832
Q5) The median of a data set with 20 items would be the average of the 10th and the 11th items in the ordered array.
A)True
B)False Answer: True
Q6) The interquartile range is a measure of variation or dispersion in a set of data. A)True
B)False Answer: True
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Page 5
Chapter 4: Basic Probability
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171 Flashcards
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Sample Questions
Q1) The collection of all the possible events is called a sample space.
A)True
B)False
Q2) If either A or B must occur the events are called collectively exhaustive.
A)True
B)False
Q3) Referring to Table 4-3, assume we know that a person prefers hamburger. The probability that this individual is a child is ________.
Q4) Referring to Table 4-5, if a package selected at random came from Machine B, the probability that it is improperly sealed is ________.
Q5) The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, the probability that the cost is kept within budget and the campaign will increase sales is ________.
A) 0.20
B) 0.32
C) 0.40
D) 0.88
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Chapter 5: Discrete Probability Distributions
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137 Flashcards
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Sample Questions
Q1) Referring to Table 5-3, the standard deviation of the number of retransmissions is
Q2) What type of probability distribution will most likely be used to analyze warranty repair needs on new cars in the following problem?
The service manager for a new automobile dealership reviewed dealership records of the past 20 sales of new cars to determine the number of warranty repairs he will be called on to perform in the next 90 days. Corporate reports indicate that the probability any one of their new cars needs a warranty repair in the first 90 days is 0.05. The manager assumes that calls for warranty repair are independent of one another and is interested in predicting the number of warranty repairs he will be called on to perform in the next 90 days for this batch of 20 new cars sold.
A) binomial distribution
B) Poisson distribution
C) all of the above
D) none of the above
Q3) Referring to Table 5-4, the mean or expected value of the number of accidents is
Q4) Referring to Table 5-7, what is your expected profit when Design B is chosen?
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Page 7
Chapter 6: The Normal Distribution
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Sample Questions
Q1) A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with a mean of 10.5 ounces and a standard deviation of 0.3 ounce. Find the proportion of all jars packaged by this process that have weights that fall above 10.95 ounces.
Q2) Referring to Table 6-2, for a given month, what is the probability that John's income as a waiter is less than $1,300?
Q3) You were told that the mean score on a statistics exam is 75 with the scores normally distributed. In addition, you know the probability of a score between 55 and 60 is 4.41% and that the probability of a score greater than 90 is 6.68%. What is the probability of a score between 60 and 75?
Q4) The amount of tea leaves in a can from a particular production line is normally distributed with = 110 grams and = 25 grams. What is the probability that a randomly selected can will contain less than 100 grams or more than 120 grams of tea leaves?
Q5) Referring to Table 6-4, find the probability that the annual return of a random year will be less than 11.5%.
Q6) Referring to Table 6-2, for a given month, what is the probability that John's income as a waiter is more than $900?
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Page 8
Chapter 7: Sampling and Sampling Distributions
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Sample Questions
Q1) Referring to Table 7-7, the population mean of all possible sample proportions is
Q2) Suppose = 50 and = 10 for a population. In a sample where n = 100 is randomly taken, 90% of all possible sample means will fall between 49 and 51.
A)True
B)False
Q3) For sample size 1, the sampling distribution of the mean will be normally distributed
A) regardless of the shape of the population.
B) only if the shape of the population is symmetrical.
C) only if the population values are positive.
D) only if the population is normally distributed.
Q4) Referring to Table 7-6, among all the random samples of size 200, 90% will have less than ________% who have high-speed access to the Internet.
Q5) Referring to Table 7-2, what is the probability that the sample mean exceeds the population mean by more than 2 hours?
Q6) Referring to Table 7-6, the standard error of all the sample proportions is
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Page 9
Chapter 8: Confidence Interval Estimation
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Sample Questions
Q1) Referring to Table 8-11, construct a 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report.
Q2) Referring to Table 8-12, what is the needed sample size to obtain a 95% confidence interval in estimating the percentage of the targeted young adults who will purchase the new game to within ±5%?
Q3) Referring to Table 8-12, the size of the population is 1,500.
A)True
B)False
Q4) Referring to Table 8-3, if we use the same sample information to obtain a 95% confidence interval, the resulting interval would be narrower than the one obtained here with 90% confidence.
A)True
B)False
Q5) Referring to Table 8-5, it is possible that the mean of the population is not between 47.19 and 52.61.
A)True
B)False
Q6) Referring to Table 8-2, the confidence interval goes from ________ to ________.
Page 10
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Chapter 9: Fundamentals of Hypothesis Testing:
One-Sample Tests
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168 Verified Questions
168 Flashcards
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Sample Questions
Q1) Which of the following would be an appropriate alternative hypothesis?
A) The mean of a population is equal to 55.
B) The mean of a sample is equal to 55.
C) The mean of a population is greater than 55.
D) The mean of a sample is greater than 55.
Q2) Referring to Table 9-9, if these data were used to perform a two-tail test, the p-value would be 0.1254.
A)True
B)False
Q3) Referring to Table 9-4, for a test with a level of significance of 0.10, the critical value would be ________.
Q4) A Type I error is committed when
A) you reject a null hypothesis that is true.
B) you don't reject a null hypothesis that is true.
C) you reject a null hypothesis that is false.
D) you don't reject a null hypothesis that is false.
Q5) Referring to Table 9-1, if these data were used to perform a two-tail test, the p-value would be 0.042.
A)True
B)False
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Chapter 10: Two-Sample Tests and One-Way ANOVA
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293 Verified Questions
293 Flashcards
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Sample Questions
Q1) A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. A group of 50 men (group 1)and 40 women (group 2)were asked if they thought sexual discrimination is a problem in the United States. Of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. Find the value of the test statistic.
A) Z = -2.55
B) Z = -0.85
C) Z = -1.05
D) Z = -1.20
Q2) In a one-way ANOVA, the null hypothesis is always:
A) There is no difference in the population means.
B) There is some treatment effect.
C) All the population means are different.
D) Some of the population means are different.
Q3) Referring to Table 10-9, construct a 95% confidence interval estimate of the difference in the population proportion of satisfied guests between the two resorts.
Q4) Referring to Table 10-19, the agronomist decided to perform an ANOVA F test. The amount of total variation or SST is ________.
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Page 12
Chapter 11: Chi-Square Tests
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Sample Questions
Q1) In testing the difference between two proportions using the normal distribution, we may use either a one-tail chi-square test or two-tail Z test.
A)True
B)False
Q2) Referring to Table 11-2, the same decision would be made with this test if the level of significance had been 0.10 rather than 0.05.
A)True B)False
Q3) Referring to Table 11-1, what is the critical value when performing a chi-square test on whether the population proportions are different if = 0.05?
A) ±1.645
B) ±1.96
C) 3.841
D) 2.706
Q4) Referring to Table 11-13, the test is always a one-tail test.
A)True B)False
Q5) Referring to Table 11-7, the value of the test statistic is ________.
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Chapter 12: Simple Linear Regression
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213 Flashcards
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Sample Questions
Q1) If the residuals in a regression analysis of time-ordered data are not correlated, the value of the Durbin-Watson D statistic should be near ________.
Q2) Referring to Table 12-10, what is the value of the F test statistic when testing whether the number of customers who make purchases is a good predictor for weekly sales?
Q3) Referring to Table 12-3, suppose the director of cooperative education wants to construct a 95% prediction interval for the number of job offers received by a student who has had exactly two cooperative education jobs. The prediction interval is from ________ to ________.
Q4) The Durbin-Watson D statistic is used to check the assumption of normality. A)True B)False
Q5) Referring to Table 12-3, the director of cooperative education wanted to test the hypothesis that the population slope was equal to 3.0. The p-value of the test is between ________ and ________.
Q6) Referring to Table 12-3, the least squares estimate of the Y-intercept is ________.
Q7) Referring to Table 12-4, the least squares estimate of the Y-intercept is ________.
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Chapter 13: Introduction to Multiple Regression
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Sample Questions
Q1) Referring to Table 13-9, if variables that measure the number of new business starts in the last year and population density of the city were removed from the multiple regression model, which of the following would be true?
A) The adjusted r² will definitely increase.
B) The adjusted r² cannot increase.
C) The coefficient of multiple determination will not increase.
D) The coefficient of multiple determination will definitely increase.
Q2) Referring to Table 13-5, which of the following values for is the smallest for which the regression model as a whole is significant?
A) 0.00005
B) 0.001
C) 0.01
D) 0.05
Q3) Referring to Table 13-16, which of the following assumptions is most likely violated based on the normal probability plot?
A) linearity
B) normality of errors
C) equal variance
D) none
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Chapter 14: Statistical Applications in Quality Management
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107 Verified Questions
107 Flashcards
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Sample Questions
Q1) Which of the following is NOT one of Deming's 14 points?
A) Create constancy of purpose for improvement of product or service.
B) Award business on the basis of price tag alone.
C) Break down barriers between staff areas.
D) Drive out fear.
Q2) Referring to Table 14-8, an R chart is to be constructed for the time required to register. The upper control limit for this data set is ________.
Q3) The principal focus of the control chart is the attempt to separate special or assignable causes of variation from common causes of variation. Which causes of variation can be reduced only by changing the system?
A) special or assignable causes
B) common causes
C) total causes
D) none of the above
Q4) Referring to Table 14-9, an R chart is to be constructed for the weight. The lower control limit for this data set is ________.
Q5) Referring to Table 14-7, an R chart is to be constructed for the number of blemishes. The center line of this R chart is located at ________.
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