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mathematics
basic business statistics
Basic Business Statistics Concepts And Applications 14th Edition Mark L. Berenson, David M. Levine, Kathryn A. Szabat, David F. Stephan - Solutions
Is there a difference in the variance of the satisfaction rating of traditional cellphone providers who bill for service at the end of a month (often under a contract) and prepaid cellphone service providers who bill in advance without a contract? The file CellphoneProviders contains the
In Problem 10.39, what is your statistical decision? Population A: n = 25 s = 161.9 Population B: n2 = 25 S = 133.7
In Problems 10.38 and 10.39, what is the upper-tail critical value for F if the level of significance, a, is 0.05 and the alternative hypothesis is H1: v21 ≠ α22 Population A: n = 25 s = 161.9 = 25 S = 133.7 Population B: n2 %D
In Problem 10.39, how many degrees of freedom are there in the numerator and denominator of the F test? Population A: n = 25 s = 161.9 = 25 S = 133.7 Population B: n2 %D
One of the most innovative advances in online fundraising during the past decade has been the rise of crowd-funding websites. While features differ from site to site, crowd-funding websites give people an opportunity to set up an online fundraising web page and to accept money directly from that
What social media tools do marketers commonly use? A survey by Social Media Examiner of B2B marketers (marketers that focus primarily on attracting businesses) and B2C marketers (marketers that primarily target consumers) reported that 267 (81%) of B2B marketers and 295 (44%) of B2C marketers
The Society for Human Resource Management (SHRM) collaborated with Globoforce on a series of organizational surveys with the goal of identifying challenges that HR leaders face and what strategies help them conquer those challenges. A 2016 survey indicates that employee retention/turnover (46%) and
Are you an impulse shopper? A survey of 500 grocery shoppers indicated that 29% of males and 40% of females make an impulse purchase every time they shop. Assume that the survey consisted of 250 males and 250 females.Soruce: Data extracted from Women shoppers are impulsive while men snap up
How do the fares for airlines that directly compete compare? The file Airlines contains roundtrip fares for nonstop travel from Philadelphia to 10 different U.S. destinations on Southwest Airlines and American Airlines that a frequent flyer collected.Source: Data extracted from www.southwest.com/
Does LTE network performance vary between providers? The file LTE contains the download speed (in Mbps) on LTE connections of AT&T and Verizon providers in 31 U.S. large metro markets.Source: Data extracted from State of Mobile Networks: USA, August 2016, available at bit.ly/2aYXxox.a. At the
An experimental design for a paired t test has 20 pairs of identical twins. How many degrees of freedom are there in this t test?
Brand valuations are critical to CEOs, financial and marketing executives, security analysts, institutional investors, and others who depend on well-researched, reliable information needed for assessments, and comparisons in decision making. Millward Brown Optimor has developed the BrandZ Top 100
We Are Social and Hootsuite reported that the typical American spends 2.02 hours (121 minutes) per day accessing the Internet through a mobile device.Source: Digital in 2017 Global Overview, available at bit.ly/2jXeS3F.You wonder if males and females spend differing amounts of time per day
The annual NFL Super Bowl is the most widely watched sporting event in the United States each year. In recent years, there has been a great deal of interest in the ads that appear during the game. These ads vary in length with most lasting 30 seconds or 60 seconds. The file SuperBowlAdScore
Accounting Today identified the top accounting firms in 10 geographic regions across the United States. All 10 regions reported growth in 2016. The Southeast and Gulf Coast regions reported growth of 12.03% and 9.47%, respectively. A characteristic description of the accounting firms in the
Is there a difference in the satisfaction rating of traditional cellphone providers who bill for service at the end of a month often under a contract and prepaid cellphone service providers who bill in advance without a contract? The file CellphoneProviders contains the satisfaction rating for 10
What assumptions about the two populations are necessary in Problem 10.2?
The manufacturer of Boston and Vermont asphalt shingles provides its customers with a 20-year warranty on most of its products. To determine whether a shingle will last through the warranty period, accelerated-life testing is conducted at the manufacturing plant. Accelerated-life testing exposes
Call centers today play an important role in managing dayto-day business communications with customers. It’s important, therefore, to monitor a comprehensive set of metrics, which can help businesses understand the overall performance of a call center. One key metric for measuring overall call
IAB conducted a study of 821 U.S. adults to understand the behavioral shift of consumers’ TV viewing experience. The study found that 460 of U.S. adults own streaming enabled TVs, including smart TVs and video streaming devices.Source: The Changing TV Experience: 2017, available at
How can a confidence interval estimate for the population mean provide conclusions for the corresponding two-tail hypothesis test for the population mean?
What is meant by a p-value?
What is meant by the power of a test?
Actuation Consulting conducted a global survey of product teams with the goal of better understanding the dynamics of product team performance and uncovering the practices that make these teams successful. Having a clear definition of “done” is a basic element of successful product management
What are companies’ biggest obstacles to attracting the best talent? Of 703 surveyed U.S. and Canadian talent acquisition professionals, 464 reported that competition for talent is the biggest obstacle at their company.Source: U.S. and Canadian Recruiting Trends 2017, LinkedIn Talent Solutions,
The worldwide market share for the Chrome web browser was 56.43% in a recent month.Source: Data extracted from netmarketshare.com.Suppose that you decide to select a sample of 100 students at your university and you find that 60 use the Chrome web browser.a. Use the five-step p-value approach to
According to a recent National Association of Colleges and Employers (NACE) report, 44% of college students who had unpaid internships received full-time job offers post-graduation compared to 72% of college students who had paid internships.Source: Data extracted from “Here’s Why You May Want
The population mean waiting time to check out of a supermarket has been 4 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a system in which infrared cameras use body heat and in-store software to determine how many lanes should be opened. A sample
A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 133 nonprofits, the mean one-time gift donation resulting from email outreach in the past year was $87. Assume that the sample standard deviation is $9.a. If you test the
Patient waiting is a common phenomenon in the doctor’s waiting room. One acceptable standard of practice states that waiting time for patients to be seen by the first provider in hospital outpatient and public health clinics should be less than 30 minutes. A study was conducted to assess patient
CarMD reports that after two years of flat U.S. car repair costs, 2016 saw an increase. One of the most common problems that trigger the “check engine” light is the catalytic converter. Repairing the catalytic converter had a mean repair cost of $1,190 in 2016. Source: Digital in 2017
The Washington Metropolitan Area Transit Authority has set a bus fleet reliability goal of 8,000 bus miles. Bus reliability is measured specifically as the number of bus miles traveled before a mechanical breakdown that requires the bus to be removed from service or deviate from the schedule.
In Problem 9.44, what is your statistical decision if tSTAT = -1.15?In Problem 9.44In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the critical value of the tSTAT test statistic with 20 degrees of freedom at the 0.01 level of significance?
In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the critical value of the tSTAT test statistic with 20 degrees of freedom at the 0.01 level of significance?
In Problem 9.42, what is your statistical decision if tSTAT = +2.39?In Problem 9.42In a one-tail hypothesis test where you reject H0 only in the upper tail, what is the critical value of the t-test statistic with 10 degrees of freedom at the 0.01 level of significance?
In a one-tail hypothesis test where you reject H0 only in the upper tail, what is the critical value of the t-test statistic with 10 degrees of freedom at the 0.01 level of significance?
In Problem 9.40, what is the statistical decision if you test the null hypothesis at the 0.01 level of significance?In Problem 9.40In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if ZSTAT = +1.38?
In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if ZSTAT = +1.38?
In Problem 9.38, what is your statistical decision if you test the null hypothesis at the 0.01 level of significance?In Problem 9.38In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if ZSTAT = -1.38?
In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if ZSTAT = -1.38?
In Problem 9.36, what is your statistical decision if you test the null hypothesis at the 0.05 level of significance?In Problem 9.36In a one-tail hypothesis test where you reject H0 only in the upper tail, what is the p-value if ZSTAT = +2.00?
In a one-tail hypothesis test where you reject H0 only in the upper tail, what is the p-value if ZSTAT = +2.00?
We Are Social and Hootsuite reported that the typical American spends 2.02 hours (121 minutes) per day accessing the Internet via mobile devices.In order to test the validity of this statement, you select a sample of 30 friends and family. The results for the time spent per day accessing the
One of the major measures of the quality of service provided by any organization is the speed with which it responds to customer complaints. A large family-held department store selling furniture and flooring, including carpet, had undergone a Major expansion in the past several years. In
The following data (in Drink) represent the amount of soft drink filled in a sample of 50 consecutive 2-liter bottles. The results, listed horizontally in the order of being filled, were:a. At the 0.05 level of significance, is there evidence that the mean amount of soft drink filled is different
A marketing researcher wants to estimate the mean amount spent per year ($) on Amazon.com by Amazon Prime member shoppers. Suppose a random sample of 100 Amazon Prime member shoppers who recently made a purchase on Amazon.com yielded a mean amount spent of $1,500 and a standard deviation of $200.a.
In Problems 9.18, 9.19, and 9.20, what is your statistical decision if the alternative hypothesis, H1, is μ ≠ 50?In Problems 9.19In Problem 9.18, how many degrees of freedom does the t test have?In Problem 9.18If, in a sample of n = 16 selected from a normal population, X̅ = 56 and S = 12, what
Suppose that in Problem 9.14, the standard deviation is 500 hours.a. Repeat (a) through (d) of Problem 9.14, assuming a standard deviation of 500 hours.b. Compare the results of (a) to those of Problem 9.14.In ProblemThe quality-control manager at a light emitting diode (LED) factory needs to
The quality-control manager at a light emitting diode (LED) factory needs to determine whether the mean life of a large shipment of LEDs is equal to 50,000 hours. The population standard deviation is 1,500 hours. A random sample of 64 LEDs indicates a sample mean life of 49,875 hours.a. At the 0.05
Do business seniors at your school prepare for class more than, less than, or about the same as business seniors at other schools? The National Survey of Student Engagement (NSSE) annual results, available at bit.ly/1j3Ob7N, found that business seniors spent a mean of 13 hours per week preparing
What is the p-value if, in a two-tail hypothesis test, ZSTAT = -1.38?
In Problem 9.6, what is your statistical decision if you test the null hypothesis at the 0.10 level of significance?In Problem 9.6What is the p-value if, in a two-tail hypothesis test, ZSTAT = +2.00?
What is the p-value if, in a two-tail hypothesis test, ZSTAT = +2.00?
What is your decision in Problem 9.4 if ZSTAT = -2.61?In Problem 9.4If you use a 0.01 level of significance in a two-tail hypothesis test, what is your decision rule for rejecting H0: μ = 12.5 if you use the Z test?
If you use a 0.01 level of significance in a two-tail hypothesis test, what is your decision rule for rejecting H0: μ = 12.5 if you use the Z test?
Referring to the results in Problem 8.66 concerning the answer time of calls, write a report that summarizes your conclusions. 16 14 16 19 6 14 15 5 16 18 17 22 6 18 10 15 12 6 19 16 16 15 13 25 9 17 12 10 5 15 23 11 12 14 24 9 10 13 14 26 19 20 13 24 28 15 21 8 16 12
Call centers today play an important role in managing day-today business communications with customers. It’s important, therefore, to monitor a comprehensive set of metrics, which can help businesses understand the overall performance of a call center. One key metric for measuring overall call
An information technology (IT) provider of cloud backup and restore solutions for small to midsize businesses wants to study the consequences of ransomware attacks. A random sample of 50 small to midsized companies in the United States that have experienced a ransomware attack reveals the
How do smartphone owners use their smartphones when shopping in a grocery store? A sample of 731 smartphone owners in the United States revealed that 358 use their smartphone to access digital coupons, 355 look up recipes, 234 read reviews of products and brands, and 154 locate in-store
A GlobalWebIndex study noted the percentage of Internet users that owned various devices. Suppose that a survey of 1,000 Internet users found that 840 own a PC/laptop, 910 own a smartphone, 500 own a tablet, and 100 own a smart watch.Source: Data extracted from “GWI Device,” GlobalWebIndex
When should you use the t distribution to develop the confidence interval estimate for the mean?
Cybersecurity is a critical business issue that demands the attention of business and IT executives. According to a study released by PwC, 38% of surveyed business and IT executives reported phishing scams at their institutions.Source: Data extracted from “Toward new possibilities in threat
In a study of 443 nonprofits nationwide, 130 indicated that the greatest diversity staffing challenge they face is retaining younger staff (those under 30).Source: Data extracted from “2016 Nonprofit Employment Practices Survey,” Nonprofit HR, 2016, bit.ly/23ZHwhb.a. Construct a 95% confidence
A Federal Reserve Bank of Atlanta report looks at what strategies and measures financial institutions are pursuing to provide mobile financial services to their customers. In response to a survey question about barriers hindering greater consumer adoption of mobile banking, in a survey of 115
If a light bulb manufacturing company wants to estimate, with 95% confidence, the mean life of light emitting diode (LED) light bulbs to within ±400 hours and also assumes that the population standard deviation is 1,500 hours, how many LED light bulbs need to be selected?
What business, economic, policy, and environmental threats to organization growth are CEOs extremely concerned about? In a survey by PricewaterhouseCoopers (PwC), 57 of 114 U.S. CEOs are extremely concerned about cyber threats, and 22 are extremely concerned about lack of trust in business.Source:
A Pew Research Center survey of 4,787 adults found that 4,178 had bought something online. Of these online shoppers, 789 are weekly online shoppers.a. Construct a 95% confidence interval estimate of the population proportion of adults who had bought something online.b. Construct a 95% confidence
In a survey of 823 human resource professionals concerning challenges they faced in the workplace, 329 said that employee retention/turnover was an important challenge and 181 said that employee satisfaction was an important challenge.Source: Data extracted from R. King, “Companies Want to Know
What do you value most when shopping in a retail store? According to a TimeTrade survey, 26% of consumers value personalized experience most.Source: Data extracted from “The State of Retail, 2017,” TimeTrade, bit.ly/2rFGf7o.a. Suppose that the survey had a sample size of n = 1,000. Construct a
In a survey of 1,003 adults concerning complaints about restaurants, 732 complained about dirty or ill-equipped bathrooms and 381 complained about loud or distracting diners at other tables.Source: Data extracted from “The Gripe-O-Meter Restaurants,” Consumer Reports, August 2014, p. 11.a.
One of the major measures of the quality of service provided by any organization is the speed with which the organization responds to customer complaints. A large family-held department store selling furniture and flooring, including carpet, had undergone a major expansion in the past several
Is there a difference in the yields of different types of investments? The file CDRate contains the yields for a one-year certificate of deposit (CD) and a five-year CD for 39 banks listed for West Palm Beach, Florida on January 9, 2017.Source: Data extracted from www.Bankrate.com, January 9,
The annual NFL Super Bowl is the most widely watched sporting event in the United States each year. In recent years, there has been a great deal of interest in the ads that appear during the game. These ads vary in length with most lasting 30 seconds or 60 seconds. The file SuperBowlAdScore
The file AirportRating contains the rating of large and medium size airports in the United States and Canada.Source: Data extracted from N. Trejos, “Portland, Indianapolis Top Airport Rankings, USA Today, December 16, 2016, p. 4B.For large and medium airports separately:a. Construct a 95%
The file FastFood contains the amount that a sample of 15 customers spent for lunch ($) at a fast-food restaurant:a. Construct a 95% confidence interval estimate for the population mean amount spent for lunch ($) at a fast-food restaurant.b. Interpret the interval constructed in (a).c. What
A marketing researcher wants to estimate the mean amount spent ($) on Amazon.com by Amazon Prime member shoppers. Suppose a random sample of 100 Amazon Prime member shoppers who recently made a purchase on Amazon.com yielded a mean of $1,500 and a standard deviation of $200.a. Construct a 95%
The operations manager at a light emitting diode (LED) light bulb factory needs to estimate the mean life of a large shipment of LEDs. The manufacturer’s specifications are that the standard deviation is 1,500 hours. A random sample of 64 LEDs indicated a sample mean life of 49,875 hours.a.
Is it true in Example 8.1 on page 280 that you do not know for sure whether the population mean is between 366.33 and 372.21 grams? Explain.
The number of cars waiting in line at a car wash is distributed as follows:Number of Cars
The table of random numbers is an example of a uniform distribution because each digit is equally likely to occur. Starting in the row corresponding to the day of the month in which you were born, use a table of random numbers (Table E.1) to take one digit at a time.Select five different samples
The article mentioned in Problem 7.30 reported that the stock market in Germany had a mean return of 6.9% in 2016. Assume that the returns for stocks on the German stock market were distributed normally, with a mean of 6.9 and a standard deviation of 10. If you select an individual stock from this
The stock market in Canada reported strong returns in 2016. The population of stocks earned a mean return of 17.5% in 2016.Source: Data extracted from The Wall Street Journal, December 31, 2016–Janaury 1, 2017, p. B6.Assume that the returns for stocks on the Canadian stock market were distributed
Under what circumstances does the sampling distribution of the proportion approximately follow the normal distribution?
What is the difference between a population distribution and a sampling distribution?
Why is the sample mean an unbiased estimator of the population mean?
An IAB study on the state of original digital video showed that original data video is becoming increasingly popular. Original digital video is defined as professionally produced video only for ad-supported online distribution and viewing (not TV). According to IAB data, 26% of American adults 18+
The topic of global warming increasingly appears in the news. It has the potential to impact companies’ operations through changes in governmental regulations, new reporting requirements, necessary operational changes, and so on. The Institute of Management Accountants (IMA) conducted a survey of
According to the MSCI 2016 Survey of Women on Boards, women hold 20% of director seats on U.S. corporate boards. This study also reports that 34% of U.S. companies have three or more female board directors.Source: Data extracted from “The Tipping Point: Women on Boards and Financial
The goal of corporate sustainability is to manage the environmental, economic, and social effects of a corporation’s operations so it is profitable over the long-term while acting in a responsible manner to society. An international study by Unilever reveals that 33% of consumers are choosing to
What do millennials around the world want in a job? A Deloitte survey of millennials on work-life challenges found that millennials are looking for stability in an uncertain world, with 65% of millennials preferring a permanent, full-time job rather than working freelance or as a consultant on a
According to a report by App Annie, a business intelligence company that produces tools and reports for the apps and digital goods industry, smartphone owners are using an average of 30 apps per month. Source: “Report: Smartphone owners are using 9 apps per day, 30 per month,” 2017,
The U.S. Census Bureau announced that the median sales price of new houses sold in 2016 was $316,500, and the mean sales price was $370,800Source: www.census.gov/newhomesales, April 1, 2017.Assume that the standard deviation of the prices is $90,000. a. If you select samples of n = 4, describe
The weight of an energy bar is approximately normally distributed with a mean of 42.05 grams with a standard deviation of 0.025 gram.a. What is the probability that an individual energy bar contains less than 42.035 grams?b. If a sample of 4 energy bars is selected, what is the probability that the
The amount of water in a two-liter bottle is approximately normally distributed with a mean of 2.05 liters with a standard deviation of 0.025 liter.a. What is the probability that an individual bottle contains less than 2.03 liters?b. If a sample of 4 bottles is selected, what is the probability
According to the same Glassdoor source mentioned in Problem 6.40, the mean monthly pay for interns at Facebook is $6,589. Suppose that the intern monthly pay is normally distributed, with a standard deviation of $500. What is the probability that the monthly pay of an intern at Facebook is a.
Interns report that when deciding on where to work, career growth, salary and compensation, location and commute, and company culture and values are important factors to them. According to reports by interns to Glassdoor, the mean monthly pay of interns at Intel is $5,940. Source: Data
How can you use the normal probability plot to evaluate whether a set of data is normally distributed?
How do you find the area between two values under the normal curve?
How long does it take to download a two-hour HD movie from the iTunes store? According to Apple’s technical support site, support.apple.com/en-us/HT201587, downloading such a movie using a 15 Mbit/s broadband connection should take 29–43 minutes. Assume that the download times are uniformly
The file CD Rate contains the yields for a one-year certificate of deposit (CD) and a five-year CD for 39 banks listed for West Palm Beach, Florida on January 9, 2017.Source: Data extracted from www.Bankrate.com, January 9, 2017.For each type of investment, decide whether the data appear to be
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