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business
business statistics communicating

Questions and Answers of Business Statistics Communicating

Assume that the following represent a population of N = 16 values:25 12 21 13 19 17 15 18 23 16 18 15 22 14 23 17a. Compute the population mean.b. If a random sample of n = 9 includes the following
Assume that the following represent a population of N = 24 values:10 14 32 9 34 19 31 24 33 11 14 30 6 27 33 32 28 30 10 31 19 13 6 35a. If a random sample of n = 10 items includes the following
Consider the following population:18 26 32 17 34 17 17 22 29 24 24 35 13 29 38 The following sample was drawn from this population:35 18 24 17 24 32 17 29a. Determine the sampling error for the
The following population is provided:17 15 8 12 9 7 9 11 12 14 16 9 5 10 14 13 12 12 11 9 14 8 14 12 Further, a simple random sample from this population gives the following values:12 9 5 10 14 11
The following data are the 16 values in a population:10 5 19 20 10 8 10 2 14 18 7 8 14 2 3 10a. Compute the population mean.b. Suppose a simple random sample of 5 values from the population is
A population has a mean of 125. If a random sample of 8 items from the population results in the following sampled values, what is the sampling error for the sample?103 123 99 107 121 100 100 99
Championship Billiards, owned by D & R Industries, in Lincolnwood, Illinois, provides some of the finest billiard fabrics, cushion rubber, and component parts in the industry. It sells billiard cloth
The Future-Vision Digital and Satellite TV Company recently surveyed its customers. A total of 548 responses were received. Among other things, the respondents were asked to indicate their household
Team Marketing Report (TMR) produces the Fan Cost Index™ (FCI) survey, which tracks the cost of attendance for a family of four at National Football League (NFL)games. The FCI includes four
Midwest Fan Manufacturing Inc. is a distributor of quality ventilation equipment. Midwest Fan’s products include the AXC range hood exhaust fans. The file titled Fan Life contains the length of
The Hydronics Company’s research and development department came up with two weight-loss products. To determine whether these products are effective, the company has conducted a test. A total of
The Cozine Corporation runs the landfill operation outside Little Rock, Arkansas. Each day, each of the company’s trucks makes several trips from the city to the landfill. On each entry, the truck
A manufacturing process applies a coating to a product in order to protect it from scratches. If the thickness of the coating follows a uniform distribution between 15 and 25 microns, determinea. the
If the average amount of time customers spent online at an Internet retailer’s site is assumed to be normally distributed with mean of 36 minutes and a standard deviation of 6 minutes, determinea.
If the time required to assemble a product is normally distributed with a mean of 180 minutes and a standard deviation of 15 minutes, finda. the probability that the product’s assembly time would
Assume that the amount of time eighth-graders take to complete an assessment examination is 78 minutes with a standard deviation of 12 minutes.a. What proportion of eighth-graders complete the
If the number of hours between servicing required for a particular snowmobile engine is exponentially distributed with an average of 118 hours, determine the probability that a randomly selected
The personnel manager for a large company is interested in the distribution of sick-leave hours for employees of her company. A recent study revealed the distribution to be approximately normal, with
A manager of a plywood plant organized a study of the diameters of trees that are shipped to the mill. After collecting a large amount of data on diameters, he concluded that the diameter is
A traffic control camera at a busy intersection records, on average, 5 traffic violations per hour. Assume that the random variable number of recorded traffic violations follows a Poisson
A product made by a window manufacturer is constructed of two pieces of glass 0.125 inch thick, with a thin layer of vinyl sandwiched between them. The average thickness of the laminated safety glass
The Shadow Mountain Golf Course is preparing for a major LPGA golf tournament. Since parking near the course is extremely limited (room for only 500 cars), the course officials have contracted with
Suppose eye shadow and eyeliner have a shelf life of up to three years, and the shelf lives of these two products are exponentially distributed with an average of one year.a. Calculate the
Assume that after the first 12 hours, the average remaining useful life of a particular battery (before recharging is required) is 9 hours and that the remaining time is exponentially distributed.
Domino’s Pizza receives majority of its orders by telephone. The call center supervisor conducted a study on the duration an order had been taken. He found that the amount of time a customer was
Two automatic dispensing machines are being considered for use in a fast-food chain. The first dispenses an amount of liquid that has a normal distribution with a mean of 11.9 ounces and a standard
The Four Brothers Lumber Company is considering buying a machine that planes lumber to the correct thickness. The machine is advertised to produce “6-inch lumber” having a thickness that is
Drive-through services are very popular and convenient to consumers today. It provides a business that allows customers to purchase products without leaving their cars. McDonald’s has customers
Assume that the time required to receive a confirmation that an electronic transfer has occurred is uniformly distributed between 30 and 90 seconds.a. What is the probability that a randomly selected
Suppose that, on average, 20 customers arrive every hour at a twenty-four-hour coffee shop. Assume that the time between customer arrivals is exponentially distributed. Determinea. the probability
Revisit Exercise 6-55, but examine whether it would matter when you started monitoring the 911 calls if the time between occurrences had a uniform distribution with a mean of 2 and a range of 4.a.
The exponential distribution has a characteristic that is called the “memoryless” property. This means P1X 7 x2 = P1X 7 x + x0 X 7 x02. To illustrate this, consider the calls coming into 911.
Suppose you tell one of your fellow students that when working with a continuous distribution, it does not make sense to try to compute the probability of any specific value, since it will be zero.
The probability that a value from a normally distributed random variable will exceed the mean is 0.50. The same is true for the uniform distribution. Why is this not necessarily true for the
Recall the Empirical Rule from Chapter 3. It states that if the data distribution is bell-shaped, then the interval m { s contains approximately 68% of the values, m { 2s contains approximately 95%,
Discuss the difference between discrete and continuous probability distributions. Discuss two situations in which a variable of interest may be considered either continuous or discrete.
The San Luis Obispo, California, Transit Program provides daily fixed-route transit service to the general public within the city limits and to Cal Poly State University’s staff and students. The
An article titled “You’re paying record ATM fees” by Kathryn Vasel states that the average ATM fee banks charge nonbank customers is $4.52 per transaction(source: http://money.cnn.com, Oct. 5,
The Schoonover Manufacturing Company monitors the downtimes on its key fabricating machines. Data for the downtimes on one particular machine are in the file called Schoonover. Assuming that the
Currently, a manufacturing company experiences an average of 0.75 equipment-related shutdowns per shift and the downtimes are exponentially distributed. In testing, a new maintenance program reduced
A customer spent half an hour to travel to an automotive service center. The duration of waiting in a particular automotive service center is uniformly distributed between 40 minutes and 3 hours.a.
A car is running on petrol. The time that particular car can go on before it is running out of petrol is exponentially distributed with the average of 50 minutes.a. The next petrol station is less
A car salesperson states that on an average two customers will buy a car from her every month.Assume that the probability distribution of the number of months a customer will buy a car from her is
The average time taken by a phone operator to complete a call is 4 minutes. Assume that the time is exponentially distributed. Find the probability that a phone operator took:a. more than 6 minutes
A delicatessen is open 24 hours a day every day of the week. If, on the average, 20 orders are received by fax every two hours throughout the day, find thea. probability that a faxed order will
The time to failure for a power supply unit used in a particular brand of personal computer (PC) is thought to be exponentially distributed with a mean of 4,000 hours as per the contract between the
According to a kindergarten teacher, the number of story books a child may read in a month is uniformly distributed from 2 to 8 books. Assuming each story book covers an average of 10 pages of words
Assume that the time it takes to build a laser printer is uniformly distributed between 8 and 15 hours.a. What are the chances that it will take more than 10 hours to build a printer?b. How likely is
Suppose buses stop in front of your hotel every 20 minutes throughout the day. If you show up at the bus stop at a random moment during the day, determine the probability thata. you will have to wait
The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.5 minutes.a. What is the probability that the time between the next two
The useful life of an electrical component is exponentially distributed with a mean of 2,500 hours.a. What is the probability the circuit will last more than 3,000 hours?b. What is the probability
Let x be an exponential random variable with l = 0.5.Calculate the following probabilities:a. P1x 6 52b. P1x 7 62c. P15 … x … 62d. P1x Ú 22e. the probability that x is at most 6
Suppose a random variable, x, has a uniform distribution with a = 5 and b = 9.a. Calculate P15.5 … x … 82.b. Determine P1x 7 72.c. Compute the mean, m, and standard deviation, s, of this random
Determine the following:a. the probability that a uniform random variable whose range is between 10 and 30 assumes a value in the interval (10 to 20) or (15 to 25)b. the quartiles for a uniform
A continuous random variable is uniformly distributed between 100 and 150.a. What is the probability a randomly selected value will be greater than 135?b. What is the probability a randomly selected
A file titled Tuition contains the percent change in in-state tuition for 50 universities (source: The College Board, “Annual survey of colleges,” October 2015).a. Produce a relative frequency
The file titled Drug$ contains daily cost data for a drug used to treat lung disease.a. Produce a relative frequency histogram for these data. Does it seem plausible the data were sampled from a
A November 13, 2015, report titled “The cost of hiring a new employee” by Annie Mueller (www.investopedia.com) indicated that the average cost for an American company to fill a job vacancy was
A senior loan officer for Whitney National Bank has recently studied the bank’s real estate loan portfolio and found that the loan balances are approximately normally distributed with a mean of
Jeff is a server developer in designing databases and is responsible for ensuring the server’s stability, reliability, and performance. Several complaints have been received from the customer
MP-3 players are wonderful devices for people who want to have access to their favorite music and videos in a portable format. They can store massive numbers of songs and videos. Although owners have
A Coca-Cola bottling plant’s product line includes 12-ounce cans of Coke products. The cans are filled by an automated filling process that can be adjusted to any mean fill volume and that will
A maternity wear designer sells dresses and pants priced around $150 each for an average total sale of$1,200. The total sale has a normal distribution with a standard deviation of $350.a. Calculate
The HR manager of a factory is reviewing the pay for part-time workers to determine a new policy for them.By referring to other factories’ pay scales, two types of payment system seem to be
Students in a classroom claim that they don’t have enough time to study due to too much homework being assigned to them. A teacher is interested to determine the time his students spend in
A private equity firm is evaluating two alternative investments. Although the returns are random, each investment’s return can be described using a normal distribution. The first investment has a
Philips is a leading health technology company in improving consumers’ health and home care. One of its most popular products is LED lights, designed to provide a safer light source. A hardware
An Internet retailer stocks a popular electronic toy at a central warehouse that supplies the eastern United States. Every week, the retailer makes a decision about how many units of the toy to
The average number of acres burned by forest and range fires in a large county in the West is 5,300 acres per year, with a standard deviation of 750 acres. The distribution of the number of acres
An expensive watch is powered by a 3-volt lithium battery expected to last three years. Suppose the life of the battery has a standard deviation of 0.3 year and is normally distributed.a. Determine
Doggie Nuggets Inc. (DNI) sells large bags of dog food to warehouse clubs. DNI uses an automatic filling process to fill the bags. Weights of the filled bags are approximately normally distributed
A global financial institution transfers a large data file every evening from offices around the world to its London headquarters. Once the file is received, it must be cleaned and partitioned before
A random variable is normally distributed with a mean of 60 and a standard deviation of 9.a. What is the probability that a randomly selected value from the distribution will be less than 46.5?b.
A random variable is normally distributed with a mean of 25 and a standard deviation of 5. If an observation is randomly selected from the distribution,a. What value will be exceeded 10% of the
Assume that a random variable is normally distributed with a mean of 1,500 and a variance of 324.a. What is the probability that a randomly selected value will be greater than 1,550?b. What is the
A randomly selected value from a normal distribution is found to be 2.1 standard deviations above its mean.a. What is the probability that a randomly selected value from the distribution will be
A random variable is known to be normally distributed with the following parameters:m = 5.5 and s = 0.50a. Determine the value of x such that the probability of a value from this distribution
A population is normally distributed with m = 100 and s = 20.a. Find the probability that a value randomly selected from this population will be greater than 130.b. Find the probability that a value
For the following normal distributions with parameters as specified, calculate the required probabilities:a. m = 5, s = 2; calculate P10 6 x 6 82.b. m = 5, s = 4; calculate P10 6 x 6 82.c. m = 3, s =
A random variable, x, has a normal distribution with m = 13.6 and s = 2.90. Determine a value, x0, so thata. P1x 7 x02 = 0.05.b. P1x … x02 = 0.975.c. P1m - x0 … x … m + x02 = 0.95.
Consider a random variable, z, that has a standardized normal distribution. Determine the following probabilities:a. P10 6 z 6 1.962b. P1z 7 1.6452c. P11.28 6 z … 2.332d. P1-2 … z … 32e. P1z 7
For a standardized normal distribution, determine a value, say z0, so thata. P10 6 z 6 z02 = 0.4772b. P1-z0 … z 6 02 = 0.45c. P1-z0 … z … z02 = 0.95d. P1z 7 z02 = 0.025e. P1z … z02 = 0.01
For a standardized normal distribution, calculate the following probabilities:a. P10.00 6 z … 2.332b. P1-1.00 6 z … 1.002c. P11.78 6 z 6 2.342
For a standardized normal distribution, calculate the following probabilities:a. P1z 6 1.52b. P1z Ú 0.852c. P1-1.28 6 z 6 1.752
For a normally distributed population with m = 200 and s = 20, determine the standardized z-value for each of the following:a. x = 225b. x = 190c. x = 240
Covercraft manufactures covers to protect automobile and boat interiors and finishes. Its Block-It 200 Series fabric has a limited two-year warranty. Periodic testing is done to determine if the
Darlington Industries produces a wide array of home safety and security products, including smoke alarms.As part of its quality-control program, it constantly tests to assure that the alarms work. A
A 23-mile stretch of a two-lane highway east of Paso Robles, California, was once considered a “death trap”by residents of San Luis Obispo County. Formerly known as “Blood Alley,” Highway 46
The manager of an online shopping website has determined that an average of 11 customers per minute make a purchase on Saturdays. The manager believes that each customer’s purchase is independent
A large mail sorting center finds that, on average, 0.5% of all letters have an incorrect address.a. What is the probability that in a random sample of 500 letters at the center exactly 5 letters
A machine produces parts continuously throughout the day with an overall defect rate of 0.80%. Periodically a random sample of 50 parts is sampled, and if 3 or more are found to be defective the
If 80% of all college students in the United States text during classes, calculate the probabilities of the following events from a random sample of 15 college students:a. exactly 9 text during
If 80% of all business airline travelers prefer to carry on baggage rather than check it, calculate the probabilities of the following events from a random sample of 25 business travelers:a. exactly
If 70% of all Millennials are currently saving for retirement, calculate the probabilities of the following events from a random sample of 15 Millennials:a. exactly 5 are saving for retirementb. more
On a busy weekend, a hotel has 20 rooms that are not occupied. Suppose that smoking is allowed in 8 of the rooms. A small tour group arrives that has four smokers and six nonsmokers. The desk clerk
The process used to make poker chips varies slightly between manufacturers. ChipLab supplies casino chips for most of the casino in the United States with a daily production of 10,000 chips. Recently
Yann Tiersen, a French musician and composer, is best known for his crisp piano ballads and accordion waltzes. He is going to have a classical concert in a grand opera house. His concert is selling
A Malaysian Volkswagen dealer has total cash rebates of up to RM150,000 per day for the new Volkswagen Passat. The manager of the dealership summarized the number of cars sold per day with their
Stafford Production, Inc., is concerned with the quality of the parts it purchases that will be used in the end items it assembles. Part number 34-78D is used in the company’s new laser printer.
Jamba Juice is a leading manufacturer and exporter of the best fruit juices across markets. They sell fresh juice in glass bottles. An earlier report shows that the bottles used by them indicate 1%

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