A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is , the fuel is consumed at rate r, and the...
Raquel Covington is a graduate student majoring in environmental management. In one particular class, Raquel has maintained a low A average throughout the semester, and she needs an A or a high B on...
Wooden boxes are commonly used for the packaging and transportation of mangoes. A convenience store in Morganville, New Jersey, regularly buys mangoes from a wholesale dealer. For every shipment, the...
Consider the 63 automatic teller machine (ATM) transaction times given in Table 3.4 above. a. Construct a histogram (or a stem- and- leaf display) for the 63 ATM transaction times. Describe the shape...
A regional manager at Acme Markets would like to develop a model to predict weekly sales of pet food based on the shelf space. The following table shows the results of data collected from nine...
At a certain university in the United States, 62% of the students are at least bilingual- speaking English and at least one other language. Of these students, 80% speak Spanish and, of the 80% who...
Percentages of public school students in fourth grade in 1996 and in eighth grade in 2000 who were at or above the proficient level in mathematics were given in the article Mixed Progress in Math...
Consumer Reports provided extensive testing and ratings for 24 treadmills. An overall score, based primarily on ease of use, ergonomics, exercise range, and quality, was developed for each treadmill...
The National Center for Health Statistics reported the following data on the number of children born in individual pregnancies in 1996 and 2006 (The World Almanac, 2010): a. Define a random variable...
The U.S. Environmental Protection Agency (EPA) monitors levels of pollutants in the air for cities across the country. Ozone pollution levels are measured using a 500-point scale; lower scores...
Tires salvaged from a train wreck are on sale at the Getrich Tire Company. Of the 15 tires offered in the sale, 5 have suffered internal damage and the remaining 10 are damage free. You randomly...
The data in Table 8E.11 were taken by one operator during a gauge capability study. (a) Estimate gauge capability. b) Does the control chart analysis of these data indicate any potential problem in...
Ten individuals have participated in a diet-modification program to stimulate weight loss. Their weight both before and after participation in the program is shown in the following list is there...
Suppose that the population y(t) of a certain kind of fish is given by the logistic equation (8), and fish are caught at a rate Hy proportional to y. Solve this so-called Schaefer model. Find the...
A system consists of two power plants that must deliver loads over a transmission network. The costs of generating power at plants 1 and 2 are given by F1 = 2p1 + 2 F2 = 10p2 Where p1 and p2 = power...
One important statistic in baseball is a pitchers earned run average, or ERA. This number represents the average number of earned runs given up by the pitcher per nine innings. The following table...
A study conducted by the Pew Research Center showed that 75% of 18to 34-year-olds living with their parents say they contribute to household expenses (The Wall Street Journal, October 22, 2012)....
Calculate the 90% confidence interval for the following variables, comparing lower, working, middle, and upper classes (CLASS) in the GSS sample. First, tell SPSS that we want to select all cases in...
Dean's Furniture Company assembles regular and deluxe kitchen cabinets from precut lumber. The regular cabinets are painted white, and the deluxe are varnished. Both painting and varnishing are...
Social log-ins involve recommending or sharing an article that you read online. According to Janrain ("T. Wayne, One Log-In Catches on for Many Sites," The New York Times, May 2, 2011, p. B2), in the...
On May 7, 1992, the space shuttle Endeavour was launched on mission STS-49, the purpose of which was to install a new perigee kick motor in an Intelsat communications satellite. The table gives the...
A liquor wholesaler is interested in assessing the effect of the price of a premium scotch whiskey on the quantity sold. The results in the accompanying table on price, in dollars, and sales, in...
Elliptical trainers are becoming one of the more popular exercise machines. Their smooth and steady low-impact motion makes them a preferred choice for individuals with knee and ankle problems. But...
Baseballs vary somewhat in their rebounding coefficient. A baseball that has a large rebound coefficient will travel farther when the same force is applied to it than a ball with a smaller...
The U.S. Census Bureau publishes data on factory orders for all manufacturing, durable goods, and nondurable goods industries. Shown here are factory orders in the United States over a 13-year period...
Direct marketing companies are turning to the Internet for new opportunities. A recent study by Gruppo, Levey, & Co. showed that 73% of all direct marketers conduct transactions on the Internet....
Thirty-four percent of voters think that Congress should help write standards for school food. You randomly select six voters and ask them whether Congress should help write standards for school...
A Harris Poll surveyed 2085 U.S. adults regarding use of cell phones while driving. All the adults were asked their opinion regarding how dangerous it is for a driver to use a cell phone while...
A convenience store has two separate locations in the store where customers can be: checked out as they leave. These locations both have: two cash registers and have two employees that check out...
Find the shortest route from node 1 to node 7 in the networkshown. 5 4
Summertime Tees sells two very popular styles of embroidered shirts in southern Florida: a tank top and a regular T-shirt. The cost of the tank top is $6, and the cost of the T-shirt is $8. The...
A typing-competency test yields scores with x = 80.0 and s = 10.0, and a histogram shows that the distribution of the scores is roughly bell-shaped. Use the empirical rule to answer the following: a....
The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website, March 5, 2012). The overall score is...
The vice president of sales for Blasterman Cosmetics, Inc. believes that 40% of the company's orders come from customers who are less than 30 years old. A random sample of 10,000 orders will be used...
Let X1, X2, , Xn be uniformly distributed on the interval 0 to a. Recall that the maximum likelihood estimator of a is a = max (Xi). (a) Argue intuitively why cannot be an unbiased estimator for a....
TriCity Manufacturing (TCM) makes Styrofoam cups, plates, and sandwich and meal containers. Next weeks schedule calls for the production of 80,000 small sandwich containers, 80,000 large sandwich...
Donna Shader, manager of the Winter Park Hotel, is considering how to restructure the front desk to reach an optimum level of staff efficiency and guest service. At present, the hotel has five clerks...
A company is concerned with the high cholesterol levels of many of its employees. To help combat the problem, it opens an exercise facility and encourages its employees to use this facility. After a...
Many nutritional experts have expressed concern about the high levels of sodium in prepared foods. The following data on sodium content (in milligrams) per frozen meal appeared in the article...
Use the spreadsheet model constructed to answer Problem 1 to answer this problem. a. Construct a one-way data table with production volume as the column input and profit as the output. Breakeven...
Lee Appliances knows that weekly demand for high-end microwaves is normally distributed, with a mean of 25 units and a standard deviation of 7 units. (In your model use integers for all demands.) Lee...
Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes rats to find...
The thickness of photo resist applied to wafers in semiconductor manufacturing at a particular location on the wafer is uniformly distributed between 0.2050 and 0.2150 micrometers. (a) Determine the...
A recent report suggests that business majors spend the least amount of time on course work than do all other college students (New York Times, November 17, 2011). A provost of a university conducts...
The following is a stem- and- leaf display representing the amount of gasoline purchased, in gallons (with leaves in tenths of gallons), for a sample of 25 cars that use a particular service station...
Leah Sanchez might have a different objective than maximizing expected profit. How does her optimal order quantity change if her objective is to minimize leftovers? What if her objective is to...
If a cell phone company conducted a telemarketing campaign to generate new clients, and the probability of successfully gaining a new customer was 0.05, what are the probabilities that contacting 25...
A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup. A B R
A recent report indicated a typical family of four spends $490 per month on food. Assume the distribution of food expenditures for a family of four follows the normal distribution, with a standard...
A city council is deciding whether or not to spend additional money to reduce the amount of traffic. The council decides that it will increase the transportation budget if the amount of waiting time...
FineHair is developing a new product to promote hair growth in cases of male pattern baldness. If FineHair markets the new product and it is successful, the company will earn $1,000,000 in additional...
Some experts believe that 20% of all freshwater fish in the United States have such high levels of mercury that they are dangerous to eat. Suppose a fish market has 250 fish tested, and 60 of them...
During the first quarter of 2003, the price/earnings (P/E) ratio for stocks listed on the New York Stock Exchange generally ranged from 5 to 60 (The Wall Street Journal, March 7, 2003). Assume that...
Use Taylors Inequality to determine the number of terms of the Maclaurin series for ex that should be used to estimate e0.1 to within 0.00001.
Suppose that for a very large shipment of integrated-circuit chips, the probability of failure for any one chip is 0.10. Assuming that the assumptions underlying the binomial distributions are met,...
In addition to selling Christmas trees during the Christmas holidays, Harry's Hardware sells all the ordinary hardware items. One of the most popular items is Great Glue HH, a glue that is made just...
Three assembly lines are used to produce a certain component for an airliner. To examine the production rate, a random sample of six hourly periods is chosen for each assembly line and the number of...
A soft-drink company produces 100,000 12-ounce bottles of soda per year. By adjusting a dial, the company can set the mean number of ounces placed in a bottle. Regardless of the mean, the standard...
A random sample of 16 tires was tested to estimate the average life of this type of tire under normal driving conditions. The sample mean and sample standard deviation were found to be 47,500 miles...
Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 20...
The number of students taking the Scholastic Aptitude Test (SAT) has risen to an all-time high of more than 1.5 million (College Board, August 26, 2008). Students are allowed to repeat the test in...
An operation consists of two steps, of which the first can be made in n1 ways. If the first step is made in the ith way, the second step can be made in n2i ways. (a) Use a tree diagram to find a...
The proportion of the budgets for a certain type of industrial company that is allotted to environmental and pollution control is coming under scrutiny. A data collection project determines that the...
A random sample of 200 adults is classified below by sex and their level of education attained.If a person is picked at random from this group, find the probability that(a) The person is a male,...
Refer to the description of Century National Bank at the end of the Review of Chapters 14 on page 128. With many other options available, customers no longer let their money sit in a checking...
Wawa Corporation operates 570 convenient food stores in Delaware, Maryland, New Jersey, Pennsylvania, and Virginia. Suppose the companys managers have a goal that customer satisfaction is to average...
The U.S. Postal Service will ship a Priority Mail Large Flat Rate Box (12" 3 12" 3 5") anywhere in the United States for a fixed price, regardless of weight. The weights (ounces) of 20 randomly...
Consider the data set in Table 11.3.1, representing the ages (in years) and maintenance costs (in thousands of dollars per year) for five similar printing presses. a. Draw a scatterplot of this data...
A safety engineer claims that only 40% of all workers wear safety helmets when they eat lunch at the workplace. Assuming that his claim is right, find the probability that 4 of 6 workers randomly...
Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great Lakes region, the Southeast, and the Northeast. Jim Bardi, the president, is studying the relationship between the...
Given a shaky economy and high heating costs, more and more households are struggling to pay utility bills (The Wall Street Journal, February, 14, 2008). Particularly hard hit are households with...
Show that in Example 7.3.2 it must be true that V 0.01 after 22 items have been selected. Also show that V > 0.01 until at least seven items have been selected.
Sascha owns stock in Lewis Corp and she bought a $1,000 corporate bond. The bond pays 6.34% annual interest. a. How much will Sascha receive in annual interest? b. How much will Sascha receive in...
Gebhardt Electronics produces a wide variety of transformers that it sells directly to manufacturers of electronics equipment. For one component used in several models of its transformers, Gebhardt...
In the design of an electromechanical product, seven different components are to be stacked into a cylindrical casing that holds 12 components in a manner that minimizes the impact of shocks. One end...
A survey of 2,645 consumers by DDB Needham Worldwide of Chicago for public relations agency Porter/Novelli showed that how a company handles a crisis when at fault is one of the top influences in...
The Mendez Mortgage Company case study was given in Chapter 2. A random sample of n = 350 accounts of the company's total portfolio was selected. Estimate the proportion of all the company's accounts...
The histogram shows the distribution of the number of televisions in the homes of 90 community college students. a. According to the histogram, about how many homes do not have a television? b. How...
The table shows the number of live births per 1000 population in the United States, starting in 1965. a) Make a scatterplot and describe the general trend in Birthrates. (Enter Year as years since...
The Garden Avenue Seven sells tapes of its musical performances. The following data show sales for the past 18 months. The groups manager wants an accurate method for forecasting future sales. a. Use...
The Jessie Cohen Clothing Group owns factories in three towns (W, Y and Z) which distribute to three Cohen retail dress shops (in A, B, and C). Factory availabilities, projected store demands, and...
According to the Air Transport Association of America, the average operating cost of an MD-80 jet airliner is $2,087 per hour. Suppose the operating costs of an MD-80 jet airliner are normally...
A seven-year medical research study reported that women whose mothers took the drug DES during pregnancy were twice as likely to develop tissue abnormalities that might lead to cancer as were women...
Buck and Bill Bogus are twin brothers who work at a gas station and have a counterfeiting business on the side. Each day a decision is made as to which brother will go to work at the gas station, and...
The graph of a straight line depreciation equation is shown. a. Use the graph to approximate the value of the car after 4 years. b. Use the graph to approximate the value of the car after 5 years. c....
For each scenario described below, state whether or not the binomial distribution is a reasonable model for the random variable and why. State any assumptions you make. (a) A production process...
A bearing assembly contains 10 bearings. The bearing diameters are assumed to be independent and normally distributed with a mean of 1.5 millimeters and a standard deviation of 0.025 millimeter. What...
In the year that this exercise was written, there were 611 challenges made to referee calls in professional tennis singles play. Among those challenges, 172 were upheld with the call overturned....
Women have heights with a mean equal to 160.00 cm. the hypothesis test results in a P-value of 0.0614. Assume a significance level of = 0.05 a. State a conclusion about the null hypothesis. b....
The data below show the sugar content (as a percentage of weight) of several national brands of children's and adults' cereals Create and interpret a 95% confidence interval for the difference in...
For a certain manufacturer, the production and sale of each additional unit yields an additional profit of $10. The sale of 1000 units yields a profit of $4000. (a) Find the profit equation. (b) Find...
Given the following information obtained from three normally distributed populations, construct an ANOVA table and perform an ANOVA test of mean differences at the 1% significance level. SSTR =...
A movie production company is releasing a movie with the hopes of many viewers returning to see the movie in the theater for a second time. Their target is to have 30 million viewers, and they want...
A website manager has noticed that during the evening hours, about 3 people per minute check out from their shopping cart and make an online purchase. She believes that each purchase is independent...
A 2012 Gallup Poll reported that only 581 out of a total of 2004 U.S. adults said they had a great deal of confidence or quite a lot of confidence in the public school system. This was down 5...
Five administrative assistants use an office copier. The average time between arrivals for each assistant is 40 minutes, which is equivalent to an arrival rate of 1/40 = 0.025 arrival per minute. The...
In a CNNMoney.com poll conducted on July 13, 2010, a sample of 5,324 Americans were asked about what matters most to them in a place to live. Thirty-seven percent of the respondents felt job...
A company that produces cell phones claims its standard phone battery lasts longer on average than other batteries in the market. To support this claim, the company publishes an ad reporting the...
Two different methods can be used for measuring the temperature of the solution in a Hall cell used in aluminum smelting, a thermocouples implanted in the cell and an indirect measurement produced...
Data were collected on the number of operating rooms in use at Tampa General Hospital over a 20-day period. On 3 of the days only one operating room was used; on 5 days, two were used; on 8 days,...