1. Each day, at 25 random times, the upload speed is measured. Assuming that the distribution has not changed from what it was in the past year, what is the probability that the mean upload speed is...
A family special at a neighborhood restaurant offers dinner for four for $39.99. There are 3 appetizers available, 4 entrees, and 3 desserts from which to choose. The special includes one of each....
Consider the following problem. Minimize Z = 2x1 +3x2 + x3, Subject to and x1 0, x2 0, x3 0. (a) Reformulate this problem to fit our standard form for a linear programming model presented in Sec....
The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following...
According to the 2010 Census, 16% of the people in the United States are of Hispanic or Latino origin. One county supervisor believes her county has a different proportion of Hispanic people than the...
Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as...
Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle (based on a...
Trapeze Investments is a venture capital firm that is currently evaluating six different investment opportunities. There is not sufficient capital to invest in all of these, but more than one will be...
A food company produces tomato sauce at five different plants. The tomato sauce is then shipped to one of three warehouses, where it is stored until it is shipped to one of the companys four...
Weights of respondents were recorded as part of the California Health Interview Survey. The last digits of weights from 50 randomly selected respondents are listed below. Construct frequency...
According to the Internal Revenue Service, the average income tax refund for the 2011 tax year was $ 2,913. Assume the refund per person follows the normal probability distribution with a standard...
Bessel Function J0, xy'' + y' + xy = 0, y(1) = 0.765198 , y' (1) = 0.440051, h = 0.5, 5 steps, (this igives the standard solution J0(x) in Fig. 107 in Sec. 5.5)
Listed below are the arrival delay times (in minutes) of randomly selected American Airline flights from New Yorks JFK airport to Los Angeles (LAX). Negative values correspond to flights that arrived...
A company receives a very large shipment of components. A random sample of 16 of these components will be checked, and the shipment will be accepted if fewer than 2 of these components are defective....
Assume the cost of an extended 100,000 mile warranty for a particular SUV follows the normal distribution with a mean of $ 1,600 and a standard deviation of $ 75. a. Determine the interval of...
Refer to the Scheer Industries example in Section 8.2. Use 6.84 days as a planning value for the population standard deviation. a. Assuming 95% confidence, what sample size would be required to...
The number of service calls received at LaFortune Electric during four months is shown in the following table: Month Number of Service Calls April.19 May..31 June..27 July..29 Forecast the number of...
Crowd Management Strategies monitors accidents at rock concerts. In their database, they list the names and other variables of victims whose deaths were attributed to "crowd crush" at rock concerts....
Thompson Photo Works purchased several new, highly sophisticated processing machines. The production department needed some guidance with respect to qualifications needed by an operator. Is age a...
A recent study of IRS audits showed that, for estates worth less than $5 million, about 1 out of 7 of all estate tax returns are audited, but that probability increases to 50% for estates worth over...
Two thousand randomly selected adults were asked if they think they are financially better off than their parents. The following table gives the two-way classification of the responses based on the...
Table 4E.11 contains the data from a patient satisfaction survey for a group of 25 randomly selected patients at a hospital. In addition to satisfaction, data were collected on patient age and an...
The accompanying table gives the dry weights (Y) of 11 chick embryos ranging in age from 6 to 16 days (X). Also given in the table are the values of the common logarithms of the weights (Z). a....
Ruth Jones, a robust 50-year-old insurance adjuster living in the northern suburbs of Chicago, has been diagnosed by a University of Illinois cardiologist as having a defective heart valve. Although...
1. Develop numerical and graphical summaries of the data. 2. Use regression analysis to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age...
Nassau County is located approximately 25 miles east of New York City. The data organized and stored in Glen Cove include the fair market value (in $ thousands), land area of the property in acres,...
Offhaus Manufacturing produces office supplies but outsources the delivery of its products to third-party carriers. Offhaus ships to 20 cities from its Dayton, Ohio, manufacturing facility and has...
The lifetime of a mechanical assembly in a vibration test is exponentially distributed with a mean of 400 hours. (a) What is the probability that an assembly on test fails in less than 100 hours? (b)...
Let three random samples of sizes n1 = 20, n2 = 10, and n3 = 8 be taken from a population with mean and variance 2. Let S2/1, S2/2, and S2/3 be the sample variances. Show that S2 = (20S2/1 + 10S2/2 +...
An experiment with artillery shells yields the following data on the characteristics of lateral deflections and ranges. Would you conclude that deflection and range are independent? Use a = 0.05....
The Maclaurin series expansion for cos x is Starting with the simplest version, cos x = 1, add terms one at a time to estimate cos (?/3). After each new term is added, compute the-true and...
Acceptance sampling is an important quality control technique, where a batch of data is tested to determine if the proportion of units having a particular attribute exceeds a given percentage....
A polygraph (lie detector) is an instrument used to determine if the individual is telling the truth. These tests are considered to be 95% reliable. In other words, if an individual lies, there is a...
Components used in a cellular telephone are manufactured with nominal dimension of 0.3 mm and lower and upper specification limits of 0.295 mm and 0.305 mm respectively. The x and R control charts...
A door-to-door encyclopedia salesperson is required to document five in-home visits each day. Suppose that she has a 30% chance of being invited into any given home, with each address representing an...
Bismarck Manufacturing intends to increase capacity through the addition of new equipment. Two vendors have presented proposals. The fixed cost for proposal A is $65,000, and for proposal B, $34,000....
A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation = 20. (a) Find a 95% CI for when n = 10...
An article in Quality Progress describes the use of factorial experiments to improve a silver powder production process. This product is used in conductive pastes to manufacture a wide variety of...
Air pollution control specialists in southern California monitor the amount of ozone, carbon dioxide, and nitrogen dioxide in the air on an hourly basis. The hourly time series data exhibit...
An article in the Materials Research Bulletin (Vol. 26, No. 11, 1991) investigated four different methods of preparing the superconducting compound PbMo6S8. The authors contend that the presence of...
According to an IRS study, it takes a mean of 330 minutes for taxpayers to prepare, copy, and electronically file a 1040 tax form. This distribution of times follows the normal distribution and the...
In a large department store a customer-complaints office handles an average of six complaints per hour about the quality of service. The distribution is Poisson. a. What is the probability that in...
The following table, stored in Smartphone Sales, represents the annual market share of smartphones, by type, for the years 2011, 2012, and 2013. a. What conclusions can you reach about the market for...
In the simple regression model (5.16), under the first four Gauss-Markov assumptions, we showed that estimators of the form (5.17) are consistent for the slope, (1 Given such an estimator, define an...
a. Find the probability of getting exactly 1 sleepwalker among 5 adults. b. Find the probability of getting 1 or fewer sleepwalkers among 5 adults. c. Which probability is relevant for determining...
Executive compensation has risen dramatically beyond the rising levels of an average workers wage over the years. This has been a hot topic for discussion, especially with the crisis in the financial...
An Adweek Media/Harris Poll revealed that 44% of U.S. adults in the 1834 years category think that Made in America ads boost sales. A different Harris Interactive poll showed that 78% of U.S. adults...
The characteristics of an industrial filling process in which an expensive liquid is injected into a container were investigated in the Journal of Quality Technology (July 1999). The quantity...
Six jurors are to be selected from a pool of 20 potential candidates to hear a civil case involving a lawsuit between two families. Unknown to the judge or any of the attorneys, 4 of the 20...
The life in hours of a battery is known to be approximately normally distributed, with standard deviation = 1.25 hours. A random sample of 10 batteries has a mean life of hours. (a) Is there evidence...
Write equations for the darkened nodes in the grid in Figure. Note that all units are cgs. The coefficient of thermal conductivity for the plate is 0.75 cal/(s cm C), the convection coefficient is...
B. Ciochetti et al. studied mortgage loans in the article "A Proportional Hazards Model of Commercial Mortgage Default with Originator Bias" (Journal of Real Estate and Economics, Vol. 27, No. 1, pp....
Young Adult magazine states the following hypotheses about the mean age of its subscribers. H0: = 28 Ha: 28 a. What would it mean to make a Type II error in this situation? b. The population...
In the previous problem we noted that the differences in cognitive skills tend to be bigger among older people than among younger people. These differences are often called diversity. Similarly, the...
A savings and loan averages about $100,000 in deposits per week. However, because of the way pay periods fall, seasonality, and erratic fluctuations in the local economy, deposits are subject to a...
A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its 33 employees with a cell phone, find the probability...
The dean of students wants to see whether there is a significant difference in ages of resident students and commuting students. She selects a sample of 50 students from each group. The ages are...
The number of unclaimed expired prizes (in millions of dollars) for lottery tickets bought in a sample of states as shown. Construct a frequency distribution for the data using 5 classes. (The data...
A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 25 blue crabs from Location...
Two balls are thrown upward from the edge of the cliff in Example 8. The first is thrown with a speed of 48ft/s and the other is thrown a second later with a speed of 24ft/s. Do the balls ever pass...
Asian residents in Boston have the highest average life expectancy of any racial or ethnic groupa decade longer than black residents (Boston Globe, August 16, 2010). Suppose sample results indicative...
The Gallup Organization regularly surveys adult Americans regarding their commute time to work. In addition, they administer a Well-Being Survey. According to the Gallup Organization, The...
A sociologist randomly selects single adults for different groups of four, and the random variable x is the number in the group who say that the most fun way to flirt is in person (based on a...
Kelly Spaugh, course scheduler of a technical colleges business department, needs to assign instructors to courses next semester. As a criterion for judging who should teach each course, Kelly...
Find the Eigen values and Eigen vectors of the so-called Pauli spin matrices and show that SxSy = iSz, SySx = ?? iSz, Sx2 = Sy2 = Sz2 =I, Sx - [ ] [ ] S $-[-] = Lo S
Using MAD, determine whether the forecast in Problem 5-13 or the forecast in the section concerning Wallace Garden Supply is more accurate.
The Department of Transportation (DOT) fields thousands of complaints about airlines each year. The DOT categorizes and tallies complaints, and then periodically publishes rankings of airline...
Results of a 2013 Adobe Systems study on retail apps and buying habits reveals insights on perceptions and attitudes toward mobile shopping using retail apps and browsers, providing new direction for...
Suppose that you are an inspector for the Fish and Game Department and that you are given the task of determining whether to prohibit fishing along part of the Oregon coast. You will close an area to...
Par, Inc., is a major manufacturer of golf equipment. Management believes that Par's market share could be increased with the introduction of a cut-resistant, longer-lasting golf ball. Therefore, the...
Answer true or false to the following statements: 1. Hypothetical reasoning is useful when the evidence by itself does not provide the solution to the problem. 2. Hypotheses are derived directly from...
The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 49...
Harry Daniels is a quality control engineer for the Specific Electric Corporation. Specific manufactures electric motors. One of the steps in the manufacturing process involves the use of an...
A circuit system is given in Figure. Assume the components fail independently.(a) What is the probability that the entire system works?(b) Given that the system works, what is the probability that...
a. Eye colors of humans on commercial aircraft flights b. Weights of humans on commercial aircraft flights c. Numbers of passengers on commercial aircraft flights d. Numbers of randomly generated...
Highway Speefs Listed below are speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, California (based on data from Sig Alert). This simple random sample was obtained at 3:30 p.m....
Recall the experiment described in Review Question 16.11 on page 314, where errors on a driving simulator were obtained for subjects whose orange juice had been laced with controlled amounts of...
Each year, Fortune Magazine publishes an article titled "The International 500" that provides a ranking by sales of the top 500 firms outside the United States. Suppose that you want to examine...
A company that has a large number of supermarket grocery stores claims that customers who pay by personal checks spend an average of $87 on groceries at these stores with a standard deviation of $22....
How large a sample size do we need to estimate the mean annual income of Native Americans in Onondaga County, New York, correct to within $1000 with probability 0.99? No information is available to...
In a manufacturing process the assembly line speed (feet per minute) was thought to affect the number of defective parts found during the inspection process. To test this theory, managers devised a...
In an analysis of daily soil evaporation (EVAP), Freund (1979) identified the following predictor variables: MAXAT = Maximum daily air temperature MINAT = Minimum daily air temperature AVAT =...
The newborn grandson of one of the authors was 48 cm long and weighed 3 kg. According to the regression model of Exercise 3, what was his residual? What does that say about him? Exercise 3 A least...
A soft-drink machine is being regulated so that the amount of drink dispensed averages 240 milliliters with a standard deviation of 15 milliliters. Periodically, the machine is checked by taking a...
The time between breakdowns of aging machines is known to be exponentially distributed with a mean of 25 hours. The machine has just been repaired. Determine the probability that the next breakdown...
The Killington Market chain uses this acceptance sampling plan for large shipments of packages of its generic chocolate chip cookies: Randomly select 30 packages and determine whether each is within...
The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.60 entrees per order. On a particular Saturday afternoon, a random sample of 40...
A company purchases a small metal bracket in containers of 5,000 each. Ten containers have arrived at the unloading facility, and 250 brackets are selected at random from each container. The fraction...
The management of the Albert Hanson Company is trying to determine the best product mix for two new products. Because these products would share the same production facilities, the total number of...
In our example of the free-falling parachutist, we assumed that the acceleration due to gravity was a constant value of 9.8 m/s 2 . Although this is a decent approximation when we are examining...
In 2011, New York City had a total of 11,232 motor vehicle accidents that occurred on Monday through Friday between the hours of 3 p.m. and 6 p.m. (New York State Department of Motor Vehicles...
A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these homes are usually left unlocked, what is the probability that the real...
A recent study found that consumers are making average monthly debt payments of $983 (Experian.com, November 11, 2010). The accompanying table shows a portion of average debt payments for 26...
A recent article reported that there are approximately 11 minutes of actual playing time in a typical National Football League (NFL) game (The Wall Street Journal, January 15, 2010). The article...
In placebo-controlled clinical trials for the drug Viagra, 734 subjects received Viagra and 725 subjects received a placebo (subjects did not know which treatment they received). The table in the...
An analyst claims that the mean annual salary for advertising account executives in Denver, Colorado, is more than the national mean, $67,800. The annual salaries (in dollars) for a random sample of...
The logistic model is used to simulate population as in dp / dt = k gm (1 p / p max ) p Where p = population, k gm = the maximum growth rate under unlimited conditions, and p max = the carrying...
Consider the following mixed-integer linear program: Max 2x1 + 3x2 s.t. 4x1 + 9x2 36 7x1 + 5x2 35 x1, x2 0 and x1 integer a. Graph the constraints for this problem. Indicate on your graph all...
College softball programs have a limited number of scholarships to offer promising high school seniors, so the programs invest a great deal of effort in evaluating these players. One measure of...
Researchers wondered whether the size of a persons brain was related to the individuals mental capacity. They selected a sample of right-handed introductory psychology students who had SAT scores...