Quantitative Methods for Business Final Test Solutions
Course Introduction
Quantitative Methods for Business introduces students to the foundational analytical techniques and mathematical tools essential for effective decision-making in the business environment. The course covers topics such as descriptive statistics, probability theory, linear programming, forecasting, decision analysis, and regression analysis. Through practical case studies and real-world business applications, students learn to model complex business problems, interpret quantitative data, and apply solutions to optimize business processes. Emphasis is placed on developing proficiency in the use of statistical software and interpreting quantitative results to support data-driven management decisions.
Recommended Textbook
Modern Business Statistics with Microsoft Excel 5th Edition by David R. Anderson
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2226 Verified Questions
2226 Flashcards
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Chapter 1: Data and Statistics
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85 Verified Questions
85 Flashcards
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Sample Questions
Q1) Which of the following is an example of quantitative data?
A)the player's number on a baseball uniform
B)the serial number on a one-dollar bill
C)the part number of an inventory item
D)the number of people in a waiting line
Answer: D
Q2) The entities on which data are collected are
A)elements
B)populations
C)sets
D)samples
Answer: A
Q3) __________ is a spreadsheet package.
A)Statistical inference
B)The bar chart
C)The New York Stock Exchange
D)Microsoft Excel
Answer: D
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Chapter 2: Descriptive Statistics: Tabular and Graphical Displays
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Sample Questions
Q1) A histogram is not appropriate for displaying which of the following types of information?
A)frequency
B)relative frequency
C)cumulative frequency
D)percent frequency
Answer: C
Q2) Data that indicate how much or how many are known as
A)categorical data
B)quantitative data
C)label data
D)category data
Answer: B
Q3) Which of the following is least useful in studying the relationship between two variables?
A)trendline
B)stem-and-leaf display
C)crosstabulation
D)scatter diagram
Answer: B
4
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Chapter 3: Descriptive Statistics: Numerical Measures
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Sample Questions
Q1) Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
A)37.5
B)2
C)-2
D)0.92
Answer: B
Q2) The variance of a sample of 81 observations equals 64. The standard deviation of the sample equals
A)0
B)4096
C)8
D)6,561
Answer: C
Q3) A box plot is a graphical representation of data that is based on A)the empirical rule
B)z-scores
C)a histogram
D)a five-number summary
Answer: D
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Chapter 4: Introduction to Probability
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Sample Questions
Q1) The probability of the intersection of two mutually exclusive events
A)can be any value between 0 to 1
B)must always be equal to 1
C)must always be equal to 0
D)can be any positive value
Q2) The multiplication law is potentially helpful when we are interested in computing the probability of
A)mutually exclusive events
B)the intersection of two events
C)the union of two events
D)None of the other answers is correct.
Q3) Three applications for admission to a local university are checked to determine whether each applicant is male or female. The number of sample points in this experiment is
A)2
B)4
C)6
D)8
Q4) A committee of 4 is to be selected from a group of 12 people. How many possible committees can be selected?
Page 6
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Chapter 5: Discrete Probability Distributions
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Sample Questions
Q1) Consider a Poisson probability distribution in a process with an average of 3 flaws every 100 feet. Find the probability of
a. no flaws in 100 feet
b. 2 flaws in 100 feet
c. 1 flaws in 150 feet
d. 3 or 4 flaws in 150 feet
Q2) When using Excel's HYPGEOM.DIST function, one should choose TRUE for the fourth input if
A)a probability is desired
B)a cumulative probability is desired
C)the expected value is desired
D)None of the alternative answers is correct.
Q3) The expected value for a binomial probability distribution is
A)E(x) = pn(1 - n)
B)E(x) = p(1 - p)
C)E(x) = np
D)E(x) = np(1 - p)
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Chapter 6: Continuous Probability Distributions
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Sample Questions
Q1) Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.1112?
A)0.3888
B)1.22
C)2.22
D)3.22
Q2) The price of a bond is uniformly distributed between $80 and $85.
a.What is the probability that the bond price will be at least $83?
b.What is the probability that the bond price will be between $81 and $90?
c.Determine the expected price of the bond.
d.Compute the standard deviation for the bond price.
Q3) Refer to Exhibit 6-3. What percent of players weigh between 180 and 220 pounds?
A)34.13%
B)68.26%
C)0.3413%
D)None of the alternative answers is correct.
Q4) A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produced weigh between 100 grams up to the mean and 49.18% weigh from the mean up to 190 grams. Determine the mean and the standard deviation.
Page 8
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Chapter 7: Sampling and Sampling Distributions
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Sample Questions
Q1) A sample of 400 observations will be taken from a process (an infinite population). The population proportion equals 0.8. The probability that the sample proportion will be greater than 0.83 is
A)0.4332
B)0.9332
C)0.0668
D)0.5668
Q2) The standard error of the proportion will become larger as A)n increases
B)p approaches 0
C)p approaches .5
D)p approaches 1
Q3) Refer to Exhibit 7-3. The point estimate of the population standard deviation is A)2.000
B)1.291
C)1.414
D)1.667
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9
Chapter 8: Interval Estimation
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Sample Questions
Q1) A simple random sample of 25 items from a normally distributed population resulted in a sample mean of 28 and a standard deviation of 7.5. Construct a 95% confidence interval for the population mean.
Q2) We can use the normal distribution to make confidence interval estimates for the population proportion, p, when
A)np \(\ge\) 5
B)n(1 - p) \(\ge\) 5
C)p has a normal distribution
D)Both np \(\ge\) 5 and n(1 - p) \(\ge\) 5
Q3) A manufacturer wants to estimate the proportion of defective items that are produced by a certain machine. A random sample of 50 items is taken. Which Excel function would not be appropriate to construct a confidence interval estimate?
A)NORM.S.INV
B)COUNTIF
C)STDEV
D)All are appropriate.
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10
Chapter 9: Hypothesis Tests
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Sample Questions
Q1) If a hypothesis is not rejected at a 5% level of significance, it will
A)also not be rejected at the 1% level
B)always be rejected at the 1% level
C)sometimes be rejected at the 1% level
D)Not enough information is given to answer this question.
Q2) For a two-tailed hypothesis test with a test statistic value of z = 2.05, the p-value is
A).0101
B).0202
C).0404
D).4899
Q3) A fast food restaurant is considering a promotion that will offer customers to purchase a toy featuring a cartoon movie character. If more than 20% of the customers purchase the toy, the promotion will be profitable. A sample of 50 restaurants is used to test the promotion.
a.State the hypotheses associated with the restaurant's test.
b.Describe a Type I error for this situation.
c.Describe a Type II error for this situation.
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Chapter 10: Inference About Means and Proportions With
Two Populations
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Sample Questions
Q1) Refer to Exhibit 10-8. The p-value is
A)0.0013
B)0.0026
C)0.0042
D)0.0084
Q2) Refer to Exhibit 10-6. At 95% confidence, the margin of error is
A)1.694
B)3.32
C)1.96
D)15
Q3) Refer to Exhibit 10-10. The point estimate for the difference between the two population proportions in favor of this product is
A)52
B)100
C)0.44
D)0.02
Q4) In a sample of 40 Democrats, 6 opposed the President's foreign policy, while of 50 Republicans, 8 were opposed to his policy. Determine a 90% confidence interval estimate for the difference between the proportions of the opinions of the individuals in the two parties.
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Chapter 11: Inferences About Population Variances
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Sample Questions
Q1) The manager of the service department of a local car dealership has noted that the service times of a sample of 30 new automobiles has a standard deviation of 6 minutes. A 95% confidence interval estimate for the standard deviation of the service times for all their new automobiles is
A)16.05 to 45.72
B)4.78 to 8.07
C)2.93 to 6.31
D)22.83 to 65.06
Q2) An egg packing company has stated that the standard deviation of the weights of their grade A large eggs is 0.07 ounces or less. The sample variance for 51 eggs was 0.0065 ounces. Can this sample result confirm the company's claim? Use \(\alpha\) = 0.1.
Q3) A random sample of 41 scores of students taking the ACT test showed a standard deviation of 8 points. Provide a 98% confidence interval estimate for the standard deviation of all the ACT test scores.
Q4) The average grade of a sample of 25 students on their second statistics examination was 85 with a standard deviation of 9. Is the variance of the population significantly more than 80? Use a 0.05 level of significance.
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Page 13
Chapter 12: Tests of Goodness of Fit, Independence and Multiple Proportions
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Sample Questions
Q1) Refer to Exhibit 12-2. The null hypothesis A)should not be rejected
B)should be rejected
C)was designed wrong
D)None of these alternatives is correct.
Q2) The degrees of freedom for a contingency table with 10 rows and 11 columns is A)100
B)110
C)21
D)90
Q3) The degrees of freedom for a contingency table with 12 rows and 12 columns is A)144
B)121
C)12
D)120
Q4) Excel's CHISQ.DIST function can be used to perform
A)a multinomial goodness of fit test
B)a Poisson distribution goodness of fit test
C)a Normal distribution goodness of fit test
D)All of the other ANSWERs are correct
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Chapter 13: Experimental Design and Analysis of Variance
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Sample Questions
Q1) When an analysis of variance is performed on samples drawn from k populations, the mean square between treatments (MSTR) is
A)SSTR/n<sub>T</sub>
B)SSTR/(n<sub>T</sub> - 1)
C)SSTR/k
D)SSTR/(k - 1)
E)None of these alternatives is correct.
Q2) In an analysis of variance problem involving 3 treatments and 10 observations per treatment, SSE = 399.6. The MSE for this situation is
A)133.2
B)13.32
C)14.8
D)30.0
Q3) Refer to Exhibit 13-5. The mean square between treatments (MSTR) is
A)20
B)60
C)300
D)15
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15
Chapter 14: Simple Linear Regression
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103 Flashcards
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Sample Questions
Q1) Refer to Exhibit 14-2. The sample correlation coefficient equals
A)-86.667
B)-0.99705
C)0.9941
D)0.99705
Q2) An observation that has a strong effect on the regression results is called a (an)
A)residual
B)sum of squares error
C)influential observation
D)None of the other answers is correct.
Q3) In simple linear regression analysis, which of the following is not true?
A)The F test and the t test yield the same results.
B)The F test and the t test may or may not yield the same results.
C)The relationship between x and y is represented by means of a straight line.
D)The value of F = t<sup>2</sup>.
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16
Chapter 15: Multiple Regression
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Sample Questions
Q1) Refer to Exhibit 15-8. The yearly income of a 24-year-old female individual is
A)$19.80
B)$19,800
C)$49.80
D)$49,800
Q2) In order to test for the significance of a regression model involving 8 independent variables and 121 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are
A)8 and 121
B)7 and 120
C)8 and 112
D)7 and 112
Q3) Refer to Exhibit 15-2. If SSR = 600 and SSE = 300, the test statistic F is
A)2.33
B)0.70
C)17.5
D)1.75
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Chapter 16: Regression Analysis: Model Building
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Sample Questions
Q1) The following model y = \(\beta\)<sub>0</sub> + \(\beta\)<sub>1</sub>x<sub>1</sub> + \(\varepsilon\)
Is referred to as a
A)curvilinear model
B)curvilinear model with one predictor variable
C)simple second-order model with one predictor variable
D)simple first-order model with one predictor variable
Q2) When dealing with the problem of non-constant variance, the reciprocal transformation means using
A)1/x as the independent variable instead of x
B)x<sup>2</sup> as the independent variable instead of x
C)y<sup>2</sup> as the dependent variable instead of y
D)1/y as the dependent variable instead of y
Q3) The joint effect of two variables acting together is called
A)autocorrelation
B)interaction
C)serial correlation
D)joint regression
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Chapter 17: Time Series Analysis and Forecasting
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Sample Questions
Q1) All of the following are true about a cyclical pattern except
A)it is often due to multi-year business cycles
B)it is often combined with long-term trend patterns and called trend-cycle patterns
C)it is an alternating sequence of data points above and below the trend line
D)it is usually easier to forecast than a seasonal pattern due to less variability
Q2) The forecasting method that is appropriate when the time series has no significant trend, cyclical, or seasonal effect is
A)moving averages
B)mean squared error
C)mean average deviation
D)qualitative forecasting methods
Q3) In the linear trend equation, T = b<sub>0</sub> + b<sub>1t</sub>, b<sub>0</sub> represents the A)time
B)slope of the trend line
C)trend value in period 1
D)the Y intercept
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Chapter 18: Nonparametric Methods
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Sample Questions
Q1) Refer to Exhibit 18-5. The null hypothesis that is being tested is
A)H<sub>0</sub>: \(\mu\) = 5
B)H<sub>0</sub>: \(\mu\) = 0.5
C)H<sub>0</sub>: p = 5
D)H<sub>0</sub>: p = 0.5
Q2) Excel's ____ function can be used to conduct the Kruskal-Wallis test.
A)POISSON.DIST
B)BINOM.DIST
C)CHISQ.DIST.RT
D)NORM.S.DIST
Q3) Refer to Exhibit 18-6. The p-value for this test is
A)0.4332
B)0.8664
C)0.0668
D)0.1336
Q4) The labeling of parts as "defective" or "non-defective" is an example of A)ordinal data
B)ratio data
C)interval data
D)nominal data
Page 20
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Chapter 19: Statistical Methods for Quality Control
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Sample Questions
Q1) A control chart that is used to monitor the number of defectives in a sample is
A)a p chart
B)an x-bar chart
C)an R chart
D)an np chart
Q2) Six Sigma represents a quality level of at most ____ defects per million opportunities.
A)3.4
B)6.0
C)19.7
D)99.5
Q3) Control charts based on data that can be measured on a continuous scale are called
A)normal control charts
B)variables control charts
C)attributes control charts
D)precision control charts
Q4) The upper and lower control limits of a process are 66 and 54. Samples of size 16 are used for the inspection process. Determine the mean and the standard deviation for this process.
21
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Chapter 20: Decision Analysis
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Sample Questions
Q1) Refer to Exhibit 20-5. The expected value of perfect information is
A)18.2
B)11.7
C)51
D)37
Q2) The difference between the expected value of an optimal strategy based on sample information and the "best" expected value without any sample information is called the A)optimal information
B)expected value of sample information
C)expected value of perfect information
D)efficiency of information
Q3) The expected opportunity loss of the best decision alternative is the A)expected value
B)payoff
C)expected value of perfect information
D)None of the answers are correct.
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22
Chapter 21: Sample Survey
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Sample Questions
Q1) The error that occurs because a sample, and not the entire population, is used to estimate a population parameter is a
A)nonsampling error
B)sampling error
C)judgment error
D)standard error
Q2) Simple random sampling has been used to obtain a sample of size 60 from a population of size 700. The sample mean was 500 with a standard deviation of 60.
a.Estimate the standard error of the mean.
b.Develop an approximate 95% confidence interval for the population mean.
Q3) Refer to Exhibit 21-3. An approximate 95% confidence interval for the population total is
A)350,000 to 450,000
B)234,010 to 245,990
C)350 to 400
D)390 to 409
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