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business
business statistics for contemporary
Questions and Answers of
Business Statistics For Contemporary
A random sample of size n = 11 is obtained from a normally distributed population with a population mean of m = 27 and a variance of s2 = 16.a. What is the probability that the sample mean is greater
A random sample of size n = 16 is obtained from a normally distributed population with a population mean of m = 114 and a variance of s2 = 484.a. What is the probability that the sample mean is
Consider a normally distributed population with a population mean of m = 55 and a variance of s2 = 20.a. What is the probability that the sample variance is greater than 40 when n = 16?b. What is the
The annual percentage salary increases for the chief executive officers of all midsize corporations are normally distributed with mean 12.2% and standard deviation 3.6%. A random sample of 81 of
Seong-Un is a local fishery in Busan, the second mostpopulous city in South Korea. In 2017, an employee survey conducted by Seong-Un found that 55% of its employees were concerned about future health
Forty percent of students at small colleges have brought their own personal computers to campus. A random sample of 120 entering freshmen was taken.a. What is the standard error of the sample
A journalist wanted to learn the views of the chief executive officers of the 500 largest U.S. corporations on program trading of stocks. In the time available, it was possible to contact only a
Suppose that 50% of all adult Americans believe that federal budget deficits at recent levels cause long-term harm to the nation’s economy. What is the probability that more than 58% of a random
Suppose that in Europe, 55% of all adults believe that a major overhaul of the economy’s health care delivery system is essential. What is the probability that more than 65% of a random sample of
A company wants to estimate the proportion of people who are likely to purchase electric shavers from those who watch the FIFA World Cup. A random sample obtained information from 150 people who were
Ahead of the 2019 Indian general election, a random sample of 100 voters is taken to estimate the proportion of a state’s electorate in favor of increasing the fuel tax to provide additional
A random sample of 100 voters is taken to estimate the proportion of a state’s electorate in favor of increasing the gasoline tax to provide additional revenue for highway repairs. What is the
A store has determined that 30% of all lawn mower purchasers will also purchase a service agreement. In 1 month 280 lawn mowers are sold to customers, who can be regarded as a random sample of all
A corporation is considering a new issue of convertible bonds. Management believes that the offer terms will be found attractive by 20% of all its current stockholders.Suppose that this belief is
A charity has found that 42% of all donors from last year will donate again this year. A random sample of 300 donors from last year was taken.a. What is the standard error of the sample proportion
A corporation receives 120 applications for positions from recent college graduates in business. Assuming that these applicants can be viewed as a random sample of all such graduates, what is the
An administrator for a large group of hospitals believes that of all patients 30% will generate bills that become at least 2 months overdue. A random sample of 200 patients is taken.a. What is the
A record store owner finds that 20% of customers entering her store make a purchase. One morning 180 people, who can be regarded as a random sample of all customers, enter the store.a. What is the
Suppose that 80% of all tax returns in your country lead to a refund. A random sample of 100 tax returns is taken.a. What is the mean of the distribution of the sample proportion of returns leading
In 1992, Canadians voted in a referendum on a new constitution. In the province of Quebec, 42.4% of those who voted were in favor of the new constitution. A random sample of 100 voters from the
Suppose that we have a population with proportion P = 0.30, and a random sample of size n = 900 drawn from the population.a. What is the probability that the sample proportion is more than 0.32?b.
Suppose that we have a population with proportion P = 0.55, and a random sample of size n = 150 drawn from the population.a. What is the probability that the sample proportion is more than 0.60?b.
Suppose that we have a population with proportion P = 0.20 and a random sample of size n = 100 drawn from the population.a. What is the probability that the sample proportion is greater than 0.18?b.
Suppose that we have a population with proportion P = 0.30 and a random sample of size n = 200 drawn from the population.a. What is the probability that the sample proportion is greater than 0.28?b.
For an audience of 600 people attending a concert, the average time on the journey to the concert was 32 minutes, and the standard deviation was 10 minutes. A random sample of 150 audience members
An English literature course was taken by 250 students.Each member of a random sample of 50 of these students was asked to estimate the amount of time he or she spent on the previous week’s
Suppose Incheon, a city in South Korea, has 500 real estate agents. The mean value of the properties sold in a year by these agents is $550,000, and the standard deviation is $200,000. A random
In taking a sample of n observations from a population of N members, the variance of the sampling distribution of the sample means is as follows:sx 2 =s2x n# N - n N - 1 The quantity 1N - n2 1N - 12
A chain of coffee shops, BeanBoy, is experiencing financial pressures due to increased competition for its numerous urban coffee shops. Total sales revenue has dropped by 15% and BeanBoy wishes to
The number of hours spent studying by students on a large campus in the week before final exams follows a normal distribution with a standard deviation of 8.4 hours. A random sample of these students
The price-earnings ratios for all companies whose shares are traded on the Tokyo Stock Exchange follow a normal distribution with a standard deviation of 3.5. A random sample of these companies is
An industrial process produces batches of a chemical whose impurity levels follow a normal distribution with standard deviation 1.6 grams per 100 grams of chemical. A random sample of 100 batches is
The times spent studying by students in the week before final exams follows a normal distribution with standard deviation 8 hours. A random sample of four students was taken in order to estimate the
Assume that the standard deviation of monthly rents paid by students in a particular town is $40. A random sample of 100 students was taken to estimate the mean monthly rent paid by the whole student
A company produces breakfast cereal. The true mean weight of the contents of its cereal packages is 20 ounces, and the standard deviation is 0.6 ounce. The population distribution of weights is
A random sample of 16 junior managers in the offices of corporations in a large city center was taken to estimate average daily commuting time for all such managers. Suppose that the population times
Candidates for employment at a city fire department are required to take a written aptitude test. Scores on this test are normally distributed with a mean of 280 and a standard deviation of 60. A
The mean selling price of senior condominiums in Green Valley over a year was $215,000. The population standard deviation was $25,000. A random sample of 100 new unit sales was obtained.a. What is
The fuel consumption, in miles per gallon, of all cars of a particular model has a mean of 21 and a standard deviation of 5. The population distribution can be assumed to be normal. A random sample
The lifetimes of lightbulbs produced by a particular manufacturer have a mean of 1,200 hours and a standard deviation of 400 hours. The population distribution is normal. Suppose that you purchase
When a production process is operating correctly, the number of units produced per hour has a normal distribution with a mean of 105 and a standard deviation of 20. A random sample of 25 different
Given a population with mean m = 400 and variance s2 = 1, 600, the central limit theorem applies when the sample size is n Ú 25. A random sample of size n = 35 is obtained.a. What are the mean and
Given a population with a mean of m = 104 and a variance of s2 = 81, the central limit theorem applies when the sample size is n Ú 25. A random sample of size n = 25 is obtained.a. What are the mean
Given a population with a mean of m = 150 and a variance of s2 = 1,600, the central limit theorem applies when the sample size is n Ú 25. A random sample of size n = 36 is obtained.a. What are the
Given a population with a mean of m = 105 and a variance of s2 = 16, the central limit theorem applies when the sample size is n Ú 25. A random sample of size n = 25 is obtained.a. What are the mean
Suppose that a mathematician said that it is impossible to obtain a simple random sample from a real-world population. Therefore, the whole basis for applying statistical procedures to real problems
A population contains two million 0s and nine million 1s. What is the approximate sampling distribution of the sample mean in each of the following cases?a. The sample size is n = 4b. The sample size
Suppose you are given a die and are asked to roll the die two times and write down the numerical value that results from each roll. You are also told that you can keep rolling as long as you get a
Suppose you have a traditional die with 6 faces numbered from 1 to 6.a. What is the population distribution of numbers on the die?b. Determine the sampling distribution of the sample mean of the
Consider a portfolio that contains stocks from the following firms: AB Volvo, Pentair, Inc., Reliant Energy, Inc., TCF Financial, 3M Company, and Restoration Hardware. Data for these stocks for a
Deep Water Financial of Duluth, Minnesota, has asked you to evaluate the stock price growth for a portfolio containing the following firms: General Motors, International Business Machines, Potlatch,
You have been asked to evaluate the monthly stock price growth for a portfolio which contains the following firms: 3M Company, Alcoa, Inc., Intel Corporation, Potlatch Corp., General Motors, and Sea
Charles Thorson has asked you to determine the mean and variance for a portfolio that consists of 100 shares of stock from each of the following firms: 3M Company, Alcoa, Inc., Intel Corporation,
Zafer Toprak is a developing a new mutual fund portfolio and in the process has asked you to develop the mean and variance for the stock price that consists of 10 shares of stocks from Alcoa Inc., 20
Shirley Johnson is developing a new mutual fund portfolio and in the process has asked you to develop the mean and variance for the stock price that consists of 10 shares of stocks from each of the
An investment portfolio in Finland specializes in pulp and paper stocks and includes two of them. One is Valmet (mean 0.1; standard deviation .025), and it accounts for 40% of the portfolio shares.
PowerChina, a Chinese construction company, is building a large, new retail center at the Chengdu Industrial Development Zone, Sichuan. Yao Minhao, one of the project managers, requests that a pile
BNP Paribas, France, buys and sells a large number of stocks routinely for the various accounts that it manages.Portfolio manager Louise Abou has asked for your assistance in the analysis of the
Guardian Wealth Management, a financial planning company in Geneva, Switzerland, buys and sells a large number of stocks routinely for the various accounts that it manages. Portfolio manager Anne
A management consultant found that the amount of time per day spent by executives performing tasks that could be done equally well by subordinates followed a normal distribution with a mean of 2.4
A Godiva Chocolate Shop in Germany offers different sizes and weights of boxes of truffles.a. Find the probability that a box of truffles weighs between 300 and 305 grams. The mean weight of a box is
A fish market in Phnom Penh, Cambodia, offers a large variety of fresh fish on its stands. You want to prepare the popular Khmer dish called amok and found that the average chunk of catfish, one of
In a large department store a customer-complaints office handles an average of 12 complaints per hour about the quality of service. The distribution is Poisson.a. What is the probability that in any
Helicopteros Sanitarios, an ambulance service in Fuengirola, Spain, receives an average of 20 calls per day during the time period 6 p.m. to 6 a.m. for assistance.For any given day what is the
An organization that gives regular seminars on sales motivation methods determines that 55% of its clients have attended previous seminars. From a sample of 500 clients what is the probability that
A market research organization has found that 45%of all supermarket shoppers refuse to cooperate when questioned by its pollsters. If 1,500 shoppers are approached, what is the probability that fewer
Suppose data show that a country that has yearly expenses for research and development (R&D) follows a normal distribution with an average of $10 billion. It also indicates that 15% of the countries
Pizza EATaliano, a pizzeria in Budapest, delivers to residents of Vécsey street, Budapest. Delivery times follow a normal distribution with a mean of 30 minutes and a standard deviation of 6
It has been found that times taken by people to complete a particular tax form follow a normal distribution with a mean of 120 minutes and a standard deviation of 40 minutes.a. What is the
Aircon, a South African company, services home air conditioners. It is known that times for service calls follow a normal distribution with mean of 50 minutes and a standard deviation of 12
An ice-cream truck has an average daily profit of £250 with a standard deviation of £40.a. If a random business day is selected, what is the probability that the day’s profit is more than
Let X1 and X2 be a pair of random variables. Show that the covariance between the random variables Y1 = 12X1 + X22 and Y2 = 12X1 - X22 is 3 if X1 and X2 have the same variance.
A manufacturing team leader is evaluating the goods’production forecast times by comparing the actual times with the predicted times, where:actual time = predicted time + forecast error If the
A cobbler repairs shoes with normal damages for €2 each. The repaired shoes have a distribution with a mean of 60 and a standard deviation of 10.a. Find the mean daily total revenue earned from the
An investment plan allows investors to deposit a minimum of £1,000 at the beginning of the term, which pays a fixed return rate of 5% per annum. After a year, investors have to deposit a minimum
The random variable X has probability density function as follows:f1x2 = •x for 0 6 x 6 1 2 - x for 1 6 x 6 2 0 for all other values of xa. Graph the probability density function for X.b. Show that
The ages of a group of executives attending a convention are uniformly distributed between 35 and 65 years. If the random variable X denotes ages in years, the probability density function is as
A consultant knows that it will cost him $10,000 to fulfill a particular contract. The contract is to be put out for bids, and he believes that the lowest bid, excluding his own, can be represented
The nation of Waipo has recently created an economic development plan that includes expanded exports and imports. It has completed a series of extensive studies of the world economy and Waipo’s
You have been asked to determine the probability that the contribution margin for a particular product line exceeds the fixed cost of $1420. The total number of units sold is a normally distributed
The nation of Olecarl, located in the South Pacific, has asked you to analyze international trade patterns. You first discover that each year it exports 10 units and imports 10 units of wonderful
Prairie Flower Cereal has annual sales revenue of$400,000,000. George Severn, a 58-year-old senior vice president, is responsible for production and sales of Nougy 93 Fruity cereal. Daily production
Shirley Johnson, portfolio manager, has asked you to analyze a newly acquired portfolio to determine its mean value and variability. The portfolio consists of 50 shares of Xylophone Music and 40
It is estimated that in normal highway driving, the number of miles that can be covered by automobiles of a particular model on 1 gallon of gasoline can be represented by a random variable with mean
Ten inspectors are employed by Norway’s Kitron Group to check the quality of components produced on an assembly line. For each inspector the number of components that can be checked in a shift can
A consultant has three sources of income—from teaching short courses, from selling computer software, and from advising on projects. His expected annual incomes from these sources are
A consultant is beginning work on three projects.The expected profits from these projects are €65,000,€83,000, and €57,000. The associated standard deviations are €12,500, €17,200, and
A homeowner has installed a new energy-efficient furnace.It is estimated that over a year the new furnace will reduce energy costs by an amount that can be regarded as a random variable with a mean
An investor plans to divide $200,000 between two investments.The first yields a certain profit of 10%, whereas the second yields a profit with expected value 18% and standard deviation 6%. If the
A random variable X is normally distributed with a mean of 14.2 and a variance of 2.25, and a random variable Y is normally distributed with a mean of 13.5 and a variance of 0.81. The random
A random variable X is normally distributed with a mean of 250 and a variance of 16.81, and a random variable Y is normally distributed with a mean of 360 and a variance of 13.69. The random
A random variable X is normally distributed with a mean of 50 and a variance of 5.76, and a random variable Y is normally distributed with a mean of 20 and a variance of 9.61. The random variables
A random variable X is normally distributed with a mean of 28 and a variance of 1.44, and a random variable Y is normally distributed with a mean of 13 and a variance of 0.36. The random variables
A random variable X is normally distributed with a mean of 10 and a variance of 4, and a random variable Y is normally distributed with a mean of 15 and a variance of 25. The random variables have a
Delivery trucks arrive independently at the Floorstore Regional distribution center with various consumer items from the company’s suppliers. The mean number of trucks arriving per hour is 20.
Swapna David is a customer assistant consultant for Acme Information Systems, who provides assistance for computer users. The mean number of calls per hour is 30 from across Europe and calls are
Suppose that the time between successive occurrences of an event follows an exponential distribution with a mean of 1>l minutes. Assume that an event occurs.a. Show that the probability that more
It is known that for a laboratory computing system the number of system failures during a month has a Poisson distribution with a mean of 0.8. The system has just failed. Find the probability that at
Times to gather preliminary information from arrivals at an outpatient clinic follow an exponential distribution with mean 15 minutes. Find the probability, for a randomly chosen arrival, that more
A professor sees students during regular office hours.Time spent with students follows an exponential distribution with a mean of 10 minutes.a. Find the probability that a given student spends fewer
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