A process is in statistical control with x = 199 and R = 3.5. The control chart uses a sample size of n= 4. Specifications are at 200 ± 8. The quality characteristic is normally distributed....
A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the number of heartbeats after t minutes. When the data in the table are graphed, the slope of the tangent...
The following chart summarizes the selling price of homes sold last month in the Sarasota, Florida, area. a. What is the chart called? b. How many homes were sold during the last month? c. What is...
A regional beer distributor has $100,000 to spend on advertising in four markets, where each market responds differently to advertising. Based on observations of each market's response to several...
A mixture of benzene and toluene are to be separated in a flash tank. At what temperature should the tank be operated to get the highest purity toluene in the liquid phase (maximizing x T )? The...
Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in their drive-throughs. Certainly, the faster the cars get through the drive-through, the more the opportunity...
The 21st Century Studios is about to begin the production of its most important (and most expensive) movie of the year. The movies producer, Dusty Hoffmer, has decided to use PERT/CPM to help plan...
Sixty percent of U.S. adults trust national newspapers to present the news fairly and accurately. You randomly select nine U.S. adults. Find the probability that the number of U.S. adults who trust...
Cincinnati Paint Company sells quality brands of paints through hardware stores throughout the United States. The company maintains a large sales force whose job it is to call on existing customers...
An investment newsletter makes general predictions about the economy to help their clients make sound investment decisions. a) Recently they said that because the stock market had been up for the...
Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants. (a) Make a scatter plot. (b) Find the correlation coefficient and...
Consider an electronic system consisting of four components, each of which must work for the system to function. The reliability of the system can be improved by installing several parallel units in...
Organizers of an outdoor summer concert in Toronto are concerned about the weather conditions on the day of the concert. They will make a profit of $25,000 on a clear day and $10,000 on a cloudy day....
Data were collected on the typical cost of dining at American- cuisine restaurants within a 1- mile walking distance of a hotel located in a large city. The file Bundle contains the typical cost (a...
Four cargo ships will be used for shipping goods from one port to four other ports (labeled 1, 2, 3, 4). Any ship can be used for making any one of these four trips. However, because of differences...
Use Allison Shannon's bank statement and check register to reconcile her account. Allison Shannon 3 Honey Drive Dallas, TX 75372 ACCOUNT NUMBER: 76574709A STATEMENT PERIOD: 12101 12/31 STARTING...
It is important to understand the assumptions underlying the use of any quantitative analysis model. What are the assumptions and requirements for an LP model to be formulated and used?
Patrons at a local restaurant were asked to rate their recent experience at the restaurant with respect to its advertised atmosphere of upbeat, comfortable, and clean. Possible responses included...
A supermarket chain wants to know if their buy one, get one free campaign increases customer traffic enough to justify the cost of the program. For each of 10 stores they select two days at random to...
Nationally, 38% of fourth-graders cannot read an age-appropriate book. The following data show the number of children, by age, identified as learning disabled under special education. Most of these...
The number of messages sent to a computer bulletin board is a Poisson random variable with a mean of 5 messages per hour. (a) What is the probability that 5 messages are received in 1 hour? (b) What...
Medical billing errors and fraud are on the rise. According to the MBAA website, 8 out of 10 times, the medical bills that you get are not right. (Source: Accurate Medical Billing, bit.ly/1lHKIu3,...
Last year Marion Dairies decided to enter the yogurt market, and it began cautiously by producing, distributing, and marketing a single flavor - a blueberry-flavored yogurt that it calls Blugurt. The...
A lot of 140 semiconductor chips is inspected by choosing a sample of five chips. Assume 10 of the chips do not conform to customer requirements. (a) How many different samples are possible? (b) How...
On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the potholes are distributed evenly on the highway. a. Find the probability of finding fewer than two...
A physics experiment consists of recording paired data consisting of the time (seconds) elapsed since the beginning of the experiment and the distance (cm) of a robot from its point of origin. Using...
A catalog sales company promises to deliver orders placed on the Internet within 3 days. Follow-up calls to a few randomly selected customers show that a 95% confidence interval for the proportion of...
A process is in statistical control with x = 202.5 and s = 2.0. Specifications are at LSL = 196 and USL = 206. (a) Estimate the process capability with an appropriate process capability ratio. (b)...
The Classic Furniture Company is trying to determine the optimal quantities to make of six possible products: tables and chairs made of oak, cherry, and pine. The products are to be made using the...
The schedule for the Killers next year is as follows (refer to Problem 2-24): Game 1: The Machos Game 2: Mama's Boys (a) What is the probability that the Killers will win their first game? (b) What...
The Kentucky Derby is held the first Saturday in May at Churchill Downs in Louisville, Kentucky. The race track is one and one-quarter miles. The following table shows the winners since 1990, their...
Suppose that for budget planning purposes the city in Exercise 31 needs a better estimate of the mean daily income from parking fees. a) Someone suggests that the city use its data to create a 95%...
The contingency table below shows the results of a survey of online video viewing by age. Find the following probabilities or percentages: a. Probability that a viewer is aged 1834. b. Probability...
Two quality control technicians measured the surface finish of a metal part, obtaining the data in Table 4E.1. Assume that the measurements are normally distributed. (a)Test the hypothesis that the...
Suppose the standard deviation of home price losses had been $3000, as in Exercise 8? What would your conclusion be then? Exercise 8 In the previous exercise, you found a 95% confidence interval to...
In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following is a set of coded experimental data on the two...
Consider a population of 1,024 mutual funds that primarily invest in large companies. You have determined that m, the mean one- year total percentage return achieved by all the funds, is 8.20 and...
The advertising agency promoting a new product is hoping to get the best possible exposure in terms of the number of people the advertising reaches. The agency will use a two-pronged approach:...
Discuss the role of sensitivity analysis in LP. Under what circumstances is it needed, and under what conditions do you think it is not necessary?
Consider a problem with two decision variables, x1 and x2, which represent the levels of activities 1 and 2, respectively. For each variable, the permissible values are 0, 1, and 2, where the...
Use Neville's method to obtain the approximations for Lagrange interpolating polynomials of degrees one, two, and three to approximate each of the following: a. f (8.4) if f (8.1) = 16.94410, f (8.3)...
A CBS News/new York times survey found that 97% of Americans believe that texting while driving should be outlawed (CBS News website, January 5, 2015). a. For a sample of 10 Americans, what is the...
A study conducted by the nationally known Taurus Health Club revealed that 30% of its new members are 15 pounds overweight. A membership drive in a metropolitan area resulted in 500 new members. a....
An economist wants to determine the relation between ones FICO score, x, and the interest rate of a 36-month auto loan, y. The given data represent the interest rate (in percent) a bank would offer...
Listed below are the measured radiation emissions (in W/kg) corresponding to these cell phones: Samsung SGH-tss9, Blackberry Storm, Blackberry Curve, Motorola Moto, T-Mobile Sidekick, Sanyo Katana...
Refer to the Bhavika Investments (Problem 7-37) situation once again. It has been decided that, rather than minimize risk, the objective should be to maximize return while placing restriction on the...
A distributor imports olive oil from Spain and Italy in large casks. He then mixes these oils in different proportions to create three grades of olive oil that are sold domestically in the United...
Consider the following all-integer linear program: Max 1x1 + 1x2 s.t. 4x1 + 6x2 22 1x1 + 5x2 15 2x1 + 1x2 9 x1, x2 0 and integer a. Graph the constraints for this problem. Use dots to indicate...
Terry Martinez is considering taking out a loan to purchase a desk. The furniture store manager rarely finances purchases, but will for Terry as a special favor. The rate will be 10% per year, and...
Let X be normally distributed with mean = 2.5 and standard deviation = 2> a. Find P(X>7.6)> b. Find P(7.4 X 10.6)> c. Find x such that P(X>x) = 0.025> d. Find x such that P(x X 2.5) = 0.4943>
In 1994, major league baseball players went on strike. At the time, the average salary was $1,049,589, and the median salary was $337,500. If you were representing the owners, which summary would you...
Listed below are the numbers of manatee deaths caused each year by collisions with watercraft. Manatees, also called sea cows, are large mammals that live underwater, often in or near waterways. The...
PharmaPlus operates a chain of 30 pharmacies. The pharmacies are staffed by licensed pharmacists and pharmacy technicians. The company currently employs 85 full-time equivalent pharmacists...
Let X be normally distributed with mean = 2500 and standard deviation = 800> a. Find x such that P(X x) = 0.9382> b. Find x such that P(X>x) = 0.025> c. Find x such that P (2500 X x) = 0.1217>...
Three events occur with probabilities P(E1) = 0.35, P(E2) = 0.15, P (E3) = 0.40. If the event B occurs, the probability becomes P(E1 | B) = 0.25, P (B) = 0.30. a. Calculate P (E1 and B) b. Compute P...
In Chapter 6, Exercise 41 we examined the relationship between the fuel economy (mpg) and Engine Size for 35 models of cars (Data in Fuel Economy 2014). Further analysis produces the regression model...
The Wind Mountain excavation site in New Mexico is an important archaeological location of the ancient Native American Anasazi culture. The following data represent depths (in cm) below surface grade...
Armstrong Faber produces a standard number-two pencil called Ultra-Lite. Since Chuck Armstrong started Armstrong Faber, sales have grown steadily. With the increase in the price of wood products,...
The following data represent tonnes of wheat harvested each year (18941925) from Plot 19 at the Rothamsted Agricultural Experiment Station, England. (a) Multiply each data value by 100 to clear the...
A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to be selected by a consumer as any other design, what selection...
If the Albany highway system described in Problem 29 has revised flow capacities as shown in the following network, what is the maximal flow in vehicles per hour through the system? How many vehicles...
1. The appropriate null hypothesis for testing the profitability of the new design sets 0 = +80. 2. The appropriate null hypothesis for testing the profitability of the new design is H0: 0. 3. If...
Since the fall of 2008, millions of Americans have lost jobs due to the economic meltdown. A recent study shows that unemployment has not impacted white-collar and blue-collar workers equally...
Suppose that 10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition. Of four volunteer participants in a health screening study, what is...
In 2011, home prices and mortgage rates dropped so low that in a number of cities the monthly cost of owning a home was less than renting. The following data show the average asking rent for 10...
The quality control department examines all the products returned to a store by customers. An examination of the returned products yields the following assessment: 5% are defective and not...
Edward Owen is responsible for the maintenance, rental, and day-to-day operation of several large apartment complexes on the upper-east side of New York City. Owen is especially concerned about the...
As part of a study designed to compare hybrid and similarly equipped conventional vehicles, Consumer Reports tested a variety of classes of hybrid and all-gas model cars and sport utility vehicles...
Suppose the velocity of a gas molecule of mass m is a random variable with pdf fY(y) = ay2eby2, y 0, where a and b are positive constants depending on the gas. Find the pdf of the kinetic energy, W...
Davison Electronics manufactures two LCD television monitors, identified as model A and model B. Each model has its lowest possible production cost when produced on Davisons new production line....
Determine the number of terms necessary to approximate cos x to 8 significant figure using the Maclaurin series approximation Calculate the approximation using a value of x = 0.3?. Write a program to...
Use forward and backward difference approximations of O(h) and a centered differences approximation of O(h2) to estimate the first derivative of the function examined in Prob. 4.4.Evaluate the...
Consider the following hypotheses: H0: = 1800 HA: 1800 The population is normally distributed with a population standard deviation of 440. Compute the value of the test statistic and the resulting...
A humor piece published in the British Medical Journal ("Parachute use to prevent death and major trauma related to gravitational challenge: Systematic review of randomized control trials," Gordon,...
A manager of an inventory system believes that inventory models are important decision-making aids. Even though often using an EOQ policy, the manager never considered a backorder model because of...
The tax situation for houses with rentals is a bit more complicated than we presented in the chapter. On one hand, Sanjay and Sarah must pay taxes on any rental income, which will increase their...
A 2010 study conducted by the National Center for Health Statistics found that 25% of U.S. households had no landline service. This raises concerns about the accuracy of certain surveys, as they...
The following crosstabulation shows household income by educational level of the head of household Statistical Abstract of the United States, 2008). a. Develop a joint probability table. b. What is...
Andy, Bob, and Charley have all been serving time for grand theft auto. According to prison scuttlebutt, the warden plans to release two of the three next week. They all have identical records, so...
An experiment was conducted to determine if the weight of an animal can be predicted after a given period of time on the basis of the initial weight of the animal and the amount of feed that was...
Nikes annual report says that the average American buys 6.5 pairs of sports shoes per year. Suppose the population standard deviation is 2.1 and that a sample of 81 customers will be examined next...
a. Suppose that $68,000 is to be allocated for advertising, research, and investment in the ratio 8:6:3. How much money will be allocated for each b. Computer Warehouse sells batteries ($2) and small...
Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their velocity functions. (a) Which car is ahead after one minute? Explain. (b) What is the meaning of...
An electronics manufacturer has an option to produce six styles of cell phones. Each of these devices requires time, in minutes, on three types of electronic testing equipment, as shown in the table...
The target population is all students in your university. You wish to estimate the average current Visa balance for each student. How large would the university student population have to be in order...
Compute the standard error of the estimate for Exercise 13 in Section 101. The regression line equation was found in Exercise 13 in Section 102. The yearly data have been published showing the number...
The probability is 0.6 that a calibration of a transducer in an electronic instrument conforms to specifications for the measurement system. Assume the calibration attempts are independent. What is...
Room and board costs for selected schools are summarized in this distribution. Find the approximate cost of room and board corresponding to each of the following percentiles. Costs (in dollars)...
1. Develop a graph or table that portrays the checking balances. What is the balance of a typical customer? Do many customers have more than $2,000 in their ac-counts? Does it appear that there is a...
Scores on a marketing exam are known to be normally distributed with mean and standard deviation of 60 and 20, respectively. a. Find the probability that a randomly selected student scores between 50...
A ski gondola in Vail, Colorado, carries skiers to the top of a mountain. It bears a plaque stating that the maximum capacity is 12 people or 2004 lb. That capacity will be exceeded if 12 people have...
The quality-control manager of a Long John Silvers restaurant wishes to analyze the length of time that a car spends at the drive-through window waiting for an order. According to records obtained...
A charity organization is selling $5 raffle tickets as part of a fund-raising program. The first prize is a trip to Mexico valued at $3450, and the second prize is a weekend spa package valued at...
The following estimates of activity times (in days) are available for a small project: a. Compute the expected activity completion times and the variance for each activity. b. An analyst determined...
The graph shows ages of females (labeled 1) and males (labeled 0) who are majoring in psychology in a four year college. a. Is this a histogram or a bar graph? How do you know? b. What type(s) of...
The number of total vetoes exercised by the past 20 Presidents is listed below. Use the data to construct a grouped frequency distribution and a cumulative frequency distribution with 5 classes. What...
The Bank of Elkins is allocating a maximum of $200,000 for personal and car loans during the next month. The bank charges 14% for personal loans and 12% for car loans. Both types of loans are repaid...
Starbucks is a resounding restaurant success story. Beginning with its first coffee house in 1971, Starbucks has grown to more than 11,000 U.S. locations. Opening up its first international outlet in...
Use the data in KIELMC.RAW, only for the year 1981, to answer the following questions. The data are for houses that sold during 1981 in North Andover, Massachusetts: 1981 was the year construction...
Construct a frequency distribution of the 20 brain volumes (cm3) listed below. (These volumes are from Data Set 6 of Appendix B.) Use the classes 900999, 10001099, and so on. 1005 963 1035 1027 1281...