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mathematics
statistics

Questions and Answers of Statistics

The average cost per square foot for office rental space in the central business district of Philadelphia is $23.58, according to Cushman & Wakefield. A large real estate company wants to confirm
The American Water Works Association reports that, on average, men use between 10 and 15 gallons of water daily to shave when they leave the water running.Suppose the following data are the numbers
Downtime in manufacturing is costly and can result in late deliveries, backlogs, failure to meet orders, and even loss of market share. Suppose a manufacturing plant has been averaging 23 minutes of
According to the U.S. Census Bureau, the average American generates 4.4 pounds of garbage per day. Suppose we believe that because of recycling and a greater emphasis on the environment, the figure
One survey conducted by RHI Management Resources determined that the Lexus is the favorite luxury car for 25% of CFOs. Suppose a financial management association conducts its own survey of CFOs in an
In a recent year, published statistics by the National Cattlemen’s Beef Association claimed that the average retail beef price for USDA All Fresh beef was $2.51. Suppose a survey of retailers is
The American Express Retail Index states that the average U.S. household will spend $2747 on home improvement projects this year. Suppose a large national home improvement company wants to test that
Frito Company was founded in 1932 in San Antonio, Texas, by Elmer Doolin. H.W. Lay & Company was founded in Atlanta, Georgia, by Herman W. Lay in 1938.In 1961, the two companies merged to form
a. Test the following hypotheses of the difference in population means by using the following data (α = .10) and the eight-step process.H0: µ1 - µ2 = 0Ha: µ1 - µ2 < 0Sample 1 .....Sample 2n1
Use the following sample information to construct a 90% confidence interval for the difference in the two population means.Sample 1 ...Sample 2n1 = 32 ..... n2 = 31x̄1 = 70.4 ...x̄2 = 68.7σ21 =
Examine the following data. Assume the variances for the two populations are 22.74 and 26.65, respectively.a. Use the data to test the following hypotheses (α = .02).H0: µ1 - µ2 = 0Ha: µ1 - µ2
The Trade Show Bureau conducted a survey to determine why people go to trade shows. The respondents were asked to rate a series of reasons on a scale from 1 to 5, with 1 representing little
Suppose you own a plumbing repair business and employ 15 plumbers. You are interested in estimating the difference in the average number of calls completed per day between two of the plumbers. A
The Bureau of Labor Statistics shows that the average insurance cost to a company per employee per hour is $1.84 for managers and $1.99 for professional specialty workers. Suppose these figures were
A company’s auditor believes the per diem cost in Nashville, Tennessee, rose significantly between 2001 and 2011. To test this belief, the auditor samples 51 business trips from the company’s
Suppose a market analyst wants to determine the difference in the average price of a gallon of whole milk in Seattle and Atlanta. To do so, he takes a telephone survey of 21 randomly selected
Employee suggestions can provide useful and insightful ideas for management. Some companies solicit and receive employee suggestions more than others, and company culture influences the use of
Two processes in a manufacturing line are performed manually: operation A and operation B.A random sample of 50 different assemblies using operation A shows that the sample average time per assembly
Use the data given and the eight-step process to test the following hypotheses.H0: µ1 - µ2 = 0 ....... Ha: µ1 - µ2 < 0Sample 1 ...Sample 2n1 = 8 ...... n2 = 11x̄1 = 24.56 ...x̄2 = 26.42s21 =
a. Use the following data and α = .10 to test the stated hypotheses. Assume x is normally distributed in the populations and the variances of the populations are approximately equal.H0: µ1 - µ2 =
Suppose that for years the mean of population 1 has been accepted as the same as the mean of population 2, but that now population 1 is believed to have a greater mean than population 2. Letting Î±
a. Suppose you want to determine whether the average values for populations 1 and 2 are different, and you randomly gather the following data.Test your conjecture, using a probability of committing a
Suppose a realtor is interested in comparing the asking prices of midrange homes in Peoria, Illinois, and Evansville, Indiana. The realtor conducts a small telephone survey in the two cities, asking
According to an Experiential Education Survey published at JobWeb.com, the average hourly wage of a college student working as a co-op is $15.64 an hour and the average hourly wage of an intern is
Based on an indication that mean daily car rental rates may be higher for Boston than for Dallas, a survey of eight car rental companies in Boston is taken and the sample mean car rental rate is $47,
What is the difference in average daily hotel room rates between Minneapolis and New Orleans? Suppose we want to estimate this difference by taking hotel rate samples from each city and using a 98%
A study was made to compare the costs of supporting a family of four Americans for a year in different foreign cities. The lifestyle of living in the United States on an annual income of $75,000 was
Some studies have shown that in the United States, men spend more than women buying gifts and cards on Valentine’s Day. Suppose a researcher wants to test this hypothesis by randomly sampling 9 men
Use the data given and a 1% level of significance to test the following hypotheses. Assume the differences are normally distributed in the population.H0: D = 0 .......Ha: D >0
Use the data given to test the following hypotheses (Î± = .05) Assume the differences are normally distributed in the population.H0: D = 0 .......Ha: D â‰ 0
Construct a 98% confidence interval to estimate D from the following sample information. Assume the differences are normally distributed in thepopulation.
Construct a 90% confidence interval to estimate D from the following sample information. Assume the differences are normally distributed in thepopulation.
Because of uncertainty in real estate markets, many homeowners are considering remodeling and constructing additions rather than selling. Probably the most expensive room in the house to remodel is
The vice president of marketing brought to the attention of sales managers that most of the company€™s manufacturer representatives contacted clients and maintained client relationships in
Eleven employees were put under the care of the company nurse because of high cholesterol readings. The nurse lectured them on the dangers of this condition and put them on a new diet. Shown are the
Lawrence and Glover published the results of a study in the Journal of Managerial Issues in which they examined the effects of accounting firm mergers on auditing delay. Auditing delay is the time
A nationally known supermarket decided to promote its own brand of soft drinks on TV for two weeks. Before the ad campaign, the company randomly selected 21 of its stores across the United States to
Is there a significant difference in the gasoline mileage of a car for regular unleaded and premium unleaded? To test this question, a researcher randomly selected 15 drivers for a study. They were
Using the given sample information, test the following hypotheses. a. H0: p1 – p2 = 0.......Ha: p1 – p2 ≠ 0Sample 1 .... Sample 2n1 = 368 ... n2 = 405x1= 175 ... x2 = 182Let α = .05. x is the
In each of the following cases, calculate a confidence interval to estimate p1 - p2.a. n1 = 85, n2 = 90, p̂1 = .75, p̂2 = .67, level of confidence = 90%b. n1 = 1100, n2 = 1300, p̂1 = .19, p̂2 =
According to a study conducted by a major computer company, 59% of men and 70% of women say that weight is an extremely/very important factor in purchasing a laptop computer. Suppose this survey was
Does age make a difference in the amount of savings a worker feels is needed to be secure at retirement? A study by Comm Sciences for Transamerica Asset Management found that .24 of workers in the
Companies that recently developed new products were asked to rate which activities are most difficult to accomplish with new products. Options included such activities as assessing market potential,
A large production facility uses two machines to produce a key part for its main product. Inspectors have expressed concern about the quality of the finished product. Quality control investigation
According to a CCH Unscheduled Absence survey, 9% of small businesses use telecommuting of workers in an effort to reduce unscheduled absenteeism. This proportion compares to 6% for all businesses.
Many Americans spend time worrying about paying their bills. A survey by Fleishman-Hilliard Research for MassMutual discovered that 60% of Americans with kids say that paying bills is a major
Test the following hypotheses by using the given sample information and α = .01. Assume the populations are normally distributed.H0: σ21 = σ22 .......Ha: σ21 < σ22n1 = 10, ....... n2 = 11,
Test the following hypotheses by using the given sample information and α = .05. Assume the populations are normally distributed.H0: σ21 = σ22 .......Ha: σ21 ≠ σ22n1 = 5, ....... n2 = 19,
Suppose the data shown here are the results of a survey to investigate gasoline prices.Ten service stations were selected randomly in each of two cities and the figures represent the prices of a
How long are resale houses on the market? One survey by the Houston Association of Realtors reported that in Houston, resale houses are on the market an average of 112 days. Of course, the length of
One recent study showed that the average annual amount spent by an East Coast household on frankfurters was $23.84 compared with an average of $19.83 for West Coast households. Suppose a random
According to the General Accounting Office of the U.S. government, the average age of a male federal worker is 43.6 years and that of a male worker in the nonfederal sector is 37.3 years. Is there
Test the following hypotheses with the data given. Let α = .10.Sample 1 .... Sample 2x̄1 = 138.4 .... x̄2 = 142.5σ1 = 6.71 .... σ2 = 8.92n1 = 48 ..... n2 = 39
Use the following data to construct a 98% confidence interval to estimate the difference between µ1 and µ2.x̄1 = 34.9 ... x̄2 = 27.6σ21 = 2.97 ... σ22 = 3.50n1 = 34 .... n2 = 31
The following data come from independent samples drawn from normally distributed populations. Use these data to test the following hypotheses. Let the Type I error rate be .05.H0: µ1 - µ2 = 0Ha:
Construct a 95% confidence interval to estimate µ1 - µ2 by using the following data. Assume the populations are normally distributed.Sample 1 .. Sample 2x̄1 = 74.6 .... x̄2 = 70.9s21 = 10.5
The following data have been gathered from two related samples. The differences are assumed to be normally distributed in the population. Use these data and alpha of .01 to test the
Use the following data to construct a 99% confidence interval to estimate D. Assume the differences are normally distributed in thepopulation.
Test the following hypotheses by using the given data and alpha equal to .05.H0: p1 - p2 = 0Ha: p1 - p2 ≠ 0Sample 1 .. Sample 2n1 = 783 .... n2 = 896x1 = 345 .... x2 = 421
Use the following data to construct a 99% confidence interval to estimate p1 - p2.Sample 1 ... Sample 2n1 = 409 ... n2 = 378p̂1 = .71 ... p̂2 = .67
Test the following hypotheses by using the given data. Let α = .05.H0: σ21 = σ22Ha: σ21 ≠ σ22n1 = 8, n2 = 10, s21 = 46, s22 = 37
Suppose a large insurance company wants to estimate the difference between the average amount of term life insurance purchased per family and the average amount of whole life insurance purchased per
A study is conducted to estimate the average difference in bus ridership for a large city during the morning and afternoon rush hours. The transit authority€™s researcher randomly selects
There are several methods used by people to organize their lives in terms of keeping track of appointments, meetings, and deadlines. Some of these include using a desk calendar, using informal notes
A study was conducted to compare the salaries of accounting clerks and data entry operators. One of the hypotheses to be tested is that the variability of salaries among accounting clerks is the same
A study was conducted to develop a scale to measure stress in the workplace. Respondents were asked to rate 26 distinct work events. Each event was to be compared with the stress of the first week on
A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average weight of turkeys sold in Charlotte. According to the chain’s
A tree nursery has been experimenting with fertilizer to increase the growth of seedlings. A sample of 35 two-year-old pine trees is grown for three more years with a cake of fertilizer buried in the
One of the most important aspects of a store’s image is the perceived quality of its merchandise. Other factors include merchandise pricing, assortment of products, convenience of location, and
Is there more variation in the output of one shift in a manufacturing plant than in another shift? In an effort to study this question, plant managers gathered productivity reports from the 8 A.M.to
What is the average difference between the price of name-brand soup and the price of store-brand soup? To obtain an estimate, an analyst randomly samples eight stores. Each store sells its own brand
As the prices of heating oil and natural gas increase, consumers become more careful about heating their homes. Researchers want to know how warm homeowners keep their houses in January and how the
In manufacturing, does worker productivity drop on Friday? In an effort to determine whether it does, a company€™s personnel analyst randomly selects from a manufacturing plant five workers
A manufacturer uses two machines to drill holes in pieces of sheet metal used in engine construction. The workers who attach the sheet metal to the engine become inspectors in that they reject sheets
Is there a difference in the proportion of construction workers who are under 35 years of age and the proportion of telephone repair people who are under 35 years of age? Suppose a study is conducted
Executives often spend so many hours in meetings that they have relatively little time to manage their individual areas of operation. What is the difference in mean time spent in meetings by
Various types of retail outlets sell toys during the holiday season. Among them are specialty toy stores, large discount toy stores, and other retailers that carry toys as only one part of their
One of the thrusts of quality control management is to examine the process by which a product is produced. This approach also applies to paperwork. In industries where large long-term projects are
For the two large newspapers in your city, you are interested in knowing whether there is a significant difference in the average number of pages in each dedicated solely to advertising. You randomly
A study by Colliers International presented the highest and the lowest global rental rates per year per square foot of office space. Among the cities with the lowest rates were Perth, Australia;
Why do employees €œblow the whistle€ on other employees for unethical or illegal behavior? One study conducted by the AICPA reported the likelihood that employees would blow the
A large manufacturing company produces computer printers that are distributed and sold all over the United States. Due to lack of industry information, the company has a difficult time ascertaining
A manufacturing company produces plastic pipes that are specified to be 10 inches long and 1/8 inch thick with an opening of 3/4 inch. These pipes are molded on two different machines. To maintain
The Seitz Corporation, a QS 9000 certified organization based in Torrington, Connecticut, is a leading designer and manufacturer of thermoplastic motion control systems and components and an industry
Some New York Stock Exchange analysts believe that 24-hour trading on the stock exchange is the wave of the future. As an initial test of this idea, the New York Stock Exchange opened two after-hour
Southwest Airlines is able to keep fares low, in part because of relatively low maintenance costs on its airplanes. One of the main reasons for the low maintenance costs is that Southwest flies only
A large multinational banking company wants to determine whether there is a significant difference in the average dollar amounts purchased by users of different types of credit cards. Among the
Compute a one-way ANOVA on the following data.Determine the observed F value. Compare the observed F value with the critical table F value and decide whether to reject the null hypothesis. Use
Compute a one-way ANOVA on the following data.Determine the observed F value. Compare the observed F value with the critical table F value and decide whether to reject the null hypothesis. Use
Develop a one-way ANOVA on the following data.Determine the observed F value. Compare it to the critical F value and decide whether to reject the null hypothesis. Use a 1% level of significance.
Compute a one-way ANOVA on the following data.1 .. 227 ... 2231 ... 2731 ... 2529 ... 2330 ... 2627 ... 2728 ... 23Determine the observed F value. Compare it to the critical table F value and decide
Suppose you are using a completely randomized design to study some phenomenon. There are five treatment levels and a total of 55 people in the study. Each treatment level has the same sample size.
Suppose you are using a completely randomized design to study some phenomenon. There are three treatment levels and a total of 17 people in the study. Complete the following ANOVA table. Use
A milk company has four machines that fill gallon jugs with milk. The quality control manager is interested in determining whether the average fill for these machines is the same. The following data
That the starting salaries of new accounting graduates would differ according to geographic regions of the United States seems logical. A random selection of accounting firms is taken from three
A management consulting company presents a three-day seminar on project management to various clients. The seminar is basically the same each time it is given. However, sometimes it is presented to
Family transportation costs are usually higher than most people believe because those costs include car payments, insurance, fuel costs, repairs, parking, and public transportation. Twenty randomly
Business is very good for a chemical company. In fact, it is so good that workers are averaging more than 40 hours per week at each of the chemical company€™s five plants. However,
Suppose an ANOVA has been performed on a completely randomized design containing six treatment levels. The mean for group 3 is 15.85, and the sample size for group 3 is eight. The mean for group 6 is
Using the results of problem 11.5, compute a critical value by using the Tukey-Kramer procedure for groups 1 and 2. Use α = .05 Determine whether there is a significant difference between these two

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