Over a nine-month period, OutdoorGearLab tested hardshell jackets designed for ice climbing, mountaineering, and backpacking. Based on the breathability, durability, versatility, features, mobility,...
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,000 will be accepted. Assume that the...
Ward Doering Auto Sales is considering offering a special service contract that will cover the total cost of any service work required on leased vehicles. From experience, the company manager...
A regression model to predict Y, the state-by-state 2005 burglary crime rate per 100,000 people, used the following four state predictors: X1 = median age in 2005, X2 = number of 2005 bankruptcies...
A molding process uses a five-cavity mold for a part used in an automotive assembly. The wall thickness of the part is the critical quality characteristic. It has been suggested to use and R charts...
Listed below are altitudes (thousands of feet) and outside air temperatures (F) recorded by the author during Delta Flight 1053 from New Orleans to Atlanta. For the prediction interval, use a 95%...
The demand (in number of copies per day) for a city newspaper, x, has historically been 50,000, 70,000, 90,000, 110,000, or 130,000 with the respective probabilities .1, .25, .4, .2, and .05. a....
The production of wine is a multibillion dollar worldwide industry. In an attempt to develop a model of wine quality as judged by wine experts, data was collected from red wine variants of Portuguese...
Apple products have become a household name in America with 51 percent of all households owning at least one Apple product (CNN, March 19, 2012). The likelihood of owning an Apple product is 61...
Annual sales, in millions of dollars for 21 pharmaceutical companies follow. a. Provide a five-number summary. b. Compute the lower and upper limits. c. Do the data contain any outliers? d. Johnson &...
A pharmaceutical company produces the drug NasaMist from four chemicals. Today, the company must produce 1000 pounds of the drug. The three active ingredients in NasaMist are A, B, and C. By weight,...
A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the pack-ages to contain a...
The Old Farmers Almanac stated that the average consumption of water per person per day was 123 gallons. To test the hypothesis that this figure may no longer be true, a researcher randomly selected...
In the thermos shown in Figure, the innermost compartment is separated from the middle container by a vacuum. There is a final shell around the thermos. This final shell is separated from the middle...
Find the following z values for the standard normal variable Z. a. P(Z z) = 0.9744 b. P ( Z < z ) = 0.8389 c. P(- z Z z) = 0.9= d. P (0 Z z) = 0.331=
Bicycling, the worlds leading cycling magazine, reviews hundreds of bicycles throughout the year. The magazines Road-Race category contains reviews of bikes used by riders primarily interested in...
Of the 35 students in a class, 22 are taking the class because it is a major requirement, and the other 13 are taking it as an elective. If two students are selected at random from this class, what...
In Case Study 19.1, we learned that about 56% of American adults actually voted in the presidential election of 1992, whereas about 61% of a random sample claimed that they had voted. The size of the...
The alignment between the magnetic tape and head in a magnetic tape storage system affects the performance of the system. Suppose that 10% of the read operations are degraded by skewed alignments, 5%...
Two different routes accommodate travel between two cities. Route A normally takes 60 minutes and route B normally takes 45 minutes. If traffic problems are encountered on route A, the travel time...
A popular casino table game is three-card poker. One aspect of the game is the pair plus bet in which a player is paid a dollar amount for any hand of a pair or better, regardless of the hand the...
Suppose we modify the production model from Section 1.3 to obtain the following mathematical model: Max 10x s.t. ax 40 x 0 Where a is the number of hours required for each unit produced. With a =...
In Chapter 19, we discuss acceptance sampling. Acceptance sampling is a statistical method used to monitor the quality of purchased parts and components. To ensure the quality of incoming parts, a...
In a study of treatments for very painful cluster headaches, 150 patients were treated with oxygen and 148 other patients were given a placebo consisting of ordinary air. Among the 150 patients in...
1. Use appropriate descriptive statistics to summarize the transmission failure data. 2. Develop a 95% confidence interval for the mean number of miles driven until transmission failure for the...
The MJK Manufacturing Company must produce two products in sufficient quantity to meet contracted sales in each of the next three months. The two products share the same production facilities, and...
Toolco produces three types of tools, T1, T2, and T3.The tools use two raw materials, M1 and M2, according to the data in the following table: The available daily quantities of raw materials M1 and...
A customer has approached a bank for a $100,000 one year loan at a 12% interest rate. If the bank does not approve this loan application, the $100,000 will be invested in bonds that earn a 6% annual...
For the function f whose graph is given, state the value of the given quantity, if it exists. If it does not exist, explain why. (a) limx→0 f(x) (b limx→3 f(x) (c) limx→3+ f(x) (d)...
A social scientist would like to analyze the relationship between educational attainment and salary. He collects the following sample data, where Education refers to years of higher education and...
A family farming concern owns five parcels of farmland broken into a southeast sector, north sector, northwest sector, west sector, and southwest sector. The farm concern is involved primarily in...
Popeye Canning is contracted to receive daily 60,000 lb of ripe tomatoes at 7 cents per pound from which it produces canned tomato juice, tomato sauce, and tomato paste. The canned products are...
The variable smokes is a binary variable equal to one if a person smokes, and zero otherwise. Using the data in SMOKE.RAW, we estimate a linear probability model for smokes: The variable white equals...
The pull strength of a wire bond is an important characteristic. The following table gives information on pull strength (y), die height (x1), post height (x2), loop height (x3), wire length (x4),...
Refer to the Billy's Bank situation in Problem 13-24. Billy is considering adding a second teller (who would work at the same rate as the first) to reduce the waiting time for customers, and he...
There has been a lot of discussion regarding the relationship between Scholastic Aptitude Test (SAT) scores and test-takers family income (New York Times, August 27, 2009). It is generally believed...
According to the Ameriprise Financial Money Across Generations study, 9 out of 10 parents with adult children ages 20 to 35 have helped their adult children with some type of financial assistance...
The number of students taking the 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 hopes of improving the score...
CCN and Act Media provided a television channel targeted to individuals waiting in super-market checkout lines. The channel showed news, short features, and advertisements. The length of the program...
a.For the physicians given the bottles labeled with a concentration, find the percentage of correct dosage calculations, then express it as a probability. b.For the physicians given the bottles...
Consider the MSA marketing research example discussed in Section 3.3 (page 74) of Chapter 3. Use the Sensitivity Report for this LP model (shown in Screenshot 4-7 on page 150) to answer the following...
(a) Sketch the curve y3 = x2. (b) Use Formulas 3 and 4 to set up two integrals for the arc length from (0, 0) to (1, 1). Observe that one of these is an improper integral and evaluate both of them....
The torque required to remove bolts in a steel plate is rated as very high, high, average, and low, and these occur about 30%, 40%, 20%, and 10% of the time, respectively. Suppose n = 25 bolts are...
Ralph Billett is the manager of a real estate agency. He now wishes to develop a forecast of the number of houses that will be sold by the agency over the next year. The agencys quarter-by-quarter...
Suppose that Pars management encounters the following situations: a. The accounting department revises its estimate of the profit contribution for the deluxe bag to $18 per bag. b. A new low-cost...
A survey was targeted at determining if educational attainment affected Internet use. Randomly selected shoppers at a busy mall were asked if they used the Internet and their highest level of...
The file contains the data in the next column about the cost of electricity during July 2010 for a random sample of 50 one-bedroom apartments in a large city. a. Construct a frequency distribution...
Dotties Tax Service specializes in federal tax returns for professional clients, such as physicians, dentists, accountants, and lawyers. A recent audit by the IRS of the returns she prepared...
Apparently, depression significantly increases the risk of developing dementia later in life (BBC News, July 6, 2010). In a recent study it was reported that 22% of those who had depression went on...
Prince Charming has to go around town asking if the glass slipper fits until he finds a woman whose foot fits properly in the slipper so that he will know who to marry. (We do not endorse this...
In a college football game, the quarterback attempted passes with the following results. Find the total gain or loss. Try Gain/Loss 1st 13-yd gain 2nd 12yd gain 3rd 21-yd gain
A manufacturer of travel pillows must determine the production plan for the next production cycle. He wishes to make at least 300 of each of the three models that his firm offers and no more than...
Find the area of the crescent-shaped region (called a lune) bounded by arcs of circles with radii r and R. (See the figure.) R
Cancer cells grow exponentially with a doubling time of 20 h when they have an unlimited nutrient supply. However, as the cells start to from a solid spherical tumor without a blood supply, growth at...
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...
Several major automobile producers are competing to have the largest market share for sport utility vehicles (SUVs) in the coming quarter. A professional automobile market analyst assesses that the...
Suppose the true average growth m of one type of plant during a 1year period is identical to that of a second type, but the variance of growth for the first type is 2, whereas for the second type the...
A lot of 75 washers contains 5 in which the variability in thickness around the circumference of the washer is unacceptable. A sample of 10 washers is selected at random, without replacement. (a)...
Newspaper headlines at the time and traditional wisdom in the succeeding decades have held that women and children escaped the Titanic in greater proportion than men. Heres a table with the relevant...
A notebook computer dealer mounts a new promotional campaign. Purchasers of new computers may, if dissatisfied for any reason, return them within 2 days of purchase and receive a full refund. The...
Isle Royale National Park is a 210-square-mile archipelago composed of a single large island and many small islands in Lake Superior. Moose, arrived around 1900 and by 1930, their population...
Evertight, a leading manufacturer of quality nails, produces 1-, 2-, 3-, 4-, and 5-inch nails for various uses. In the production process, if there is an overrun or the nails are slightly defective,...
A swimming pool is 20 ft wide and 40 ft long and its bottom is an inclined plane, the shallow end having a depth of 3 ft and the deep end, 9 ft. If the pool is full of water, find the hydrostatic...
Refer to the Problem 3-31 for details about the game of roulette. Another bet in a roulette game is called a "straight up" bet, which means that the player is betting that the winning number will be...
Workers in several industries were surveyed to determine the proportion of workers who feel their industry is understaffed. In the government sector, 37% of the respondents said they were...
Chicken sandwiches are often advertised as a healthier alternative to beef because many are lower in fat. Tests on 11 brands of fast-food chicken sandwiches produced the following summary statistics...
A nationwide CareerBuilder survey was conducted regarding the job hunting experience. From the survey, it was learned that 26% of workers have had a bad experience as a job applicant. Eighty-two...
Fifteen percent of Australians smoke. By introducing tough laws banning brand labels on cigarette packages, Australia hopes to reduce the percentage of people smoking to 10% by 2018 (Reuters website,...
News coverage during a recent election projected that a certain candidate would receive 54.8% of all votes cast; the projection had a margin of error of {3% a. Give a point estimate for the...
The article Determination of Most Representative Subdivision (Journal of Energy Engineering [1993]: 43 55) gave data on various characteristics of subdivisions that could be used in deciding whether...
A metallurgy company wanted to investigate the effect of the percentage of ammonium and the stir rate on the density of the powder produced. The results (stored in Density) are as follows: At the...
Colonel Electric is a large company that produces lightbulbs and other electrical products. One particular lightbulb is supposed to have an average life of about 1,000 hours before it burns out....
Although controversial and the subject of some recent law suits (e.g., Satchell et al. vs. FedEx Express), some human resource departments administer standard IQ tests to all employees. The...
A fluorescent lamp manufacturer guarantees that the mean life of a certain type of lamp is at least 10,000 hours. You want to test this guarantee. To do so, you record the lives of a random sample of...
The depths of a river H are measured at equally spaced distances across a channel as tabulated below. The rivers cross- sectional area can be determined by Integration as in Use Romberg integration...
Compute the velocity of a free-falling parachutist using Eulers method for the case where m = 80 kg and c = 10 kg/s. Per-form the calculation from t = 0 to 20 s with a step size of 1 s. Use an...
Suppose that Westside Auto of Problem 4, with D = 12,000 units per year, Ch = (2.50)(0.20) = $0.50, and Co = $25, decided to operate with a backorder inventory policy. Backorder costs are estimated...
A sales manager collected the following data on annual sales for new customer accounts and the number of years of experience for a sample of 10 salespersons. / a. Develop a scatter diagram for these...
The data shown in Table 11.E1 come from a production process with two observable quality characteristics: x1 and x2. The data are sample means of each quality characteristic, based on samples of size...
The proportion of adult women in the United States is approximately 51%. A marketing survey telephones 400 people at random. a) What proportion of the sample of 400 would you expect to be women? b)...
A design engineer at Sperling Manufacturing, a supplier of high-quality ball bearings, claims a new machining process can result in a higher daily output rate. Accordingly, the production group is...
Helen Murvis, hospital administrator for Portland General Hospital, is trying to determine whether to build a large wing onto the existing hospital, a small wing, or no wing at all. If the population...
An insurance company, based on past experience, estimates the mean damage for a natural disaster in its area is $5,000. After introducing several plans to prevent loss, it randomly samples 200...
The table below lists weights (carats) and prices (dollars) of randomly selected diamonds. For the prediction interval, use a 95% confidence level with a diamond that weighs 0.8 carats. Find the (a)...
1. Develop a schedule for hiring new employees. What is the total cost of this schedule? 2. Discuss any limitations that exist for this solution. 3. How would the schedule change if the attrition...
The technical support desk at a college has set up a special service for tablets. A survey shows that 54% of tablets on campus run Apples iOS, 43% run Googles Android OS, and 3% run Microsofts...
1. If the 95% confidence interval for the number of moviegoers who purchase from the concession stand is 30% to 45%, then fewer than half of all moviegoers do not purchase from the concession stand....
One of Speedy Airlines flights is about to take off from Seattle for a nonstop flight to London. There is some flexibility in choosing the precise route to be taken, depending upon weather...
Montgomery, Peck, and Vining (2001) present data concerning the performance of the 28 National Football League teams in 1976. It is suspected that the number of games won (y) is related to the number...
A cross-section of a parabolic reflector is shown in the figure. The bulb is located at the focus and the opening at the focus is 10 cm. (a) Find an equation of the parabola. (b) Find the diameter of...
Refer to the Journal of Engineering for Gas Turbines and Power (Jan. 2005) study of a high-pressure inlet fogging method for a gas turbine engine. Exercise 12.19. Recall that you fit a first-order...
An adjustable rate mortgage allows the rate of interest to fluctuate over the term of the loan, depending on economic conditions. A fixed rate mortgage holds the rate of interest constant. Which...
Use the pie chart of a person's monthly income. a. Suppose the total monthly income is $5,800. Determine the amounts in each income category. b. Suppose the income from the secondary job was $1,225....
A fault-tolerant system that processes transactions for a financial services firm uses three separate computers. If the operating computer fails, one of the two spares can be immediately switched...
The five nodes in the following network represent points one year apart over a four-year period. Each node indicates a time when a decision is made to keep or replace a firms computer equipment. If a...
Dillard Travey receives 5,000 tripods annually from Quality Suppliers to meet his annual demand. Dillard runs a large photographic outlet, and the tripods are used primarily with 35-mm cameras. The...
A survey of 36 randomly selected iPhone owners showed that the purchase price has a mean of $416 with a sample standard deviation of $180. a. Compute the standard error of the sample mean. b. Compute...
The following data represent political party by age from a random sample of registered Iowa Voters. (a) Are the events Republican and 30-44 independent? Justify your answer. (b) Are the events...
From the paper Effects of Chronic Nitrate Exposure on Gonad Growth in Green Sea Urchin Strongylocentrotus droebachiensis (Aquaculture, Vol. 242, No. 14, pp. 357363) by S. Siikavuopio et al., we found...
In Canada, criminals are entitled to parole after serving only one-third of their sentence. Virtually all prisoners, with several exceptions including murderers, are released after serving two-thirds...