A domestic manufacturer of watches purchases quartz crystals from a Swiss firm. The crystals are shipped in lots of 1000. The acceptance sampling procedure uses 20 randomly selected crystals. a. Construct operating characteristic curves for acceptance numbers of 0, 1, and 2. b. If p0 is .01 and p1 = .08, what are the producer’s and consumer’s risks for each sampling plan in part (a)?
> Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile per gallon is desired, how many automobiles should be used in the test? Assume that preliminary mileage tests indicate the sta
> Obesity is a risk factor for many health problems such as type 2 diabetes, high blood pressure, joint problems, and gallstones. Using data collected in 2018 through the National Health and Nutrition Examination Survey, the National Institute of Diabetes
> The Health Care Cost Institute tracks health care expenditures for beneficiaries under the age of 65 who are covered by employer-sponsored private health insurance. The data contained in the file DrugCost are consistent with the institute’s findings conc
> The Centers for Disease Control and Prevention (CDC) define a healthy sleep duration to be at least seven hours per day. The CDC reports that the percentage of people who report a healthy sleep duration varies by marital status. The CDC also reports that
> The 92 million Americans of age 50 and over control 50 percent of all discretionary income. AARP estimates that the average annual expenditure on restaurants and carryout food was $1873 for individuals in this age group. Suppose this estimate is based on
> A survey conducted by the American Automobile Association showed that a family of four spends an average of $215.60 per day while on vacation. Suppose a sample of 64 families of four vacationing at Niagara Falls resulted in a sample mean of $252.45 per d
> A sample survey of 54 discount brokers showed that the mean price charged for a trade of 100 shares at $50 per share was $33.77. The survey is conducted annually. With the historical data available, assume a known population standard deviation of $15. a.
> In a 2018 study, Phoenix Marketing International identified Bridgeport, Connecticut; San Jose, California; Washington, D.C.; and Lexington Park, Maryland as the four U.S. cities with the highest percentage of millionaires (Kiplinger website, https://www.
> CEOs who belong to a popular business-oriented social networking service have an average of 930 connections. Do other members have fewer connections than CEOs? The number of connections for a random sample of 7,515 members who are not CEOs is provided in
> A sample containing years to maturity and yield for 40 corporate bonds are contained in the file CorporateBonds. a. What is the sample mean years to maturity for corporate bonds and what is the sample standard deviation? b. Develop a 95% confidence inter
> The American Press Institute reports that almost 70% of all American adults use a computer to gain access to news. Based on generational differences, you suspect that the proportion of American adults under 30 years old who use a computer to gain access
> Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In particular, the Centers of Disease Control and Prevention have launched studies of drug-resistant gonorrhea (CDC.gov). Of 142 c
> A large automobile insurance company selected samples of single and married male policyholders And recorded the number who made an insurance claim over the preceding three-year period. Single Policyholders …………………………….. Married Policyholders n1 = 400 ……
> Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. A recent sample of 1000 adults showed 410 indicating that their financial security was more than fa
> In Born Together—Reared Apart: The Landmark Minnesota Twin Study (http://www.hup.harvard.edu/catalog.php?isbn=9780674055469), Nancy Segal discusses the efforts of research psychologists at the University of Minnesota to understand simil
> The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are as follows. a. Develop a point estimate of the differ
> Mutual funds are classified as load or no-load funds. Load funds require an investor to pay an initial fee based on a percentage of the amount invested in the fund. The no-load funds do not require this initial fee. Some financial advisors argue that the
> Statista reports that the average monthly lease payment for an automobile is falling in the United States (Statista.com), but does this apply to all classes of automobiles? Suppose you are interested in whether this trend is true for sport utility vehicl
> Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is considering two designs. Tests on customer checkout times conducted at two stores where the two new systems have been installed result in the follow
> A salesperson makes four calls per day. A sample of 100 days gives the following frequencies of sales volumes. Number of Sales ………………
> The Federal Government wants to determine if the mean number of business emails sent and received per business day by its employees differs from the mean number of emails sent and received per day by corporate employees, which is 101.5. Suppose the depar
> A random sample of final examination grades for a college course follows. Use α = .05 and test to determine whether a normal probability distribution should be rejected as being representative of the population distribution of grades.
> Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus (New York Daily News, http://www.nydailynews.com/autos/street-smarts/best-selling-small-cars-2016-l
> In an effort to make better use of its resources, the New York City Food Bank engaged in lean process improvement. This employee-driven kaizen effort resulted in a new method for packing meals for distribution to needy families. One goal of the process i
> Stable cost reporting in a manufacturing setting is typically a sign that operations are running smoothly. The accounting department at Rockwell Collins, an avionics manufacturer, analyzes the variance of the weekly costs reported by two of its productio
> The grade point averages of 352 students who completed a college course in financial accounting have a standard deviation of .940. The grade point averages of 73 students who dropped out of the same course have a standard deviation of .797. Do the data i
> Is there any difference in the variability in golf scores for players on the LPGA Tour (the women’s professional golf tour) and players on the PGA Tour (the men’s professional golf tour)? A sample of 20 tournament scores from LPGA events showed a standar
> Passenger Volume on Allegiant Airlines. A sample standard deviation for the number of passengers taking a particular Allegiant Airlines flight is 8. A 95% confidence interval estimate of the population standard deviation is 5.86 passengers to 12.62 passe
> A sample of 9 days over the past six months showed that Philip Sherman, DDS, treated the following numbers of patients at his dental clinic: 22, 25, 20, 18, 15, 22, 24, 19, and 26. If the number of patients seen per day is normally distributed, would an
> OrderUp is a service that delivers food that its customers order online from participating restaurants. OrderUp claims consistent delivery times for its deliveries. A sample of 22 meal deliveries shows a sample variance of 1.5. Test to determine whether
> Filling boxes with consistent amounts of its cereals is critical to General Mills’s success. The filling variance for boxes of Count Chocula cereal is designed to be .02 ounces2 or less. A sample of 41 boxes of Count Chocula shows a sample standard devia
> An automobile mileage study tested the following hypotheses. Hypothesis …………………………………………………………………………………………….. Conclusion H0: µ ≥ 25 mpg ………………………………………………………… Manufacturer’s claim supported Ha: µ < 25 mpg ………………………………… Manufacturer’s claim rejected; ave
> Ball bearing manufacturing is a highly precise business in which minimal part variability is critical. Large variances in the size of the ball bearings cause bearing failure and rapid wearout. Production standards call for a maximum variance of .0001 inc
> According to the 2017 Corporate Travel Index compiled by Business Travel News, the average daily cost for business travel in the United States rose to $321 per day (Executive Travel website, https://executivetravel.com/new-business-travel-study-says-aver
> Initial public offerings (IPOs) of stocks are on average underpriced. The standard deviation measures the dispersion, or variation, in the underpricing-overpricing indicator. A sample of 13 Canadian IPOs that were subsequently traded on the Toronto Stock
> 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 days of operation shows a sample mean of 290 rooms occup
> Suppose on average a male shaver in Year 1 bought one razor handle and used 17 razor blades in a year and that the price relatives for Year 1 to Year 11 are as appears in the following table. Develop a Male Shaver Expense Index based on weighted price re
> Embassy Publishing Company received a sixchapter manuscript for a new college textbook. The editor of the college division is familiar with the manuscript and estimated a .65 probability that the textbook will be successful. If successful, a profit of $7
> Hemmingway, Inc. is considering a $50 million research and development (R&D) project. Profit projections appear promising, but Hemmingway’s president is concerned because the probability that the R&D project will be successful i
> Warren Lloyd is interested in leasing a new car and has contacted three automobile dealers for pricing information. Each dealer offered Warren a closed-end 36-month lease with no down payment due at the time of signing. Each lease includes a monthly char
> An airline operates a call center to handle customer questions and complaints. The airline monitors a sample of calls to help ensure that the service being provided is of high quality. Ten random samples of 100 calls each were monitored under normal cond
> Over several weeks of normal, or in-control, operation, 20 samples of 150 packages each of synthetic-gut tennis strings were tested for breaking strength. A total of 141 packages of the 3000 tested failed to conform to the manufacturer’s specifications.
> Young Adult magazine states the following hypotheses about the mean age of its subscribers. H0: µ = 28 Ha: µ ≠ 28 If the manager conducting the test will permit a .15 probability of making a Type II error when the true mean age is 29, what sample size sh
> The Goodman Tire and Rubber Company periodically tests its tires for tread wear under simulated road conditions. To study and control the manufacturing process, 20 samples, each containing three radial tires, were chosen from different shifts over severa
> A quality control process monitors the weight per carton of laundry detergent. Control limits are set at UCL = 20.12 ounces and LCL = 19.90 ounces. Samples of size 5 are used for the sampling and inspection process. What are the process mean and process
> Temperature is used to measure the output of a production process. When the process is in control, the mean of the process is µ = 128.5 and the standard deviation is σ = .4. a. Construct the x chart for this process if samples of
> A process sampled 20 times with a sample of size 8 resulted in x̅ = 28.5 and R̅ = 1.6. Compute the upper and lower control limits for the x̅ and R charts for this process.
> Twenty-five samples of 100 items each were inspected when a process was considered to be operating satisfactorily. In the 25 samples, a total of 135 items were found to be defective. a. What is an estimate of the proportion defective when the process is
> Twenty-five samples, each of size 5, were selected from a process that was in control. The sum of all the data collected was 677.5 pounds. a. What is an estimate of the process mean (in terms of pounds per unit) when the process is in control? b. Develop
> To inspect incoming shipments of raw materials, a manufacturer is considering samples of sizes 10, 15, and 19. Use the binomial probabilities from Table 5 of Appendix B to select a sampling plan that provides a producer’s risk of α = .03 when p0 is .05 a
> Refer to the KALI problem presented in this section. The quality control manager requested a producer’s risk of .10 when p0 was .03 and a consumer’s risk of .20 when p1 was .15. Consider the acceptance sampling plan based on a sample size of 20 and an ac
> Repeat exercise 11 for the acceptance sampling plan with η = 20 and c = 1. What happens to the producer’s risk as the acceptance number c is increased? Explain Exercise 11: Consider an acceptance sampling plan with η = 20 and c = 0. Compute the producer
> A special industrial battery must have a life of at least 400 hours. A hypothesis test is to be conducted with a .02 level of significance. If the batteries from a particular production run have an actual mean use life of 385 hours, the production manage
> Consider an acceptance sampling plan with η = 20 and c = 0. Compute the producer’s risk for each of the following cases. a. The lot has a defect rate of 2%. b. The lot has a defect rate of 6%.
> For an acceptance sampling plan with η = 25 and c = 0, find the probability of accepting a lot that has a defect rate of 2%. What is the probability of accepting the lot if the defect rate is 6%?
> A process that is in control has a mean of µ = 12.5 and a standard deviation of σ = .8. a. Construct the x̅ control chart for this process if samples of size 4 are to be used. b. Repeat part (a) for samples of sizes 8 and 16. c. What happens to the limit
> An investment portfolio consists of four stocks. The purchase price, current price, and number of shares are reported in the following table. Construct a weighted average of price relatives as an index of the performance of the portfolio to date. Inter
> Compute the price relatives for the R&B Beverages products in exercise 5. Use a weighted average of price relatives to show that this method provides the same index as the weighted aggregate method. Exercise 5: R&B Beverages, Inc., provides a co
> The Mitchell Chemical Company produces a special industrial chemical that is a blend of three chemical ingredients. The beginning-year cost per pound, the ending-year cost per pound, and the blend proportions follow. a. Compute the price relatives for
> Price relatives for three items, along with base-period prices and usage, are shown in the following table. Compute a weighted aggregate price index for the current period.
> R&B Beverages, Inc., provides a complete line of beer, wine, and soft drink products for distribution through retail outlets in central Iowa. Unit price data for 2015 and 2018 and quantities sold in cases follow. Compute a weighted aggregate index
> Under the last-in, first-out (LIFO) inventory valuation method, a price index for inventory must be established for tax purposes. The quantity weights are based on year-ending inventory levels. Use the beginning-of-the-year price per unit as the base-per
> Fastenal, the largest fastener distributor in North America, procures an identical drive anchor from three independent suppliers that differ in unit price and quantity supplied. The relevant data for 2016 and 2018 are given in the following table, where
> Suppose the project director for the Hilltop Coffee study (see Section 9.3) asked for a .10 probability of claiming that Hilltop was not in violation when it really was underfilling by 1 ounce (µa = 2.9375 pounds). What sample size would have been recomm
> An item with a price relative of 132 cost $10.75 in 2018. Its base year was 2001. a. What was the percentage increase or decrease in cost of the item over the 17-year period? b. What did the item cost in 2001?
> An automobile dealer reports the Year 1 and Year 8 sales for three models in the following table. Compute quantity relatives and use them to develop a weighted aggregate quantity index for Year 8 using the two years of data.
> Heartland Express handles four commodities for a particular distributor. Total shipments for the commodities in the years 2000 and 2015, as well as the prices in the year 2000, are reported in the following table. Develop a weighted aggregate quantity
> Data on quantities of three items sold in Year 1 and Year 5 are given here along with the sales prices of the items in Year 1. Compute a weighted aggregate quantity index for Year 5.
> In 2017, Google’s revenue broke $100 billion for the first time. The revenue for Google for the years 2010–2017 is shown in the following table (Statista website). Deflate the revenue in dollars based on the CPI (1982&
> Shipments of product from manufacturer to the retailer are tracked by the U.S. Census Bureau. The values of shipments for computer and electronic products for three consecutive years are shown in the table below, along with the CPI and PPI for each of th
> The average hourly wage rate for construction laborers in 2001 was $13.36. In 2017 construction laborers made $18.70 per hour. The CPI for 2001 was 177.1 and for 2017, 245.1. Calculate the percentage change in real hourly wages from 2001 to 2017.
> Registered nurses in 2007 made an average hourly wage of $30.04. In 2017, their hourly wage had risen to $35.36. Given that the CPI for 2007 was 207.3 and the 2017 CPI was 245.1, answer the following. a. Give the real wages for registered nurses for 2007
> The following table reports prices and usage quantities for two items in 2016 and 2018. a. Compute price relatives for each item in 2018 using 2016 as the base period. b. Compute an unweighted aggregate price index for the two items in 2018 using 2016
> In 2017, the American Red Cross had to make decisions related to preparations for Hurricane Irma, which was threatening the United States, including the state of Florida, Puerto Rico, and the U.S. Virgin Islands. To prepare for such disasters, organizati
> Consider the following hypothesis test. H0: µ = 20 Ha: µ ≠ 20 The population standard deviation is 10. Use α = .05. How large a sample should be taken if the researcher is willing to accept a .05 probability of making a Type II error when the actual popu
> Consider a variation of the PDC decision tree shown in Figure 19.5. The company must first decide whether to undertake the market research study. If the market research study is conducted, the outcome will either be favorable (F) or unfavorable (U). Assu
> The Lake Placid Town Council has decided to build a new community center to be used for conventions, concerts, and other public events, but considerable controversy surrounds the appropriate size. Many influential citizens want a large center that would
> A 2017 survey of sommeliers ranked the Finger Lakes region of New York state as the top wine region to visit (Thrillist web site). Finger Lakes vineyards typically specialize in growing grapes for white wines such as Chardonnay and Riesling. Seneca Hill
> The computer-gaming market in the United States is estimated at $18.5 billion as of 2017 (VentureBeat web site). Consider the case of Video Tech, a computer-gaming company located in San Jose, California. It is considering the production of one of two ne
> Myrtle Air Express decided to offer direct service from Cleveland to Myrtle Beach. Management must decide between a full price service using the company’s new fleet of jet aircraft and a discount service using smaller capacity commuter
> Investment advisors estimated the stock market returns for four market segments: computers, financial, manufacturing, and pharmaceuticals. Annual return projections vary depending on whether the general economic conditions are improving, stable, or decli
> A decision maker faced with four decision alternatives and four states of nature develops the following profit payoff table. The decision maker obtains information that enables the following probabilities assessments: P(s1) = .5, P(s2) = .2, P(s3) = .2
> The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff tab
> To save on expenses, Rona and Jerry agreed to form a carpool for traveling to and from work. Rona preferred to use the somewhat longer but more consistent Queen City Avenue. Although Jerry preferred the quicker expressway, he agreed with Rona that they s
> In the following profit payoff table for a decision problem with two states of nature and three decision alternatives, the prior probabilities for s1 and s2 are P(s1) = .8 and P(s2) = .2. a. What is the optimal decision? b. Find the EVPI. c. Suppose th
> Consider the following hypothesis test. H0: µ ≥ 10 Ha: µ < 10 The sample size is 120 and the population standard deviation is 5. Use α = .05. If the actual population mean is 9, the probability of a Type II error is .2912. Suppose the researcher wants to
> Suppose that you are given a decision situation with three possible states of nature: s1, s2, and s3. The prior probabilities are P(s1) = .2, P(s2) = .5, and P(s3) = .3. With sample information I, P(I | s1) = .1, P(I | s2) = .05, and P(I | s3) = .2. Comp
> Lawson’s Department Store faces a buying decision for a seasonal product for which demand can be high, medium, or low. The purchaser for Lawson’s can order 1, 2, or 3 lots of the product before the season begins but ca
> Martin’s Service Station is considering entering the snowplowing business for the coming winter season. Martin can purchase either a snowplow blade attachment for the station’s pick-up truck or a new heavy-duty snowplo
> More than 500 scripted television series were available for viewing in 2018 (Hollywood Reporter website). New series typically start by producing a pilot episode that can be evaluated by a network before it agrees to pick up the series for production. Ha
> Dante Development Corporation is considering bidding on a contract for a new office building complex. Figure 19.9 shows the decision tree prepared by one of Dante’s analysts. At node 1, the company must decide whether to bid on the cont
> The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. a. Construct a decision tree for this problem. b. Suppose that the decision maker obtains the probabilities P(s1) = .65,
> In a recent poll, six hundred adults were asked a series of questions about the state of the economy and their children’s future. One question was, “Do you expect your children to have a better life than you have had, a worse life, or a life about the sa
> A Pew Research Center survey asked adults if their ideal place to live would have a faster pace of life or a slower pace of life. A preliminary sample of 16 respondents showed 4 preferred a faster pace of life, 11 preferred a slower pace of life, and 1 s
> Are stock splits beneficial to stockholders? SNL Financial studied stock splits in the banking industry over an 18-month period. For a sample of 20 stock splits, 14 led to an increase in investment value, 4 led to a decrease in investment value, and 2 re
> The median annual income for families living in the United States is $56,200. Annual incomes in thousands of dollars for a sample of 50 families living in Chicago, Illinois, are shown. Use the sample data to see if it can be concluded that the families l
> Sparr Investments, Inc., specializes in tax-deferred investment opportunities for its clients. Recently Sparr offered a payroll deduction investment program for the employees of a particular company. Sparr estimates that the employees are currently avera
> In 2015 the median price of homes in Austin, Texas, was $248,640 (AustinHomeSearch website). A sample of 200 homes sold in the south Austin suburb of Westlake Hills found 111 homes with sales prices over $248,640 and 89 homes with sales prices under $248
> Net assets for the 50 largest stock mutual funds show a median of $15 billion. A sample of 10 of the 50 largest bond mutual funds follows. Using the median, can it be concluded that bond mutual funds are smaller and have fewer net assets than stock mu
> A student organization surveyed both current students and recent graduates to obtain information on the quality of teaching at a particular university. An analysis of the responses provided the following teaching-ability rankings. Do the rankings given b
