Annas project for her introductory statistics course was to compare the selling prices of textbooks at two Internet bookstores. She first took a random sample of 10 textbooks used that term in...
The probability that a student fails the screening test for scoliosis (curvature of the spine) at a local high school is known to be 0.004. Of the next 1875 students who are screened for scoliosis,...
According to a Michigan State University researcher, Americans are becoming increasingly polarized on issues pertaining to the environment. (news.msu.edu, April 19, 2011). It is reported that 70% of...
Many companies use a quality control technique called acceptance sampling to monitor incoming shipments of parts, raw materials, and so on. In the electronics industry, component parts are commonly...
According to a survey of restaurant owners in the U.S. by Must Have Menus, 77% of restaurant owners believe that they need to use social media as a marketing tool. A different survey by the National...
The following table shows distributions of bachelors degrees earned in 2005 2006 for selected fields of study by all male graduates and by all female graduates. (a) How many female psychology majors...
An online survey asked 1,004 adults "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 9% of the...
A random sample of 100 Modern Art dining room tables that came off the firm's assembly line is examined. Careful inspection reveals a total of 2,000 blemishes. What are the 99.7% upper and lower...
Osteoporosis is a degenerative disease that primarily affects women over the age of 60. A research analyst wants to forecast sales of StrongBones, a prescription drug for treating this debilitating...
A business analyst was interested in the relationship between a company's sales and its profits. She collected data (in millions of dollars) from a random sample of Fortune 500 companies and created...
Because of a sluggish economy, Bechtold Construction has been forced to modify its plans for the housing development in Problem 11-9. The result is that the path from node 6 to 7 now has a distance...
1. Use descriptive statistics to summarize the data from the two studies. What are your preliminary observations about the depression scores? 2. Use analysis of variance on both data sets. State the...
Find the probability that the number x of correct answers is fewer than 3. Assume that random guesses are made for five multiple-choice questions on an ACT test, so that there are n = 5 trials, each...
A study was conducted with vegetarians to see whether the number of grams of protein each ate per day was related to diastolic blood pressure. The data are given here. If there is a significant...
An x chart is used to control the mean of a normally distributed quality characteristic. It is known that = 6.0 and n = 4. The center line = 200, UCL = 209, and LCL = 191. If the process mean shifts...
The data in Table P-16 show seasonally adjusted quarterly sales for Dickson Corporation and for the entire industry for 20 quarters. a. Fit a linear regression model, and store the residuals. Plot...
Consider the following table comparing the grade point averages (GPAs) and mathematics SAT scores of high school students in 1988 and 1998 (before the SAT test format was revised). a. In general...
In Exercise 54, we saw a 98% confidence interval of (-40, -22) minutes for (top - (Front the difference in time it takes top-loading and front-loading washers to do a load of clothes. Explain why you...
Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful products received good reviews, 60% of moderately successful products received good reviews, and 10%...
Engineers and scientists use mass-spring models to gain insight into the dynamics of structures under the influence of disturbances such as earthquakes. Figure shows such a representation for a...
Education reform is one of the most hotly debated subjects on both state and national policy makers list of socioeconomic topics. Consider a linear regression model that relates school expenditures...
A bowlers scores for six games were 182, 168, 184, 190, 170, and 174. Using these data as a sample, compute the following descriptive statistics: a. Range b. Variance c. Standard deviation d....
Elena conducts an experiment in which she ï¬lls up the gas tank on her Toyota Camry 40 times and records the miles per gallon for each ï¬ll- up. A histogram of the miles per gallon...
The authors of the paper Racial Stereotypes in Childrens Television Commercials (Journal of Advertising Research [2008]: 8093) counted the number of times that characters of different ethnicities...
Required Tasks: 1. Compute the probability that the sampling plan will provide a result that suggests that SaveMor should reject the deal even if the true proportion of all customers who would switch...
A marketing organization wishes to study the effects of four sales methods on weekly sales of a product. The organization employs a randomized block design in which three salesman use each sales...
A survey of 1,700 shoppers asked, "Does social media influence your purchase decisions?" The results indicated that 20.3% of females responded that their purchase decisions are influenced by social...
A heated rod with a uniform heat source can be modeled with the Poisson equation, d2T/dx2 = (x) Given a heat source (x) = 25 and the boundary conditions, T(x = 0) = 40 and T(x = 10) = 200, solve for...
Hard Drives It is generally recognized that it is wise to back up computer data. Assume that there is a 2% rate of disk drive failure in a year (based on data from various sources, including Failure...
Antonio runs a shoe repair store by himself. Customers arrive to bring a pair of shoes to be repaired according to a Poisson process at a mean rate of 1 per hour. The time Antonio requires to repair...
Set up a tabular CUSUM scheme for the flow width data used in Example 6.1 (see Tables 6.1 and 6.2). When the procedure is applied to all 45 samples, does the CUSUM react more quickly than the x chart...
Shafer Office Supplies has four distribution centers located in Atlanta, Cincinnati, Chicago, and Salt Lake City, and ships to 12 retail stores located in Portland, San Jose, Las Vegas, Tucson,...
Consider the following time series: a. Construct a time series plot. What type of pattern exists in the data? b. Use an Excel or LINGO model with dummy variables as follows to develop an equation to...
A meat-processing company in the Midwest produces and markets a package of eight small sausage sandwiches. The product is nationally distributed, and the company is interested in knowing the average...
The manufacturer of a daily dietary supplement claims that its product will help people lose weight. The company obtains a random sample of 950 adult males aged 20 to 74 who take the supplement and...
An insurance company has the business objective of reducing the amount of time it takes to approve applications for life insurance. The approval process consists of underwriting, which includes a...
A bridge with a semielliptical arch spans a river as shown here. What is the clearance 6 ft from the riverbank? 14 ft 50 ft
For the data in Problem 5-42, develop an exponential smoothing model with a smoothing constant of 0.3. Using the MSE, compare this with the model in Problem 5-42. In Problem 5-42, The following table...
A consumer advocate claims that 80 percent of cable television subscribers are not satisfied with their cable service. In an attempt to justify this claim, a randomly selected sample of cable...
In an article in the Journal of Retailing, J. G. Blodgett, D. H. Granbois, and R. G. Walters investigated negative word-of-mouth consumer behavior. In a random sample of 201 consumers, 150 reported...
The Employment and Training Administration reported that the U.S. mean unemployment insurance benefit was $238 per week (The World Almanac, 2003). Are searcher in the state of Virginia anticipated...
If P (A|B) = 1, must A = B? Draw a Venn diagram to explain your answer.
The probability that a customers order is not shipped on time is 0.05. A particular customer places three orders, and the orders are placed far enough apart in time that they can be considered to be...
Suppose that the number of asbestos particles in a sample of 1 squared centimeter of dust is a Poisson random variable with a mean of 1000. What is the probability that 10 squared centimeters of dust...
The enrollment in the College of Business at Midwestern University by quarter from 2009 to spring 2013 is: Using the ratio-to-moving-average method: a. Determine the four quarterly indexes. b....
A recent study in the Journal of the American Medical Association (February 20, 2008) found that patients who go into cardiac arrest while in the hospital are more likely to die if it happens after...
A research specialist for a large seafood company plans to investigate bacterial growth on oysters and mussels subjected to three different storage temperatures. Nine cold-storage units are...
A local company manufactures telephone wire. The average length of the wire is 52 inches with a standard deviation of 6.5 inches. At most, what percentage of the: telephone wire from this company...
What are the assumptions underlying common queuing models?
A candy company fills a 20-ounce package of Halloween candy with individually wrapped pieces of candy. The number of pieces of candy per package varies because the package is sold by weight. The...
A certain elevator has a maximum legal carrying capacity of 6000 pounds. Suppose that the population of all people who ride this elevator have a mean weight of 160 pounds with a standard deviation of...
From a Prince Market Research poll in which respondents were asked if they acted to annoy a bad driver: n = 2518, x = 1083 who said that they honked. Use a 90% confidence level. Use the given sample...
A large tank is designed with ends in the shape of the region between the curves y = x2/2 and y = 12, measured in feet. Find the hydrostatic force on one end of the tank if it is filled to a depth of...
A production process produces electronic component, parts. It has presumably been established that the probability of a defective part is 0.01. During a test of this presumption, 500 items are...
Entrance to a prestigious MBA program in India is determined by a national test where only the top 10% of the examinees are admitted to the program. Suppose it is known that the scores on this test...
A power company located in southern Alabama wants to predict the peak power load (i.e., the maximum amount of power that must be generated each day to meet demand) as a function of the daily high...
The labor union and management of a particular company have been negotiating a new labor contract. However, negotiations have now come to an impasse, with management making a final offer of a wage...
Campbell Motors is an auto dealership that specializes in the sale of station wagons and light trucks. Because of its reputation for quality and service, Campbell has a strong position in the...
A criminologist conducted a survey to determine whether the incidence of certain types of crime varied from one part of a large city to another. The particular crimes of interest were assault,...
The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website, February 11, 2009). Assume the following data...
According to a 2009 survey based on the United States Census (www.census.gov/prod/(www.census.gov/prod/2011pubs/acs-15.pdf), (www.census.gov/prod/2011pubs/acs-15.pdf), the daily one- way commute time...
A researcher at the Medical College of Virginia conducted a study of 60 randomly selected male soccer players and concluded that frequently heading the ball in soccer lowers players IQs (USA Today,...
A survey found that 68% of adults ages 18 to 25 think that their generation is unique and distinct. Twelve adults ages 18 to 25 are randomly selected. The random variable represents the number of...
Household electricity is supplied in the form of alternating current that varies from 155V to 155V with a frequency of 60 cycles per second (Hz). The voltage is thus given by the equation E(t) = 155...
The following infinite series can be used to approximate e x? : (a) Prove that this Maclaurin series expansion is a special case of the Taylor series expansion [(Eq. (4.7)] with x i? = 0 and h = x...
Using the 911 call data in Problem 5-27, forecast calls for weeks 2 through 25 using = 0.9. Which is best? (Again, assume that actual calls in week 25 were 85 and use an initial forecast of 50...
Listed below are the net sales for a San Franciscoarea mail-order retailer for the years 2003 to 2012. Use the mean sales for the earliest three years to determine a base and then find the index for...
The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website). One of the variables in the study is meal...
What motivates employees? The Great Place to Work Institute evaluated nonfinancial factors both globally and in the United States. (Data extracted from L. Petrecca, "Tech Companies Top List of 'Great...
The Durham Insurance Company sells a five-year term insurance policy with face value of $100,000 to a 47-year-old man for a monthly premium of $63. The mortality table is given below. d. What is the...
Use Mullers method or MATLAB to determine the real and complex roots of (a) (x) = x3 - x2 + 3x - 5 (b) (x) = 2x4 + 6x2 10 (c) (x) = x4 - 2x3 + 6x2 8x + 8
Schips Department Store operates a fleet of 10 trucks. The trucks arrive at random times throughout the day at the stores truck dock to be loaded with new deliveries or to have incoming shipments...
A Travel Weekly International Air Transport Association survey asked business travelers about the purpose for their most recent business trip. Nineteen percent responded that it was for an internal...
The owner of Brittens Egg Farm wants to estimate the mean number of eggs produced per chicken. A sample of 20 chickens shows they produced an average of 20 eggs per month with a standard deviation of...
House price y is estimated as a function of the square footage of a house x and a dummy variable d that equals 1 if the house has ocean views. The estimated house price, measured in $1,000s, is given...
The data show the NFL team payrolls (in millions of dollars) for a specific year. Construct a frequency distribution for the payroll using 7 classes. (The data in this exercise will be used in...
Some friends of yours have been considering purchasing a new home. They currently live 20 miles from town on a two-acre tract. The family consists of the mother, father, and two small children. The...
A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 50 nonprofit organizations, the mean one-time gift do-nation in the past...
Lactation promotes a temporary loss of bone mass to provide adequate amounts of calcium for milk production. The paper "Bone Mass Is Recovered from Lactation to Postweaning in Adolescent Mothers with...
An article in the Journal of Sports Science (1987, Vol. 5, pp. 261271) presents the results of an investigation of the hemoglobin level of Canadian Olympic ice hockey players. The data reported are...
Juhn believes that adding a second fruit loader will substantially improve the firm's efficiency. He estimates that a two-person crew still acting like a single-server system, at the loading gate...
After retiring as a physician, Bob Guthrie became an avid downhill skier on the steep slopes of the Utah Rocky Mountains. As an amateur inventor, Bob was always looking for something new. With the...
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were...
A recent newspaper article reported the results of a survey of well-educated suburban parents. The responses to one question indicated that by age 2, children were watching an average of = 60...
An article in Quality Progress (For Starbucks, Its in the Bag, March 2011, pp. 18-23) describes using a central composite design to improve the packaging of one-pound coffee. The objective is to...
The Knowles/Armitage (KA) group at Merrill Lynch advises clients on how to create a diversified investment portfolio. One of the investment alternatives they make available to clients is the All...
The average full-sized front-loading Energy Star clothes washer uses 15 gallons of water per load (greenbuildingadvisor.com, December 4, 2015). Assume that the population standard deviation for the...
The number of text messages sent by 25 13-year-olds over the past month was as follows: a. Construct a frequency distribution using classes of 500 up to 600, 600 up to 700, etc. b. Construct the...
According to a survey by Accountemps, 48% of executives believe that employees are most productive on Tuesdays. Suppose 200 executives are randomly surveyed. a. What is the probability that fewer...
Below are sorted data showing average spending per customer (in dollars) at 74 Noodles & Company restaurants. (a) Construct a frequency distribution. Explain how you chose the number of bins and the...
The time between calls is exponentially distributed with a mean time between calls of 10 minutes. (a) What is the probability that the time until the first call is less than 5 minutes? (b) What is...
An experiment was conducted to compare the filling capability of packaging equipment at two different wineries. Ten bottles of pinot noir from Ridgecrest Vineyards were randomly selected and...
Suppose that Westsides management in Problem likes the operational efficiency of ordering once each month and in quantities of 1000 units. How much more expensive would this policy be than your EOQ...
Bank 98 operates a main location and three branch locations in a medium-size city. All four locations perform similar services, and customers typically do business at the location nearest them. The...
Repeat Problem 10.12 (a), assuming that the population variances in the two branches are not equal. Compare these results with those of Problem 10.12 (a). Problem 10.12 (a) t Test for Differences in...
The following table provides monthly revenue values for Tedstar, Inc., a company that sells valves to large industrial firms. The monthly revenue data have been graphed using a line chart in the...
Cramers Bar and Grille in Dallas can seat 130 people at a time. The manager has been gathering data on the number of minutes a party of four spends in the restaurant from the moment they are seated...
Fifteen adult males between the ages of 35 and 50 participated in a study to evaluate the effect of diet and exercise on blood cholesterol levels. The total cholesterol was measured in each subject...
A male student of the author has a measured pulse rate of 52 beats per minute. Based on Data Set 1 in Appendix B, males have a mean pulse rate of 67.3 beats per minute and a standard deviation of...
A hurricane bond pays the holder a face amount, say $1 million, if a hurricane causes major damage in the United States. Suppose that the chance for such a storm is 5% per year. (a) If a financial...