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mathematics
statistics
Business Statistics 2nd Edition Robert A. Donnelly - Solutions
The following table shows the average number of words understood by later born and first born one year old children from two random samples. Assume the population variances of the number of words understood are equal.a. Construct a 98% confidence interval to estimate the difference between the
The following two samples were collected as matched pairs:a. State the null and alternative hypotheses to test if a difference in means exists between the populations represented by Samples 1 and 2.b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using α
The following two samples were collected as matched pairs:a. State the null and alternative hypotheses to test if the population represented by Sample 1 has a higher mean than the population represented by Sample 2.b. Calculate the appropriate test statistic and interpret the results of the
The following two samples were collected as matched pairs:a. State the null and alternative hypotheses to test if the population represented by Sample 1 has a mean that is 2.0 units higher than the population represented by Sample 2.b. Calculate the appropriate test statistic and interpret the
The following two samples were collected as matched pairs:a. Construct a 95% confidence interval to estimate the difference in means between the populations from which Samples 1 and 2 were drawn.b. What conclusions can be made based on these results?
The following two samples were collected as matched pairs:a. Construct a 90% confidence interval to estimate the difference in means between the populations from which Samples 1 and 2 were drawn. b. What conclusions can be made based on these results?
Swype is an input technique for touch screen devices that allows users to input a word by sliding a finger from letter to letter. The user’s finger is only removed from the keyboard between words. The following table shows the typing speeds of 10 individuals who were measured typing using both
The MCAT is a standardized test used by medical schools in the admissions process. The scale of this exam ranges from 3 to 45. A new type of review course for the MCAT was developed by a training company. The following table shows MCAT scores for nine students before and after taking the review
Consider the following hypothesis statement using α = 0.01 and data from two independent samples:a. Calculate the appropriate test statistic and interpret the result.b. Calculate the p value and interpret the result.c. Verify your results using PHStat.
A new weight loss program claims that participants will lose an average of more than 10 lbs after completing it. The following table shows the weights of eight individuals before and after the program. These data can also be found in the Excel file weight loss. xlsx.a. Perform a hypothesis test
The following table shows the golf scores of nine people before and after a lesson given by the golf professional at Pike Creek Golf Club. These data can also be found in the Excel file lessons. xlsx.a. Using α = 0.05, test the professional’s claim that the average golfer will lower his or her
Consider the following hypothesis statement using α = 0.10 and the following data from two independent samples:a. Calculate the appropriate test statistic and interpret the result.b. Calculate the p value and interpret the result.c. Verify your results using PHStat.
Consider the following hypothesis statement using α = 0.02 and the following data from two independent samples:a. Calculate the appropriate test statistic and interpret the result.b. Calculate the p value and interpret the result.c. Verify your results using PHStat.
Consider the following hypothesis statement using α = 0.05 and the following data from two independent samples:a. Calculate the appropriate test statistic and interpret the result.b. Calculate the p value and interpret the result.c. Verify your results using PHStat.
Consider the following data from two independent samples. Construct a 90% confidence interval to estimate the difference in population proportions.x1 = 46 x2 = 48n1 = 90 n2 = 80
Consider the following data from two independent samples. Construct a 90% confidence interval to estimate the difference in population proportions.x1 = 92x2 = 76n1 = 130n2 = 150
Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession, such as manufacturing and construction. Women, on the other hand, are typically employed in services such as health care and
A major challenge for retailers like Best Buy is “showrooming” which describes customers who browse through their stores and then make their purchase from an online competitor. In an effort to measure the volume of showrooming, Best Buy observes the percentage of customers who leave their
People are considered obese when they are approximately 30 lbs over their healthy weight. Obesity can increase the risk of heart disease and diabetes, which could add to the cost of the health care system. Two random samples of adults were selected. The individuals in one of the samples lacked high
Consider the following data from two independent samples. Construct a 95% confidence interval to estimate the difference in population means.
Office occupancy in a city is an indication of the economic health of the region in which it is located. A random sample of 165 offices in Boston was selected and it was found that 24 were vacant. A random sample of 145 offices in Chicago was selected and it was found that 17 were vacant.a.
Passing the ball between two players during a soccer game is a critical skill for the success of a team. A random sample of passes made by the English and German teams in a recent World Cup was drawn, and the number of successful passes in each sample was counted. The data are as follows:Germany
The federal government has become concerned about the default rates of loans made to students who attend for profit schools. Two random samples of student loans were collected: one from students at for profit schools and another from students at nonprofit schools. The following data show the sample
Baggage fees charged by airlines have received much attention recently as the industry has looked for ways to increase revenue without directly increasing fares. American Airlines would like to investigate if the average number of bags checked per flight fell after the company implemented fees for
A survey asked respondents how many online “ friends” they have on networking sites such as Facebook. The following table presents the average number of friends for men and women along with the sample standard deviations and sample sizes. Assume the population variances for the number of
During the recent decline in the housing market, it appeared that the average size of a newly constructed house fell. To investigate this trend, the square footages of a random sample of houses built in 2010 were compared to houses built in 2014. A random sample of 45 homes built in 2010 had a
The recent financial crisis in Europe has resulted in high unemployment rates in some European Union countries. A recent survey of 120 adults from Greece found that 34 were currently unemployed. A corresponding survey of 135 adults from Spain found that 33 were currently unemployed.a. Perform a
Small business owners play a major role in the welfare of today’s economy. This particular segment has a reputation for working long hours during the week. Suppose the Small Business Administration (SBA), a federal agency charged with supporting small businesses, would like to test the hypothesis
McDonald’s would like to compare the wait times its drive through customers experience vs. the wait times its customers using the restaurants’ inside counters experience. The following data represent the wait times, in minutes, randomly selected customers in the two types of groups experienced.
The on time performances of flights in the airline industry are an important measurement that can help attract customers. The following data show the number of late flights from random samples taken from United Airlines and Southwest Airlines:United
Consider the following data from two independent samples. Construct a 90% confidence interval to estimate the difference in population means.
Pfizer would like to test the effectiveness of a new cholesterol medication it has recently developed. To test the effectiveness, the LDL cholesterol level of 12 randomly selected individuals was measured before and after they took the medication. The data are shown as follows and can be found in
The new health care plan that the federal government recently implemented has caused people to become concerned that a shortage of primary care physicians, particularly in underserved rural areas, will occur. Random samples of patient visits to primary care physicians in both rural and urban areas
The airline industry measures fuel efficiency by calculating how many miles one seat can travel, whether occupied or not, on one gallon of jet fuel. The following data show the fuel economy, in miles per seat, for 15 randomly selected flights on Delta and US Airways. These data can also be found in
Recent attention has been given to the percentage of successful free throws that resulted in points made in men’s college basketball and the number of dribbles the shooter takes prior to the free throw. Samples of players who dribbled twice and players who dribbled four times before making free
Low profile tires are automobile tires that have a short sidewall height, which is the distance between the tire rim and the road. These tires provide better performance at the expense of gas mileage. The Ford Taurus was chosen to measure the effect these tires have on gas mileage. Ten cars of this
In Major League Baseball, the umpire behind the plate uses his best judgment to decide if a pitch is within the strike zone or outside of the strike zone. The age old question is whether the strike zone for the batter in the National League is different from the strike zone in the American League.
Brand loyalty in the automotive industry can be measured by the percentage of brand owners who purchase again. Suppose Cars.com would like to investigate if there is a difference in brand loyalty between Chevrolet and Buick owners. A random sample of 160 Chevrolet owners found that 68 had
According to the Institute for College Access & Success, the average student loan debt for the most recent class of students from Pennsylvania is $ 9,000 more than the average for students in California. To test this claim, the following data were collected from random samples. Assume the
Past research has shown that Millennials, defined as those in the 18– 34 age group, are more willing to provide personal information online to a company in exchange for something in return when compared to older individuals. To verify these reports, a random sample of 200 Millennials was selected
Many homeowners rely on handymen to perform small jobs, such as repairs or maintenance, around their residence. According to HomeAdvisor Inc., the average cost for a handyman project in Atlanta is more than the average cost for a project in Chicago. To test this claim, a random sample of 32
The following data show the average monthly utility bills for a random sample of households in Baltimore and for a random sample of households in Houston. (The bills include phone, television, Internet, electricity, and natural gas.)a. Perform a hypothesis test using α = 0.05 to determine if there
In January 2011, the French government passed legislation requiring that within six years at least 40% of corporate board members of large companies be female. Large companies are defined as those having more than 500 employees or revenues over 50 million euros. Suppose the Corporate Women
Negative equity (also known as being “underwater”) refers to a scenario where the market value of a residence is worth less than the outstanding balance on the mortgage for that home. Suppose the Federal Housing Administration (FHA), which is the government agency charged with supporting the
Retailers pay close attention to holiday sales during the Thanksgiving weekend each year. To monitor these sales, a random sample of shoppers was selected in 2012 and again in 2013. The amount of money each shopper spent in stores and on Web sites was recorded. These data can be found in the Excel
Citibank, which has a major credit card division, has instituted a promotion designed to encourage its customers to increase their current credit card usage. To test the effectiveness of this promotion, Citibank monitored the monthly credit card balances of 25 customers before and after the
Citibank, which has a major credit card division, has designed a promotion that the firm hopes will encourage its customers to increase their current credit card usage. To test the effectiveness of the promotion, Citibank monitored the monthly balances of 25 customers who were informed of the
The Excel file golf scores. xlsx contains a random sample of golf scores from two highly competitive sons of a certain statistics author. Each son claims he is the better golfer. Assume the population variances for each son’s golf score are equal.a. Perform a hypothesis test using α = 0.05 to
Coke would like to perform a blind taste test of its cola vs. the cola from its biggest competitor, Pepsi. To conduct this test, 24 individuals were randomly selected, asked to taste one unmarked cola, and to rate it on a scale of 1– 10. The individuals were then asked to do the same for the
Suppose the Bureau of Labor Statistics would like to investigate if the average retirement age for a worker in Japan is higher than the average retirement age for a worker in the United States. A random sample of 30 retired U. S. workers had an average retirement age of 64.6 years. A random sample
Walmart has an interest in monitoring the average back to school spending for grade school students year to year. The following table shows the average back to school spending of households randomly sampled in 2013 and 2014 along with the population standard deviations and sample sizes for each
Expedia. com would like to estimate the difference between the average rental price of a car with an automatic transmission and the average rental price of a car with a manual transmission at London’s Heathrow airport. A random sample of 50 cars with an automatic transmission had an average
Consider the following partially completed one- way ANOVA summary table:a. Complete the remaining entries in the table.b. How many population means are being tested?c. Using α = 0.05, what conclusions can be made concerning the population means?
Avis Rent A Car maintains a fleet of low mileage cars for its customer base. Suppose that Avis would like to promote the fact that its cars have a lower average mileage than that of its competitors in an advertising campaign. To support this claim, Avis has collected the following mileage data from
A consumer group would like to compare the satisfaction ratings of three fast food restaurants: McDoogles, Burger Queen, and Windys. A random sample of satisfaction scores on a scale of 1– 20 was collected from customers at each restaurant. These data can also be found in the Excel file fast
The following table shows the weight of randomly selected packages shipped by FedEx, UPS, and DHL. These data can also be found in the Excel file package weight.xlsx.a. Perform a one way ANOVA using α = 0.05 to determine if there is a difference in the average package weights shipped by these
Recently, Las Vegas has seen increased competition from Singapore and Macau (China) for customers in the casino resort industry. One measurement of success is the average length of stay by visitors. The following data show the number of days a random sample of visitors stayed at each location.
Suppose a manager at a local Domino’s Pizza would like to determine if the average time it takes to deliver a pizza and return to the store differs for the four employees who make the deliveries. The following data show a random sample of the delivery times for each driver. These data can also be
Consider the following partially completed randomized block ANOVA summary table:a. Complete the remaining entries in the table.b. How many population means are being tested?c. Using α = 0.05, what conclusions can be made about the population means?d. Was blocking effective? Why or why not?
Consider the following data collected for a randomized block ANOVA:a. Calculate the total sum of squares (SST).b. Partition the total sum of squares (SST) into its three components.c. Using α = 0.05, what conclusions can be made about the population means?d. Was blocking effective? Why or why not?
Using the data from Problem 11.16, determine which means are different from one another using α = 0.05.In Problem
Consider the following partially completed randomized block ANOVA summary table:a. Complete the remaining entries in the table.b. How many population means are being tested?c. Using α = 0.05, what conclusions can be made concerning the population means?d. Was blocking effective? Why or why not?
Consider the following data collected for a randomized block ANOVA.a. Calculate the total sum of squares (SST).b. Partition the total sum of squares (SST) into its three components.c. Using α = 0.05, what conclusions can be made about the population means?d. Was blocking effective? Why or why not?
Consider the following data collected from three independent populations:a. Calculate the total sum of squares (SST).b. Partition the total sum of squares (SST) into its two components.c. Using α = 0.05, what conclusions can be made concerning the population means?
Using the data from Problem 11.19, determine which means are different using α = 0.05.In Problem
Suppose Gatorade has developed four new drink flavors and would like to conduct a taste test to collect data on customers€™ preferences. Six people were asked to sample and rate each flavor on a scale of 1€“ 20. The data are as follows and can be found in the file Gatorade.xlsx.a. Using
Suppose the Environmental Protection Agency (EPA) would like to investigate the impact that octane has on gas mileage. The following table shows the gas mileage for six cars that were driven 1,000 miles with three different grades of gasoline: 87, 89, and 93 octane. The gas mileage was recorded for
The superintendent of the Red Clay School District is concerned about the sick time taken by teachers and administrators. More specifically, she would like to know if there is a difference in the number of hours of sick time taken when comparing the days of the week. To investigate this, seven
Suppose Golf Magazine would like to do an article comparing the driving distances of various golf balls. Eight golfers were asked to hit Top Flite, Pinnacle, and Titleist golf balls with their drivers. The distance for each shot was measured in yards and is as follows. The file golf balls. xlsx
Avon Products has a 24 hour distribution facility in Newark, Delaware, that fulfills orders for the cosmetic maker’s sales representatives. Orders are filled in one of three distribution lines. Random business days were selected, and the number of orders processed for each line over 4 hour
Bagel Boys is a chain that sells New York€“ style bagels at three locations. The owner of the chain would like to investigate if there is a difference in the number of bagels sold per day at each location. A random week was selected, and the number of bagels sold each day at each location was
Warehouse clubs such as Costco, BJ’s, and Sam’s Club compete with traditional supermarkets by advertising lower prices to customers who are willing to pay a membership fee and purchase in bulk quantities. Suppose a consumer group would like to investigate if warehouse clubs have different
Consider the following partially completed two way ANOVA summary table:a. Complete the remaining entries in the table.b. How many replications are present for each cell?c. Using α = 0.05, is there significant interaction between Factors A and B?d. Using α = 0.05, are the Factor A means
Consider the following data collected for a two way ANOVA:a. Using α = 0.05, is there significant interaction between Factors A and B?b. Using α = 0.05, are the Factor A means different?c. Using α = 0.05, are the Factor B means different?
Using the data from Problem 11.2, determine which means are different using α = 0.05.In Problem
Using the data from Problem 11.29, determine which means are different using α = 0.05, when warranted.In Problem
Consider the following partially completed two way ANOVA summary table:a. Complete the remaining entries in the table.b. How many replications are present for each cell?c. Using α = 0.05, is there significant interaction between Factors A and B?d. Using α = 0.05, are the Factor A means
Consider the following data collected for a two way ANOVA:a. Using α = 0.05, is there significant interaction between Factors A and B?b. Using α = 0.05, are the Factor A means different?c. Using α = 0.05, are the Factor B means different?
Using the data from Problem 11.32, determine which means are different using α = 0.05, when warranted.In Problem
Suppose the Robert H. Smith School of Business at the University of Maryland would like to compare the starting salaries for both men and women who graduated with different majors. The following data show starting salaries for random students from the most recent graduating class. These data can
The recent Wall Street Journal article titled “The Power of a Gentle Nudge” cited a Stanford University study that researched the motivation of people to exercise. Participants were placed in one of three groups. After stating an exercise program, people in the first group received a phone call
Urban traffic congestion throughout the world has been increasing in recent years, especially in developing countries. The following table shows the number of minutes that randomly selected drivers spent stuck in traffic in various cities on both weekdays and weekends. The data for this problem can
A credit score is a numerical value between 300 and 850 that measures a person€™s creditworthiness. The following table shows the credit scores for randomly selected individuals from Texas, Pennsylvania, California, and Florida, who are grouped according to their ages. These data can also be
Movie theater ticket prices have been increasing to accommodate the demand for movies formatted in 3D. The following data show the prices for adult tickets for three different movie formats in three different cities. These data can also be found in the file ticket prices. xlsx.a. Using α = 0.05,
The following table shows the retirement ages for a random sample of retirees from four different countries according to their genders. These data can also be found in the file retirement. xlsx.a. Using α = 0.05, is there significant interaction between the country and the gender?b. Using a
Consider the following partially completed one way ANOVA summary table:a. Complete the remaining entries in the table.b. How many population means are being tested?c. Using α = 0.01, what conclusions can be made concerning the population means?
A critical factor in the successful operation in today€™s hospital system is the effective staffing of emergency room (ER) personnel. In an effort to examine this issue, Wilmington Hospital would like to determine if the average number of emergency room visits differs over the three 8
Television advertisers base their investment decisions regarding the promotion of their products and services on demographic information about television viewers. The age of the viewers is a key factor in this process. The following table shows the number of hours that a random sample of
Because most National Football League games are sold out, the secondary market, in which people resell their tickets, is very active during the season. The following table shows the price for secondary market tickets to the games of four NFL teams. These data can also be found in the Excel file NFL
Budget shortfalls in many states during the most recent recession placed a strain on education resources. One area that receives much attention from both parents and administrators is the number of students per teacher. Suppose the U. S. Department of Education would like to compare this ratio in
The following table shows the selling price of a random sample of residential homes, in thousands of dollars, at three beach communities in New Jersey. The homes are categorized by the real estate firm that is listing the home. These data can also be found in the Excel file beach.xlsx.a. Using α =
Suppose Consumer Reports would like to conduct a study comparing the prices of televisions made by different manufacturers. The following data show the prices of a random sample of televisions for various screen sizes. These data can also be found in the Excel file Consumer Reports.xlsx.a. Using
Mike is a restaurant owner and has read about the effect that music can have on the amount of time that customers stay at their tables for dinner. To test this effect, Mike made arrangements to play slow paced music at his establishment on a busy Saturday night and recorded the time that customers
Suppose Scotts Lawn Care would like to test the effectiveness of four new grass fertilizers that it has developed. Each fertilizer is applied to identical size sections of grass, and after a period of time the sections of grass are mowed. The weight of the grass clippings are used to measure the
You have been assigned to test the hypothesis that the average number of hours worked per week by employees differs between the United States, China, and Sweden. The following data show the number of hours that a random sample of employees worked last week in each country. These data can also be
One area that fast food restaurants compete with one another is with the service time for the drive through window. The following data show the drive through service times, in minutes, for a random sample of customers at three fast food chains. These data can also be found in the Excel file drive
Consider the following data collected from four independent populations:a. Calculate the total sum of squares (SST).b. Partition the total sum of squares (SST) into its two components.c. Using α = 0.01, what conclusions can be made about the population means?
The following data show customer satisfaction scores, on a scale of 1– 20, for a chain of hair salons at three different locations during specific days of the week. The manager would like to investigate if a difference exists in satisfaction scores between these locations. These data can also be
The data in the following table represent the number of days that a random sample of homes in four price ranges were on the market before being sold for three different competing real estate companies in a local area. You have been assigned to test the hypothesis that the average number of days
Some research has indicated that diet programs may be more effective when the dieter reports their weight loss progress publically to others. A consumer group organization would like to compare the average weight loss for those that report their progress to those that do not report. This group
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