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,...
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...
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...
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...
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...
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...
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...
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 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...
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 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...
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 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...
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 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...
Over a nine-month period, OutdoorGearLab tested hardshell jackets designed for ice climbing, mountaineering, and backpacking. Based on the breathability, durability, versatility, features, mobility,...
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...
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...
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...
Floyd's Bumpers has distribution centers in Lafayette, Indiana: Charlotte, North Carolina; Los Angeles, California; Dallas, Texas; and Pittsburgh, Pennsylvania. Each distribution center carries all...
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...
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 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),...
A study found that, in 2005, 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21, 2006). Suppose a sample of 400 U.S. workers is collected in 2006 to determine whether union...
Allie White, the chief loan officer for the Dominion Bank, would like to analyze the bank's loan portfolio for the years 2001 to 2006. The data are shown in Table P-17. a. Compute the...
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 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....
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...
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...
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...
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...
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...
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 marketing research organization GfK Roper conducts a yearly survey on consumer attitudes worldwide. They collect demographic information on the roughly 1500 respondents from each country that...
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=
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...
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...
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...
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%...
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...
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...
Fit a second-order Newtons interpolating polynomial to estimate log 10 using the data from Prob. 18.1 at x = 8, 9, and 11. Compute the true percent relative error.
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...
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%...
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 =...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
(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....
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...
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...
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
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)...
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...
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...
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...
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...
The following data represent trunk circumferences (in mm) for a random sample of 60 four-year-old apple trees at East Malling Agriculture Research Station in England (Reference: S. C. Pearce,...
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...
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
Premiums for the Sun-Belt Insurance Company are given in the table. Find the annual premiums for $250,000 of the following Sun- Belt life insurance policies. a. A 10-year life insurance policy...
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...
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...
The Consolidated Edison Company sells electricity (82% of revenues), gas (13%), and steam (5 %) in New York City and Westchester County. Bart Thomas, company forecaster, is assigned the task of...
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...
Industrial Chemicals produces two adhesives used in the manufacturing process for airplanes. The two adhesives, which have different bonding strengths, require different amounts of production time:...
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)...
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...
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,...
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...
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,...
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...
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...
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...
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...
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...
Use the data set 401KSUBS.RAW for this exercise. (i) Using OLS, estimate a linear probability model for e401k, using as explanatory variables inc, inc2, age, age2, and male. Obtain both the usual OLS...
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...
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...
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...
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...
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...
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...
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...
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...
The table below shows the percent of the labor force that is unemployed and the size of the labor force for three counties in northwest Ohio. Jon Elsas is the Regional Director of Economic...
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....
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....
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...