Introduction to Business Analytics Test Questions
Course Introduction
Introduction to Business Analytics explores the fundamental concepts, techniques, and applications of analyzing data to support business decision-making. The course covers key topics such as data collection, data visualization, descriptive and predictive analytics, and the use of software tools like Excel and basic statistical packages. Students will learn how to interpret and communicate data-driven insights, solve real-world business problems, and understand ethical considerations in handling business data. By the end of the course, learners will develop analytical thinking skills and gain an essential foundation in leveraging data for informed business strategies.
Recommended Textbook Business Statistics 9th Edition by
David F. Groebner
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Page 2
Chapter 1: The Where,Why,and How of Data Collection
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Sample Questions
Q1) The summaries of data,which may be in forms of tabular,graphical,or numerical,are referred to as:
A)inferential statistics.
B)descriptive statistics.
C)statistical inference.
D)report generation.
Answer: B
Q2) The human resources department at a major high tech company recently conducted an employee satisfaction survey of 100 of its 3,000 employees.Data were collected on such variables as age,gender,marital status,current salary,level of overall satisfaction on a scale from 1 to 5,number of years with the company,and job title.Which of the following best describes the overall data set that was generated from the study?
A)Cross-sectional data
B)Time-series data
C)Nominal data
D)Quantitative data
Answer: A
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3
Chapter 2: Graphs,Charts and Tablesdescribing Your Data
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Sample Questions
Q1) When using the Histogram tool in Excel to construct a frequency distribution and histogram,the bins represent the upper class limits.
A)True
B)False
Answer: True
Q2) In a study involving car owners,one question asked the owner for the number of miles driven last year.A second question asked the owner for the age of the vehicle.A histogram would be useful for analyzing the relationship between miles driven and the age of the vehicle.
A)True
B)False
Answer: False
Q3) In a report describing the number of people in the family of each of the 400 employees at a manufacturing company,the frequency count at the value 3 was 220.This means that the relative frequency at the 3 level is .44.
A)True
B)False
Answer: False
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4
Chapter 3: Describing Data Using Numerical Measures
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Sample Questions
Q1) If a distribution for a quantitative variable is thought to be nearly symmetric with very little variation,and a box and whisker plot is created for this distribution,which of the following is true?
A)The box will be quite wide but the whisker will be very short.
B)The left and right-hand edges of the box will be approximately equal distance from the median.
C)The whiskers should be about half as long as the box is wide.
D)The upper whisker will be much longer than the lower whisker.
Answer: B
Q2) Recently an article in a newspaper stated that 75 percent of the households in the state had incomes of $20,200 or below.Given this input,it is certain that mean household income is less than $20,200.
A)True
B)False
Answer: False
Q3) The interquartile range is the difference between the mean and the median. A)True
B)False
Answer: False
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Page 5
Chapter 4: Introduction to Probability
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Sample Questions
Q1) Suppose a single die (a 6-sided cube with sides numbered 1 through 6)is rolled once.The event of interest is defined as rolling an even number.This can be said to be an elementary event.
A)True
B)False
Q2) The Jack In The Box franchise in Bangor,Maine,has determined that the chance a customer will order a soft drink is 0.90.The probability that a customer will order a hamburger is 0.60.The probability that a customer will order french fries is 0.50. If a customer places an order,what is the probability that the order will include a soft drink and no fries if these two events are independent?
A)0.45
B)0.50
C)0.65
D)0.70
Q3) A car salesman has noted that the probability that the dealership sells a car on a Saturday morning is .30.Then the probability of the dealership not selling a car on Saturday morning is .70.
A)True
B)False
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Page 6
Chapter 5: Discrete Probability Distributions
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Sample Questions
Q1) A direct marketing company believes that the probability of making a sale when a call is made to an individual's home is .02.The probability of making 2 or 3 sales in a sample of 20 calls is .0593.
A)True
B)False
Q2) John Thurgood founded a company that translates Chinese books into English.His company is currently testing a computer-based translation service.Since Chinese symbols are difficult to translate,John assumes the computer program will make some errors,but then so do human translators.The computer error rate is supposed to be an average of 3 per 400 words of translation.Suppose John randomly selects a 1,200-word passage.Assuming that the Poisson distribution applies,if the computer error rate is actually 3 errors per 400 words,determine the probability that no errors will be found.
A)0.0001
B)0.0141
C)0.0415
D)0.4557
Q3) Explain what the expected value of a discrete random variable measures.
Q4) Under what conditions is the binomial distribution symmetric?
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Page 7
Chapter 6: Introduction to Continuous Probability
Distributions
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Sample Questions
Q1) The amount of drying time for the paint applied to a plastic component part is thought to be uniformly distributed between 30 and 60 minutes.Currently,the automated process selects the part from the drying bin after the part has been there for 50 minutes.The probability that none of three parts picked are still wet when they are selected is approximately 0.04.
A)True
B)False
Q2) A continuous random variable approaches normality as the level of skewness increases.
A)True
B)False
Q3) The fares received by taxi drivers working for the City Taxi line are normally distributed with a mean of $12.50 and a standard deviation of $3.25.Based on this information,what is the probability that a specific fare will exceed $15.00?
Q4) The standard normal distribution table provides probabilities for the area between the z-value and the population mean.
A)True
B)False
Page 8
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Chapter 7: Introduction to Sampling Distributions
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Sample Questions
Q1) If a population is not normally distributed,then the sampling distribution for the mean also cannot be normally distributed.
A)True
B)False
Q2) According to the most recent Labor Department data,10.5% of engineers (electrical,mechanical,civil,and industrial)were women.Suppose a random sample of 50 engineers is selected.How likely is it that the random sample of 50 engineers will contain 8 or more women in these positions?
A)0.1612
B)0.0821
C)0.1020
D)0.0314
Q3) Given a population in which the probability of success is p =0.20,if a sample of 500 items is taken,then calculate the probability the proportion of successes in the sample will be between 0.18 and 0.23.
A)0.7812
B)0.8221
C)0.9212
D)0.6812
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Page 9
Chapter 8: Estimating Single Population Parameters
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Sample Questions
Q1) A study was recently conducted to estimate the mean cholesterol for adult males over the age of 55 years.From a random sample of n = 10 men,the sample mean was found to be 242.6 and the sample standard deviation was 73.33.To find the 95 percent confidence interval estimate for the mean,the correct critical value to use is:
A)1.96
B)2.2281
C)2.33
D)2.2622
Q2) Which of the following will result in a larger margin of error in an application involving the estimation of a population mean?
A)Increasing the sample size
B)Decreasing the confidence level
C)Increasing the sample standard deviation
D)All of the above
Q3) When is unknown,the margin of error is computed by using:
A)normal distribution.
B)t-distribution.
C)the mean of the sample.
D)The margin of error is also unknown.
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Page 10
Chapter 9: Introduction to Hypothesis Testing
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Sample Questions
Q1) A sample is used to obtain a 95 percent confidence interval for the mean of a population.The confidence interval goes from 15 to 19.If the same sample had been used to test the null hypothesis that the mean of the population is equal to 20 versus the alternative hypothesis that the mean of the population differs from 20,the null hypothesis could be rejected at a level of significance of 0.05.
A)True
B)False
Q2) A major issue facing many states is whether to legalize casino gambling.Suppose the governor of one state believes that more than 55% of the state's registered voters would favor some form of legal casino gambling.However,before backing a proposal to allow such gambling,the governor has instructed his aides to conduct a statistical test on the issue.To do this,the aides have hired a consulting firm to survey a simple random sample of 300 voters in the state.Of these 300 voters,175 actually favored legalized gambling. State the appropriate null and alternative hypotheses.
A)H<sub>0 </sub>: p = 0.58 H<sub>a</sub><sub> </sub>: p 0.58
B)H<sub>0 </sub>: p 0.55 H<sub>a</sub><sub> </sub>: p > 0.55
C)H<sub>0 </sub>: p = 0.55 H<sub>a</sub><sub> </sub>: p 0.55
D)H<sub>0 </sub>: p 0.58 H<sub>a </sub>: p > 0.58
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Chapter 10: Estimation and Hypothesis Testing for Two
Population Parameters
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Sample Questions
Q1) There have been complaints recently from homeowners in the north end claiming that their homes have been assessed at values that are too high compared with other parts of town.They say that the mean increase from last year to this year has been higher in their part of town than elsewhere.To test this,the assessor's office staff plans to select a random sample of north end properties (group 1)and a random sample of properties from other areas within the city (group 2)and perform a hypothesis test.Based on the information provided,the research (or alternate)hypothesis is:
A) <sub>1</sub> = <sub>2</sub>
B) <sub>1 </sub> <sub>2</sub>
C) <sub>1</sub> > <sub>2</sub>
D) <sub>1</sub> < <sub>2</sub>
Q2) When performing a hypothesis test for the difference between the means of two independent populations,where the standard deviations are known,the variances must be assumed equal.
A)True
B)False
Q3) When estimating the difference between two population means,when should the normal distribution be used and when should the t-distribution be used?
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Chapter 11: Hypothesis Tests and Estimation for Population
Variances
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Sample Questions
Q1) In a two-tailed hypothesis test involving two population variances,if the null hypothesis is true then the F-test statistic should be approximately equal to 1.0.
A)True
B)False
Q2) In a two-tailed test for the equality of two variances,the critical value is determined by going to the F-distribution table with an upper-tail area equal to alpha divided by two.
A)True
B)False
Q3) A fast food restaurant that sells burritos is concerned about the variability in the amount of filling that different employees place in the burritos.To achieve product consistency it needs this variability to be no more than 1.7 ounces.A sample of n = 18 burritos showed a sample variance of 2.89 ounces.Using a 0.10 level of significance,what can you conclude?
A)The standards are being met since (test statistic)< (critical value).
B)The standards are not being met since (test statistic)> (critical value).
C)The standards are being met since (test statistiC)> (critical value).
D)The standards are not being met since (test statistic)< (critical value).
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Chapter 12: Analysis of Variance
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Sample Questions
Q1) Applebee's International,Inc. ,is a U.S.company that develops,franchises,and operates the Applebee's Neighborhood Grill and Bar restaurant chain.It is the largest chain of casual dining restaurants in the country,with over 1,500 restaurants across the United States.The headquarters is located in Overland Park,Kansas.The company is interested in determining if mean weekly revenue differs among three restaurants in a particular city.The file entitled Applebees contains revenue data for a sample of weeks for each of the three locations. Test to determine if blocking the week on which the testing was done was necessary.Use a significance level of 0.05.
A)The p-value = 0.078 > = 0.05.This indicates that inserting the week on which the testing was done was necessary.
B)The p-value = 0.078 > = 0.05.This indicates that inserting the week on which the testing was done was not necessary.
C)The p-value = 0.000 < = 0.05.This indicates that inserting the week on which the testing was done was necessary.
D)The p-value = 0.000 < = 0.05.This indicates that inserting the week on which the testing was done was not necessary.
Q2) What are the assumptions for a one-way analysis of variance design?
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Page 14
Chapter 13: Goodness-Of-Fit Tests and Contingency Analysis
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Sample Questions
Q1) The degrees of freedom for a contingency table with 11 rows and 10 columns is:
A)11
B)10
C)110
D)90
Q2) By combining cells we guard against having an inflated test statistic that could have led us to incorrectly reject the H<sub>0</sub>.
A)True
B)False
Q3) In performing chi-square contingency analysis,to overcome a small expected cell frequency problem,we:
A)combine the categories of the row and/or column variables.
B)increase the sample size.
C)Both A and B
D)None of the above
Q4) The logic behind the chi-square goodness-of-fit test is based on determining how far the actual observed frequencies are from the expected frequencies.
A)True
B)False
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Chapter 14: Introduction to Linear Regression and Correlation Analysis
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Sample Questions
Q1) If the sample value of the intercept turns out to be an illogical value,this is acceptable as long as x = 0 is not within the range of the data.
A)True
B)False
Q2) When regression analysis is used for descriptive purposes,two of the main items of interest are whether the sign on the regression slope coefficient is positive or negative and whether the regression slope coefficient is significantly different from zero.
A)True
B)False
Q3) A cellular phone service provider believes that there is negative correlation between the minutes used by its customers and the age of the customer.To test this,the following would be the appropriate null and alternative hypotheses:
H<sub>0</sub> : = 0.0
H<sub>a</sub> : 0.0
A)True
B)False
Q4) Explain what is meant by the term least squares regression model.
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Chapter 15: Multiple Regression Analysis and Model Building
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Sample Questions
Q1) One reason for examining the adjusted R-square value in a multiple regression analysis is that the R-square value will increase just by adding additional independent variables to the model,whereas the adjusted R-square accounts for the relationship between the number of independent variables and the sample size and may actually decline if inappropriate independent variables are included in the model.
A)True
B)False
Q2) To check out whether the regression assumption involving normality of the error terms is valid,it is appropriate to construct a normal probability plot.If this plot forms a straight line from the lower left-hand corner diagonally up to the upper right-hand corner,the error terms may be assumed to be normally distributed.
A)True
B)False
Q3) In a second-order polynomial regression model,the regression coefficient,B<sub>2</sub>,will be positive if the parabola opens downward and negative when the parabola opens upward.
A)True
B)False
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Chapter 16: Analyzing and Forecasting Time-Series Data
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Q1) It is possible to use linear regression analysis to develop a forecasting model for nonlinear data if we can effectively transform the data.
A)True
B)False
Q2) Forecast bias measures the average amount of error per forecast,so a positive value means that forecasts tended to be too low.
A)True B)False
Q3) You are given the following linear trend model: F<sub>t</sub> = 345.60 - 200.5(t).The forecast for period 15 is approximately -2,662.
A)True
B)False
Q4) In analyzing a forecast model,what is the main advantage of using the MAD instead of the MSE?
Q5) In a double smoothing model,the second smoothing constant is introduced to account for the trend in the data if one exists.
A)True B)False
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Chapter 17: Introduction to Nonparametric Statistics
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Sample Questions
Q1) Assume that you are conducting a small sample Mann-Whitney U test where n<sub>1</sub> = 14 and n<sub>2</sub> = 16 and that U<sub>1</sub> = 98.Assuming that U<sub>1</sub> has been found correctly,what is the value of U<sub>2</sub>?
A)112
B)126
C)224
D)Insufficient information to determine U<sub>2</sub>.
Q2) If we are interested in testing to determine whether the center of three or more populations is equal when the data in the samples are ordinal,what is the appropriate test to conduct?
A)A t-test
B)An ANOVA
C)A Kruskal-Wallis
D)A Wilcoxon Matched-Pairs Sign Rank test
Q3) The Mann-Whitney U test is always a one-tailed test.
A)True
B)False
Q4) Under what conditions should a decision maker use a nonparametric statistical procedure?
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Chapter 18: Introduction to Quality and Statistical Process
Control
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Sample Questions
Q1) Which of the following in not an out of control signal for an x-bar chart?
A)One or more points outside the control limits
B)Seven or more consecutive points that all fall on the same side of the center line
C)Six or more consecutive points moving in the same direction (an upward or downward trend)
D)Fourteen points in a row,alternating up and down
Q2) The statistical process control (SPC)chart is one of the most important tools for identifying important issues to improve quality.
A)True
B)False
Q3) Special cause variation is variation in the output of a process that is naturally occurring and expected and that may be the result of random causes.
A)True
B)False
Q4) Explain the relationship between control limits and specification limits.
Q5) Statistical Process Control charts are used to detect whether a process remains in control or whether it has gone out of control.Explain how the SPC signals work.
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