The table gives estimates of the world population, in millions, from 1750 to 2000: (a) Use the exponential model and the population figures for 1750 and 1800 to predict the world population in 1900...
A number of matrices are defined as Answer the following questions regarding these matrices;(a) What are the dimensions of the matrices?(b) Identify the square, column, and row matrices.(c) What are...
A car manufacturer is trying to develop a new sports car. Engineers are hoping that the average amount of time that the car takes to go from 0 to 60 miles per hour is below 6 seconds. The car company...
In exercise 7, the data on y = annual sales ($1,000s) for new customer accounts and x = number of years of experience for a sample of 10 salespersons provided the estimated regression equation y = 80...
When you purchase a car, you may consider buying a brand-new car or a used one. A fundamental trade-off in this case is whether you pay repair bills (uncertain at the time you buy the car) or make...
ChemLabs uses raw materials I and II to produce two domestic cleaning solutions, A and B. The daily availabilities of raw materials I and II are 150 and 145 units, respectively. One unit of solution...
Maggie Stewart loves desserts, but due to weight and cholesterol concerns, she has decided that she must plan her desserts carefully. There are two possible desserts she is considering: snack bars...
A customer service center in India receives, on average, 4.2 telephone calls per minute. If the distribution of calls is Poisson, what is the probability of receiving at least 3 calls during a...
An insurance company holds fraud insurance policies on 6,000 firms. In any given year the probability that any single policy will result in a claim is 0.001. Find the probability that at least 3...
Reconsider the Profit & Gambit Co. problem described in Section 2.6. Suppose that the estimated data given in Table 2.2 now have been changed as shown in the table that accompanies this problem....
An overseas shipment of 5 foreign automobiles contains 2 that have slight paint blemishes. If an agency receives 3 of these automobiles at random, list the elements of the sample space S using the...
A regression model relating x, number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars), provided the following computer output from a regression analysis...
The following data represent the number of speeding tickets issued to individuals in the past year and the gender of the individuals. Determine the following probabilities based on the results of the...
A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 55 nonprofits, the mean one- time gift do-nation in the past year was $...
Consider the product mix problem described in Prob. 3.1-11. Suppose that this manufacturing firm actually encounters price elasticity in selling the three products, so that the profits would be...
The histogram in Figure 3.12 depicts cotinine levels (in milligrams per milliliter) of a sample of subjects who smoke cigarettes. Cotinine is a metabolite of nicotine, which means that cotinine is...
The Tennessean, an online newspaper located in Nashville, Tennessee, conducts a daily poll to obtain reader opinions on a variety of current issues. In a recent poll, 762 readers responded to the...
A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and a standard deviation of 8. A second random sample of size n2 = 9 is taken from another normal population...
1. Use descriptive statistics to summarize the data. 2. Develop a 95% confidence interval estimate of the mean annual salary for all sales-persons, regardless of years of experience and type of...
Figure 2.5 gives a percentage pie chart of new vehicle market shares in the U. S. for 2010 as given by GoodCarBadCar.net. Use this pie chart and your results from Exercise 2.9 to write an analysis...
Integration by parts is required. The probability density function for the diameter of a drilled hole in millimeters is for mm. Although the target diameter is 5 millimeters, vibrations, tool wear,...
Jason leaves Detroit at 2:00 P.M. and drives at a constant speed west along I-96. He passes Ann Arbor, 40 mi from Detroit, at 2:50 P.M. (a) Express the distance traveled in terms of the time elapsed....
The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from...
The Mars candy company claims 13% of its M&M candies are brown, but Data Set 20 in Appendix B lists data from 100 M&Ms, and 8% of them are brown. Use the sample data to construct a 98% confidence...
1. Develop a model that will allow Applecore to maximize the number of customers reached for a budget of $10,000 for one week of promotion. 2. Solve the model. What is the maximum number of customers...
The American Red Cross must track their supply and demand for various blood types. They estimate that about 45% of the U.S. population has Type O blood, 40% Type A, 11 % Type B, and the rest Type AB-...
A paired difference experiment produced the following results: nd = 38 1 = 92 2 = 95.5 = -3.5 s2d = 21 a. Determine the values of z for which the null hypothesis, 1 - 2 < 0, would be rejected in...
Use a worksheet to simulate the rolling of dice. Use the VLOOKUP function as described in Appendix 16.1 to select the outcome for each die. Place the number for the first die in column B and the...
As part of a study of corporate employees, the director of human resources for PNC Inc. wants to compare the distance traveled to work by employees at its office in downtown Cincinnati with the...
The following ogive summarizes the median household income for the 50 states in the United States (U.S. Census, 2010). a. Approximate the percentage of states with median household income less than...
Rates on 30-year fixed mortgages continue to be at historiclows (Chron Business News, September 23, 2010). According to Freddie Mac, the average rate for 30-year fixed loans for the week was 4.37%....
According to a report by The Kauffman Foundation and Legal Zoom, 35% of new businesses in 2013 were started by women and 65% of new businesses in 2013 were started by men. Twenty percent of 2013 new...
In the hospital study cited in Exercise 19, the mean noise level in the 171 ward areas was 58.0 decibels, and the population standard deviation is 4.8. Find the 90% confidence interval of the true...
Let f(x) = 1/2, 0 < x < 1 or 2 < x < 3, zero elsewhere, be the pdf of X. (a) Define the cdf of X and sketch its graph. (b) Find q1 = 0.25. (c) Find m = 0.50. Is it unique? (d) Find q3 = 0.75.
(a) Show that the sample variance is unchanged if a constant c is added to or subtracted from each value in the sample. (b) Show that the sample variance becomes c2 times its original value if each...
The fraction nonconforming control chart in Exercise 7.3 has an LCL of zero. Assume that the revised control chart in part (b) of that exercise has a reliable estimate of the process fraction...
The following data represent the final grades obtained by 5 students in mathematics, English, French, and biology. Test the hypothesis that the courses are of equal difficulty. Use a P-value in your...
Residents of neighboring towns in a state in the United States have an ongoing disagreement over who lays claim to the higher average price of a single-family home. Since you live in one of these...
Identify the basic elements of a real-estate investors decision situation. What are the investors objectives? Is the situation dynamic, that is, are there sequential decisions? What are some of the...
Cindy Jefferson, hospital administrator at Anderson Hospital must appoint head nurses to four newly established departments: urology, cardiology, orthopedics, and pediatrics. Believing in the...
A multiple regression model was used to relate y = viscosity of a chemical product to x1 = temperature and x2 = reaction time. The data set consisted of n = 15 observations. (a) The estimated...
The availability of venture capital provided a big boost in funds available to companies in recent years. According to Venture Economics (Investors Business Daily, April 28, 2000), 2374 venture...
You are planning a trip to a water park tomorrow. The weather forecaster says there is a 70% chance of rain tomorrow. Explain what this result means.
Some investors use the Sharpe ratio as a way of comparing the benefits of owning shares of stock in a company to the risks. The Sharpe ratio of a stock is defined as the ratio of the difference...
An article in the Journal of Agricultural Engineering Research (Vol. 52, 1992, pp. 5376) describes an experiment to investigate the effect of drying temperature of wheat grain on the baking quality...
A woman at a point A on the shore of a circular lake with radius 2 mi wants to arrive at the point C diametrically opposite on the other side of the lake in the shortest possible A time. She can walk...
Use the (a) Euler and (b) Heun (without iteration) methods to solve d2y/dt2 0.5t + y = 0 where y(0) = 2 and y(0) = 0. Solve from x = 0 to 4 using h = 0.1. Compare the methods by plotting the...
The weights (lb) of discarded plastic from a sample of households is listed in Data Set 23 in Appendix B, and the summary statistics are n = 62, f = 1.911 lb, and s = 1.065 lb. Use a 0.05...
As the new manager of a small convenience store, you want to understand the shopping patterns of your customers. You randomly sample 20 purchases from yesterdays records (all purchases in U.S....
A hospital in a large city plans to build two satellite trauma centers to provide improved emergency service to areas, such as highways and high-crime districts, that have historically demonstrated...
Below we give the average hourly outdoor temperature (x) in a city during a week and the city's natural gas consumption (y) during the week for each of eight weeks (the temperature readings are...
1. Consider the following raw data, which is the result of selecting a random sample of 20 condominium sales in a particular development. The sale prices are given in thousands of dollars ($1,000s)....
Apple products have become a household name in America with 51% of all households owning at least one Apple product (CNN, March 19, 2012). a. What is the probability that two in a random sample of...
The file P09_01.xlsx contains a random sample of 100 light bulb lifetimes. The company that produces these light bulbs wants to know whether it can claim that its light bulbs typically last more than...
In an attempt to decrease drunk driving, police set up vehicle checkpoints during the July 4 evening. The police randomly select vehicles to be stopped for informational checks. On a particular...
A friend of yours can invest in a multiyear project. The cost is $14,000.Annual cash flows are estimated to be $5,000 per year for six years but could vary between $2,500 and $7,000. Your friend...
The following table shows the number of active military personnel in 2009, by region (including the District of Columbia). a. Calculate the mean and standard deviation for the population. b. Now take...
An article in Agricultural Engineering (December 1964, pp. 672673) describes an experiment in which the daily weight gain of swine is evaluated at different levels of housing temperature. The mean...
An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities. P(high-quality oil) = 0.50 P(medium-quality oil) = 0.20 P(no oil) = 0.30...
A random sample of 250 juniors majoring in psychology or communication at a large university is selected. These students are asked whether or not they are happy with their majors. The following table...
A retail outlet sells a seasonal product for $10 per unit. The cost of the product is $8 per unit. All units not sold during the regular season are sold for half the retail price in an end-of-season...
The Southeastern Division of LaPlace Power and Light Company is responsible for providing dependable electric service to customers in and around the areas of Metairie, Kenner, Destreban, LaPlace,...
Find the mean and standard deviation for the random variable x. Use the range rule of thumb to identify the range of usual values for the number of males with tinnitus among four randomly selected...
The yield on a general obligation bond for the city of Davenport fluctuates with the market. The monthly quotations for 2006 are given in Table P-9. Table P-9 MonthYield January ............. 9.29...
A Washington, D.C., think tank announces the typical teenager sent 50 text messages per day in 2013. To update that estimate, you phone a sample of 12 teenagers and ask them how many text messages...
The Institute for Higher Education Policy, a Washington, D.C.-based research firm, studied the payback of student loans for 1.8 million college students who had student loans that began to become due...
Philanthropic organizations, such as the Gates Foundation, care about the return on their investment, too. For example, if a foundation spends $7,000 for preschool education of children who are at...
Nylon bars were tested for brittleness. Each of 280 bars was molded under similar conditions and was tested by placing a fixed stress at specified locations on the bar. Assuming that each bar has...
This question refers to Problem 17. Compute the first differences of the quarterly loan data for Dominion Bank. a. Compute the autocorrelation coefficient for time lag 1 using the differenced data....
The probability that a lab specimen contains high levels of contamination is 0.10. Five samples are checked, and the samples are independent. (a) What is the probability that none contains high...
Shaq Bryant sells newspapers on Sunday mornings in an area surrounded by three busy churches. Assume that Shaqs demand can either be for 100, 300, or 500 newspapers, depending on traffic and weather....
A melting point test of n = 10 samples of a binder used in manufacturing a rocket propellant resulted in Assume that melting point is normally distributed with . (a) Test H0: = 155 versus H0:...
It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed. The demand for number 6 screws is fairly constant, and on the average, Lila has...
Refer to the description of Century National Bank at the end of the Review of Chapters 14 on page 125. When Mr. Selig took over as president of Century several years ago, the use of debit cards was...
The Porsche Club of America sponsors driver education events that provide high-performance driving instruction on actual race tracks. Because safety is a primary consideration at such events, many...
Using the data in Problem 5-33, develop a multiple regression model to predict sales (both trend and seasonal components), using dummy variables to incorporate the seasonal factor into the model. In...
Assume the annual mean return on ABC stock is around 15% and the annual standard deviation is around 25%. Assume the annual and daily returns on ABC stock are normally distributed. a. What is the...
The following frequency histogram represents the IQ scores of a random sample of seventh-grade students. IQs are measured to the nearest whole number. The frequency of each class is labeled above...
a. If 1 adult female is randomly selected, find the probability that her overhead reach is greater than 218.4 cm. b. If 9 adult females are randomly selected, find the probability that they have a...
An agent claims that there is no difference between the pay of safeties and linebackers in the NFL. A survey of 15 safeties found an average salary of $501,580, and a survey of 15 linebackers found...
Weinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while studying new material had better scores when tested on the material compared to students...
The Men's Giant Slalom skiing event consists of two runs whose times are added together for a final score. Two displays of the giant slalom times in the 2010 Winter Olympics are shown below. a) What...
Consider the following all-integer linear program: Max 5x1 + 8x2 s.t. 6x1 + 5x2 30 9x1 + 4x2 36 1 x1 + 2 x2 10 x1, x2 0 and integer a. Graph the constraints for this problem. Use dots to indicate...
The following are the activity times for the project in Problem 12-14. Find the earliest, latest, and slack times for each activity. Then find the critical path. ACTIVITY TIME (DAYS) A .......... 3 B...
Ralph Janaro simply does not have time to analyze all of the items in his company's inventory. As a young manager, he has more important things to do. The following is a table of six items in...
Match the coefï¬cient of determination to the scatter diagram. The scales on the horizontal and vertical axis are the same for each scatter diagram. (a) R2 = 0.58 (b) R2 = 0.90 (c) R2 = 1...
The average age of Senators in the 108th Congress was 59.5 years. If the standard deviation was 11.5 years, find the z scores corresponding to the oldest and youngest Senators: Robert C. Byrd (D,...
A jet fighters position on an aircraft carriers runway was timed during landing: where x is the distance from the and of the carrier. Estimate (a) Velocity (dx/dt) and (b) Acceleration (d/dt) using...
The Daugherty Porta-Vac project discussed in Section 13.2 has an expected project completion time of 17 weeks. The probability that the project could be completed in 20 weeks or less is 0.9656. The...
A recent issue of the AARP Bulletin reported that the average weekly pay for a woman with a high school degree is $520 (AARP Bulletin, JanuaryFebruary, 2010). Suppose you would like to determine if...
According to the National Vital Statistics Report, 20.1% of all pregnancies result in weight gain in excess of 40 pounds (for singleton births). In addition, 49.5% of all pregnancies result in the...
Construct measures of political participation at the nominal, ordinal, and interval-ratio levels. Discuss the advantages and disadvantages of each.
An urban economist wishes to estimate the proportion of Americans who own their homes. What size sample should be obtained if he wishes the estimate to be within 0.02 with 90% condence if (a) he uses...
Southwest Co-op produces bags of fertilizer, and it is concerned about impurity content. It is believed that the weights of impurities per bag are normally distributed with a mean of 12.2 grams and a...
An important unit consists of two components placed in parallel. The unit performs satisfactorily if one of the two components is operating. Therefore, only one component is operated at a time, but...
The number of workmanship nonconformities observed in the final inspection of disk-drive assemblies has been tabulated as shown in Table 7E.17. Does the process appear to be in control? TABLE 7E.17...
Suppose that three girls A, B, and C throw snowballs at a target. Suppose also that girl A throws 10 times, and the probability that she will hit the target on any given throw is 0.3; girl B throws...
Alabama building contracts for a 12-month period (in millions of dollars) are 240, 350, 230, 260, 280, 320, 220, 310, 240, 310, 240, and 230. a. Compare a 3-month moving average forecast with an...
Suppose the random variable X has a geometric distribution with a mean of 2.5. Determine the following probabilities: (a) P(X = 1) (b) P(X =4) (c) P(X =5) (d) P(X < 3) (e) P(X =3)
Errors caused by contamination on optical disks occur at the rate of one error every 105 bits. Assume the errors follow a Poisson distribution. (a) What is the mean number of bits until five errors...