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Questions and Answers of
Statistics
Thetis Mfg. says that its outboard watercraft engine's noise level at 75 percent throttle averages 100 decibels or less from the operator's seating position. A random sample of 8 noise level
In a major football conference, a sample showed that only 267 out of 584 freshmen players graduated within 6 years.(a) At α = .05, does this sample contradict the claim that at least half graduate
Sarpedon Corp. claims that its car batteries average at least 880 CCA (cold-cranking amps). Tests on a sample of 9 batteries yield a mean of 871 CCA with a standard deviation of 15.6 CCA.(a) State
eShopNet, an online clothing retailer, is testing a new e-mail campaign by sending one version of the e-mail with the word "free" in the subject line (version A) to a group of 1500 customers and
A study revealed that the 30-day readmission rate was 31.5 percent for 400 patients who received after-hospital care instructions (e.g., how to take their medications) compared to a readmission rate
In San Francisco, a sample of 3,200 wireless routers showed that 1,312 used encryption (to prevent hackers from intercepting information). In Seattle, a sample of 1,800 wireless routers showed that
In 2009 Noodles & Company introduced spaghetti and meatballs to their menu. Before putting it on the menu, they performed taste tests to determine the best-tasting spaghetti sauce. In a paired
A retailer compared the frequency of customer merchandise returns at two locations. Last month, store A had 57 returns on 760 purchases, while store B had 62 returns on 1,240 purchases. At α = .01,
Streeling University surveyed a random sample of employees to estimate the frequency of sexually inappropriate comments they had heard at work during the last month. 32 of 80 respondents said they
The Fischer Theatre compared attendance at its Saturday and Sunday matinee performances of a major Broadway musical. At α = .05, is the Sunday matinee attendance significantly greater than the
Random samples of tires being replaced by a car dealer showed the tire life (miles) below, based on whether or not the owner had checked once a month for recommended tire inflation. Use α = .05 in
Interpret the slope. Does the intercept have meaning, given the range of the data? Instructions: Choose one or more of the data sets A-J below, or as assigned by your instructor. The first column is
Consider the following Excel regression of perceived sound quality as a function of price for 27 stereo speakers.(a) Is the coefficient of Price significantly different from zero at α = .05?(b)
A random sample of California residents who had recently visited a car dealership were asked which type of vehicle they were most likely to purchase, with the results shown. Research question: At α
In the World Cup tournaments between 1990 and 2002, there were 232 games with the distribution of goals shown in this worksheet. Research question: At α = .025, can you reject the hypothesis that
Is HDTV ownership related to quantity of purchases of other electronics? A Best Buy retail outlet collected the following data for a random sample of its recent customers. Research question: At α =
Identify three common quality improvement programs and give their acronyms.
Why is the quality improvement process never-ending? Identify the steps of one improvement cycle identified in the textbook.
Why are the control limits for an R chart asymmetric, while those of an x̅ chart are symmetric?
Explain the difference between SQC and SPC.
Read the referenced article that fully describes the management science study summarized in the application vignette presented in Section 1.3. Summarize the five major reasons given for why
Read the referenced article that fully describes the management science study summarized in the application vignette presented in Section 1.3. Summarize the five major reasons given for why
The Best-for-Less Corp. supplies its two retail outlets from its two plants. Plant A will be supplying 30 shipments next month. Plant B has not yet set its production schedule for next month but has
Reconsider the Special Products Company problem presented in Section 1.2.Although the company is well qualified to do most of the work in producing the iWatch, it currently lacks much expertise in
a. Assuming that all clocks produced are sold, develop a spreadsheet model for estimating the profit or loss from producing any particular number of clocks. b. Use this spreadsheet to find the
You are given the following linear programming model in algebraic form, with x1 and x2 as the decision variables and constraints on the usage of four resources:Maximize Profit = 2x1 + x2Subject tox2
Reconsider the Wyndor Glass Co. case study introduced in Section 2.1. Suppose that Bill Tasto (Wyndor's vice president for manufacturing) now has found a way to provide a little additional production
Read the referenced article that fully describes the management science study summarized in the application vignette presented in Section 2.1. Briefly describe how linear programming was applied in
The Apex Television Company has to decide on the number of 27" and 20" sets to be produced at one of its factories. Market research indicates that at most 40 of the 27" sets and 10 of the 20" sets
The World-Light Company produces two light fixtures (Products 1 and 2) that require both metal frame parts and electrical components. Management wants to determine how many units of each product to
Use Risk Solver Platform for Education to formulate and solve the model shown in Problem 2.13 in a spreadsheet.Refer to problem 2.13You are given the following linear programming model in algebraic
Because of your knowledge of management science, your boss has asked you to analyze a product mix problem involving two products and two resources. The model is shown below in algebraic form, where
Use Risk Solver Platform for Education to formulate and solve the model shown in Problem 2.15 in a spreadsheet? Refer to problem 2.15 Because of your knowledge of management science, your boss has
Independently consider each of the following changes in the Wyndor problem. In each case, apply the graphical method by hand to this new version of the problem, describe your conclusion, and then
Do Problem 2.17 by using the Graphical Linear Programming and Sensitivity Analysis module in your Interactive Management Science Modules?
Weenies and Buns is a food processing plant that manufactures hot dogs and hot dog buns. They grind their own flour for the hot dog buns at a maximum rate of 200 pounds per week. Each hot dog bun
Reconsider the Wyndor Glass Co. case study introduced in Section 2.1. Suppose that the estimates of the unit profits for the two new products now have been revised to $600 for the doors and $300 for
The Oak Works is a family-owned business that makes handcrafted dining room tables and chairs. They obtain the oak from a local tree farm, which ships them 2,500 pounds of oak each month. Each table
Read the referenced article that fully describes the management science study summarized in the application vignette presented in Section 2.6. Briefly describe how linear programming was applied in
Nutri-Jenny is a weight-management center. It produces a wide variety of frozen entrées for consumption by its clients. The entrées are strictly monitored for nutritional content to
Ralph Edmund loves steaks and potatoes. Therefore, he has decided to go on a steady diet of only these two foods (plus some liquids and vitamin supplements) for all his meals. Ralph realizes that
Dwight is an elementary school teacher who also raises pigs for supplemental income. He is trying to decide what to feed his pigs. He is considering using a combination of pig feeds available from
Reconsider the Profit & Gambit Co. problem described in Section 2.6. Suppose that the estimated data given in Table 2.2 now have been changed as shown in the table that accompanies this
You are given the following linear programming model in algebraic form, with x1 and x2 as the decision variables:Minimize Cost = 40x1 + 50x2Subject toConstraint 1: 2x1 + 3x2 ( 30Constraint 2: x1 + x2
The Learning Center runs a day camp for 6-10 year olds during the summer. Its manager, Elizabeth Reed, is trying to reduce the center's operating costs to avoid having to raise the tuition fee.
Reconsider the Wyndor Glass Co. case study introduced in Section 2.1. Suppose that Bill Tasto (Wyndor's vice president for manufacturing) now has found a way to provide a little additional production
"This is your lucky day. You have just won a $20,000 prize. You are setting aside $8,000 for taxes and partying expenses, but you have decided to invest the other $12,000. Upon hearing this news, two
You are given the following linear programming model in algebraic form, where x1 and x2 are the decision variables and Z is the value of the overall measure of performance. Maximize Z = x1 +
You are given the following linear programming model in algebraic form, where x1 and x2 are the decision variables and Z is the value of the overall measure of performance.Maximize Z = 3x1 +
The Whitt Window Company is a company with only three employees that makes two different kinds of handcrafted windows: a wood-framed and an aluminum framed window. They earn $60 profit for each
a. Formulate and solve a linear programming model to determine the number of Family Thrillseekers and the number of Classy Cruisers that should be assembled.Before she makes her final production
a. Determine the amount of potatoes and green beans Maria should purchase each week for the casserole to minimize the ingredient costs while meeting nutritional, taste, and demand requirements.Before
a. How many Spanish-speaking operators and how many English-speaking operators does the hospital need to staff the call center during each two-hour shift of the day in order to answer all calls?
a. Formulate a linear programming model to minimize costs while meeting all survey constraints imposed by AmeriBank.b. If the profit margin for Sophisticated Surveys is 15 percent of cost, what bid
a. Formulate and solve a linear programming model for this problem.b. What is your resulting recommendation to the school board?After seeing your recommendation, the school board expresses concern
a. Formulate this problem in linear programming terms by identifying all the activities, resources, benefits, and fixed requirements that lurk within it.b. Formulate and solve a spreadsheet model for
a. Given the bids, you need to assign one senior scientist to each of the five projects to maximize the preferences of the scientists. What are the assignments?b. Dr. Rollins is being courted by
Read the referenced article that fully describes the management science study summarized in the application vignette presented in Section 4.3. Briefly describe how spreadsheet modeling was applied in
Decorum, Inc., manufactures high-end ceiling fans. Their sales are seasonal with higher demand in the warmer summer months. Typically, sales average 400 units per month. However, in the hot summer
Allen Furniture is a manufacturer of hand-crafted furniture. At the start of January, Allen employs 20 trained craftspeople. They have forecasted their labor needs over the next 12 months as shown in
Consider the Big M Co. problem presented in Section 3.5, including the spreadsheet in Figure 3.10 showing its formulation and optimal solution.There is some uncertainty about what the unit costs will
Consider the Think-Big Development Co. problem presented in Section 3.2, including the spreadsheet in Figure 3.3 showing its formulation and optimal solution. In parts a-g, use the spreadsheet and
Reconsider the Profit & Gambit Co. advertising-mix problem presented in Section 2.7. Recall that a major advertising campaign is being planned that will focus on three key products: a stain
The Nori & Leets Co. is one of the major producers of steel in its part of the world. It is located in the city of Steel-town and is the only large employer there. Steel-town has grown and
The Ploughman family owns and operates a 640-acre farm that has been in the family for several generations. The Ploughmans always have had to work hard to make a decent living from the farm and have
Reconsider Case 3-5. The Springfield School Board still has the policy of providing busing for all middle school students who must travel more than approximately a mile. Another current policy is to
Consider the Super Grain Corp. case study as presented in Section 3.1, including the spreadsheet in Figure 3.1 showing its formulation and optimal solution. Use Solver to generate the sensitivity
University Ceramics manufactures plates, mugs, and steins that include the campus name and logo for sale in campus bookstores. The time required for each item to go through the two stages of
Ken and Larry, Inc., supplies its ice cream parlors with three flavors of ice cream: chocolate, vanilla, and banana. Due to extremely hot weather and a high demand for its products, the company has
Colonial Furniture produces hand-crafted colonial style furniture. Plans are now being made for the production of rocking chairs, dining room tables, and/or armoires over the next week. These
Reconsider the Little-town Fire Department problem presented in Section 6.4 and depicted in Figure 6.11.FIGURE 6.11Due to maintenance work on the one-mile road between nodes A and B, a detour
Formulate and solve a spreadsheet model for the maximum flow problem shown at the top of the next column, where node A is the source, node F is the sink, and the arc capacities are the numbers in
a. Draw a network showing the different routes troops and supplies may take to reach the Russian Federation from the United States.b. Moscow and Washington do not know when Commander Votachev will
a. To simplify the analysis, assume for now that there is virtually no turnaround time between flights so the next flight can begin as soon as the current flight ends. (If an immediate next flight is
Read the referenced article that fully describes the management science study summarized in the application vignette presented in Section 6.1. Briefly describe how the model for a special type of
Read the referenced article that fully describes the management science study summarized in the application vignette presented in Section 6.4. Briefly describe how network optimization models
Reconsider Problem 6.5. Suppose now that, for administrative convenience, management has decided that all 130 units per month needed at the distribution center in Los Angeles must come from the
Consider the maximum flow problem formulated in Figures 6.7 and 6.8 for the BMZ case study. Redraw Figure 6.7 and insert the optimal shipping quantities (cells D4:D12 in Figure 6.8) in parentheses
Read the referenced article that fully describes the management science study summarized in the application vignette presented in Section 6.3. Briefly describe how a generalization of the model for
Noble Amazon sells books online. Management is trying to determine the best sites for the company's warehouses.The five potential sites under consideration are listed in the first column of the table
Aberdeen Computer Corp. (ACC) is located in Aberdeen, Washington. The company has developed the Web-Surfer, a low-cost e-mail and Web-surfing appliance. This product is manufactured at four plants,
The board of directors of General Wheels Co. is considering seven large capital investments. Each investment can be made only once. These investments differ in the estimated long-run profit (net
a. Ash decides to allocate $4 million to fund the exhibit. Given the pieces available and the specific requirements from Ash and Celeste, formulate and solve a binary integer programming problem to
a. Formulate and solve a binary integer programming problem to maximize the total number of kitchen sets (and thus the number of customer orders) Furniture City stocks in the local warehouse. Assume
Reconsider Case 3-5. The Springfield School Board now has made the decision to prohibit the splitting of residential areas among multiple schools. Thus, each of the six areas must be assigned to a
Reconsider part b of Case 6-4. Use the spreadsheet model developed there to incorporate the following consideration.An additional concern not considered in Case 6-4 is that the routers at nodes C and
Read the referenced article that fully describes the management science study summarized in the application vignette presented in Section 7.1. Briefly describe how mixed BIP was applied in this
Reconsider the Southwestern Airways crew scheduling problem presented in Section 7.4. Because of a blizzard in the Chicago area, all the flights into and out of Chicago (including flights 4, 6, 7,
Yakima Construction Corporation (YCC) is considering a number of different development projects. The cash outflows that would be required to complete each project are indicated in the table below,
Read the referenced article that fully describes the management science study summarized in the application vignette presented in Section 7.5. Briefly describe how mixed BIP was applied in this
An electrical utility needs to generate 6,500 megawatts of electricity today. It has five generators. If any electricity is generated by a given generator, that generator must be started up and a
The school board for the Bellevue School District has made the decision to purchase 1,350 additional Macintosh computers for computer laboratories in all its schools. Based on past experience, the
A young couple, Eve and Steven, want to divide their main household chores (marketing, cooking, dishwashing, and laundering) between them so that each has two tasks but the total time they spend on
a. For each of the three advertising media, draw a graph of the number of sales versus the number of advertisements by plotting the sales for the five points provided by Sid Jackowitz and then
a. Formulate a separable programming model to be used in the following parts.b. What is the optimal investment strategy for Charles?c. What is fundamentally wrong with the advice Charles got from the
Barbara Miller makes decisions according to Bayes' decision rule. For her current problem, Barbara has constructed the following payoff table (in units of hundreds of dollars) and she now wishes to
You are given the following decision tree, with the probabilities at event nodes shown in parentheses and with the payoffs at terminal points shown on the right. Analyze this decision tree to obtain
The comptroller of the Macrosoft Corporation has $100 million of excess funds to invest. She has been instructed to invest the entire amount for one year in either stocks or bonds (but not both) and
On Monday, a certain stock closed at $10 per share. On Tuesday, you expect the stock to close at $9, $10, or $11 per share, with respective probabilities 0.3, 0.3, and 0.4. On Wednesday, you expect
The executive search being conducted for Western Bank by Headhunters Inc. may finally be bearing fruit. The position to be filled is a key one-vice president for Information Processing-because this
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