Newell and Jeff are the two barbers in a barber shop they own and operate. They provide two chairs for customers who are waiting to begin a haircut, so the number of customers in the shop varies...
The demand for a product of Carolina Industries varies greatly from month to month. Based on the past two years of data, the following probability distribution shows the companys monthly demand: Unit...
Assume that a third grocery store, Quick Stop Groceries, enters the market share and customer loyalty situation described in Section 17.1. Quick Stop Groceries is smaller than either Murphys...
A restaurant manager is interested in taking a more statistical approach to predicting customer load. She begins the process by gathering data. One of the restaurant hosts or hostesses is assigned to...
A local restaurant is committed to providing its patrons with the best dining experience possible. On a recent survey, the restaurant asked patrons to rate the quality of their entrées....
A national survey of companies included a question that asked whether the company had at least one bilingual telephone operator. The sample results of 90 companies follow (Y denotes that the company...
Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 35...
A belt that is used in a drive mechanism in a copier machine is required to have a minimum tensile strength of LSL = 150 lb. It is known from long experience that = 5 lb for this particular belt....
With a smoothing constant of a = 0.2, equation (5.7) shows that the forecast for week 13 of the gasoline sales data from Table 5.1 is given by y^13 = 0.2y12 1 0.8y^12. However, the forecast for week...
The percentage of patients overdue for a vaccination is often of interest for a medical clinic Some clinics examine every record to determine that percentage; in a large practice, though, taking a...
Assume the life of a packaged magnetic disk exposed to corrosive gases has a Weibull distribution with = 0.5 and the mean life is 600 hours. (a) Determine the probability that a packaged disk lasts...
The program manager for Channel 10 would like to determine the best way to allocate the time for the 11:0011:30 evening news broadcast. Specifically, she would like to determine the number of minutes...
The Coca-Cola Company is the number-one seller of soft drinks in the world. Every day an average of more than 1.6 billion servings of Coca-Cola, Diet Coke, Sprite, Fanta and other products of...
A milk company has four machines that fill gallon jugs with milk. The quality control manager is interested in determining whether the average fill for these machines is the same. The following data...
Repeat the preceding exercise after changing the assumed rate of overturned calls from 30% to 33%. In preceding exercise, In the year that this exercise was written, there were 611 challenges made to...
A random sample of 100 men contained 61 in favor of a state constitutional amendment to retard the rate of growth of property taxes. An independent random sample of 100 women contained 54 in favor of...
An example of the vertical-horizontal illusion is shown in the figure. Although the two lines are exactly the same length, the vertical line appears to be much longer. To examine the strength of this...
Consider the sample space and events in Figure 1.55. Calculate the probabilities of the events: (a) B (b) B © C (c) A ª C (d) A © B © C (e) A ª B ª C (f) Aʹ...
An e-mail message can travel through one of two server routes. The probability of transmission error in each of the servers and the proportion of messages that travel each route are shown in the...
The breaking strength of yarn used in manufacturing drapery material is required to be at least 100 psi. Past experience has indicated that breaking strength is normally distributed and that = 2 psi....
In an analysis of preliminary test results from the XSORT gender selection method, 14 babies are born and it is assumed that 50% of babies are girls, so n = 14 and p = 0.5.
Small-business telephone users were surveyed 6 months after access to carriers other than AT&T became available for wide-area telephone service. Of a random sample of 368 users, 92 said they were...
The AMS technical services team has embarked on a quality improvement effort. Its first project relates to maintaining the target upload speed for its Internet service subscribers. Upload speeds are...
1. Summarize the results of John's analysis in one paragraph that a manager, not a forecaster, can understand. 2. Describe the trend and seasonal effects that appear to be present in the sales data...
A beam is loaded as shown in figure. Use the bisection method to solve for the position inside the beam where there is nomoment. 100 lb 100 Ib/ft - 3' - -3'-
Mick Garcia, a certified financial planner (CFP) has been asked by a client to invest $250,000. This money may be placed in stocks, bonds, or a mutual fund in real estate. The expected return on...
A marketing manager has developed a regression model to predict quarterly sales of his companys mid-weight microfiber jackets based on price and amount spent on advertising. An intern suggests that...
New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night (USA today, April 30, 2012). Assume that room rates are normally distributed with...
Study the following Excel regression output for an analysis attempting to predict the number of union members in the United States by the size of the labor force for selected years over a 30-year...
The following data represent blood glucose levels (mg/100 ml) after a 12-hour fast for a random sample of 70 women (Reference: American Journal of Clinical Nutrition, Vol. 19, pp. 345351). Use the...
Using the DJIA data in Problem 5-39, use exponential smooth with trend adjustment to forecast the opening DJIA value for 2014. Use α = 0.8 and β = 0.2. Compare the MSE for...
The manager at a water park constructed the following frequency distribution to summarize attendance in July andAugust. Attendance ..... Frequency 1,000 up to 1,250 .... 5 1,250 up to 1,500 .... 6...
The file P02_16.xlsx contains traffic data from 256 weekdays on four variables. Each variable lists the number of arrivals during a specific 5-minute period of the day. For this problem, consider...
The file MutualFunds contains a data set with information for 45 mutual funds that are part of the Morningstar Funds 500. The data set includes the following five variables: Fund type: The type of...
Refer to the clustering problem involving the file FBS described in Problem 1. Apply hierarchical clustering with 10 clusters using football stadium capacity, latitude, longitude, endowment, and...
A dapper young decision maker has just purchased a new suit for $200. On the way out the door, the decision maker considers taking an umbrella. With the umbrella on hand, the suit will be protected...
The workload in many areas of bank operations has the characteristics of a non-uniform distribution with respect to time of day. For example, at Chase Manhattan Bank in New York, the number of...
In Maines Pick 4 lottery game, you can pay $1 to select a sequence of four digits, such as 1332. If you select the same sequence of four digits that are drawn, you win and collect $5000. a. How many...
Seat belt use in Michigan in 2012 is estimated at 95%, which means 95% of people use their seat belts. Suppose two independent drivers have been randomly selected. a. What is the probability that...
(a) At what x value does f (x) reach a maximum for a normal distribution N(75, 5)? (b) Does f (x) touch the X-axis at 3?
Three industrial sites are considered for locating manufacturing plants. The plants send their supplies to three customers. The supply at the plants, the demand at the customers, and the unit...
Metalworks, a supplier of fabricated industrial parts, wants to determine if the average output rate for a particular component is the same across the three work shifts. However, since any of four...
A high-tech company purchases a new computing system whose initial value is V. The system will depreciate at the rate f = f (t) and will accumulate maintenance costs at the rate g =g (t), where is...
Standard Pump recently won a $14 million contract with the U.S. Navy to supply 2000 custom-designed submersible pumps over the next four months. The contract calls for the delivery of 200 pumps at...
A study investigated survival rates for in-hospital patients who suffered cardiac arrest. Among 58,593 patients who had cardiac arrest during the day, 11,604 survived and were discharged. Among...
A machine that fills shipping containers with driveway filler mix is set to deliver a mean fill weight of 70.0 pounds. The standard deviation of fill weights delivered by the machine is known to be...
The company in Exercise 40 contacts 600 people selected at random, and only 133 remember the ads a) Should the company renew the contract? Support your recommendation with an appropriate test. b)...
The sine integral function is important in electrical engineering. [The integrand f (t) = (sin t) / t is not defined when t = 0, but we know that its limit is 1 when t → 0. So we define f (0) =...
A seasonal index may be less than one, equal to one, or greater than one. Explain what each of these values would mean.
Draw the primary and supplementary OC curves for a double-sampling plan with n1 = 50, c1 = 2, n2 = 100, and c2 = 6. If the incoming lots have fraction nonconforming p = 0.05, what is the probability...
The conventional algorithm for evaluating a polynomial anxn + an1xn1 + +a1x + a0 at x = c can be expressed in pseudocode by procedure polynomial(c, a0, a1, . . . , an: real numbers) power := 1 y :=...
The shear strengths of 100 spot welds in a titanium alloy follow. Construct a stem-and-leaf diagram for the weld strength data and comment on any important features that you notice. 5408 5431 5475...
The table gives the number of yeast cells in a new laboratory culture. (a) Plot the data and use the plot to estimate the carrying capacity for the yeast population. (b) Use the data to estimate the...
In the fiscal year that ended September 30, 2008, there were 24,584 age-discrimination claims filed with the Equal Employment Opportunity Commission, an increase of 29% from the previous year (The...
Some fast-food chains offer a lower-priced combination meal in an effort to attract budget-conscious customers. One chain test-marketed a burger, fries and a drink combination for $1.71.The weekly...
Although you might suspect that dissatisfied people would be the most likely individuals to participate in political activities in an attempt to change things, research tends to show just the...
According to Cerulli Associates of Boston, 30% of all CPA financial advisors have an average client size between $500, 000 and $1 million. Thirty-four percent have an average client size between $1...
Indicate whether each of the following statements specify descriptive statistics ( because it describes sets of actual observations) or inferential statistics ( because it generalizes beyond sets of...
(a) The curve with equation y2 = 5x4 x2 is called a kampyle of Eudoxus. Find an equation of the tangent line to this curve at the point (1, 2). (b) Illustrate part (a) by graphing the curve and the...
The personnel department of a certain industrial firm used 12 subjects in a study to determine the relationship between job performance rating (y) and scores of four tests. The data are as follows:...
Use the single-server drive-up bank teller operation referred to in Problems 13 to determine the probabilities of 0, 1, 2, and 3 customers in the system. What is the probability that more than three...
A billing company that collects bills for doctors offices in the area is concerned that the percentage of bills being paid by Medicare has risen. Historically, that percentage has been 31%. An...
A record store owner finds that 20% of customers entering her store make a purchase. One morning 180 people, who can be regarded as a random sample of all customers, enter the store. a. What is the...
Indicate whether each of the following studies is an experiment or an observational study. If it is an experiment, identify the independent variable and note any possible confounding variables. (a) A...
The article mentioned in Problem 7.28 reported that the stock market in China had a mean return of 3.17% in 2013. Assume that the returns for stocks on the Chinese stock market were distributed...
From his statistics grades, Guchi has aX of 60 and SX = 20. Pluto has aX of 60 and SX = 5. (a) Who is the more inconsistent student, and why? (b) Who is more accurately described as a 60 student, and...
An article in Solid State Technology (May 1987) describes an experiment to determine the effect of C2F6 flow rate on etch uniformity on a silicon wafer used in integrated-circuit manufacturing. Three...
Football player Tom Brady completes a pass 63.7% of the time. Find the probability that (a) The first pass he completes is the second pass, (b) The first pass he completes is the first or second...
You have been hired to help Mary with her forecasting problem. Write her a memo that summarizes her efforts to date and that recommends a course of action to her. Be sure your memo addresses the...
Examine the LP formulation in Problem 7-29. The problems second constraint reads 6X + 4Y 24 hours (time available on machine 2) If the firm decides that 36 hours of time can be made available on...
The Brennan Aircraft Division of TLN Enterprises operates a large number of computerized plotting machines. For the most part, the plotting devices are used to create line drawings of complex wing...
A population proportion is .58. Suppose a random sample of 660 items is sampled randomly from this population. a. What is the probability that the sample proportion is greater than .60? b. What is...
Ray Anderson, owner of Anderson Ski Lodge in upstate New York, is interested in forecasting the number of visitors for the upcoming year. The following data are available, by quarter, from the first...
A politician claims that he is supported by a clear majority of voters. In a recent survey, 24 out of 40 randomly selected voters indicated that they would vote for the politician. Is the politicians...
Solve the decision tree in Figure 4.44. A1 S8 SO 027 A2 $15 0.73 0.45 $10 S0
Construct a frequency table for the weights (in pounds) given below of 36 cans of regular Coke. Start the first bin at 0.7900 pound and use a bin width of 0.0050 pound. Discuss your findings. 0.8192...
The data in FERTIL2.RAW includes, for women in Botswana during 1988, information on number of children, years of education, age, and religious and economic status variables. (i) Estimate the model...
Soft tissue follows an exponential deformation behavior in uniaxial tension while it is in the physiologic or normal range elongation. This can be expressed as
Tim Cooper plans to invest money in a mutual fund that is tied to one of the major market indices, either the S&P 500 or the Dow Jones Industrial Average. To obtain even more diversification, Tim has...
The closing stock price for each of two stocks was recorded over a 12-month period. The closing price for the Dow Jones Industrial Average (DJIA) was also recorded over this same time period. These...
A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited the salon were 40, 30, 28, 22, 36, 16, and 50. It can be assumed that...
A restaurant chain routinely surveys its customers. Among other questions, the survey asks each customer whether he or she would return and to rate the quality of food. Summarizing hundreds of...
The Sweet Tooth Candy Company knows it will need 10 tons of sugar six months from now to implement its production plans. Jean Dobson, Sweet Tooths purchasing manager, has essentially two options for...
In a recent poll, the Gallup Organization found that 45% of adult Americans believe that the overall state of moral values in the United States is poor. (a) Compute the mean and standard deviation of...
In 1986, the New York City subway fare cost $1, and as of this writing, it now costs $2, so the price doubled. In the accompanying graph, the $2 bill is twice as long and twice as tall as the $1...
Seasons Pizza recently hired additional drivers and as a result now claims that its average delivery time for orders is under 45 minutes. A sample of 30 customer deliveries was examined, and the...
Two types of defects are observed in the production of integrated circuit boards. It is estimated that 6% of the boards have solder defects and 3% have some surface-finish defects. The occurrences of...
In Born together-Reared apart: the Landmark Minnesota twin study (2012), Nancy Segal discusses the efforts of research psychologists at the University of Minnesota to understand similarities and...
The yield of a chemical process is being studied. From previous experience yield is known to be normally distributed and = 3. The past five days of plant operation have resulted in the following...
An article in the ASCE Journal of Energy Engineering (Overview of Reservoir Release Improvements at 20 TVA Dams, Vol. 125, April 1999, pp. 117) presents data on dissolved oxygen concentrations in...
Find the potential between two infinite coaxial cylinders of radii r 1 and r 2 having potentials U 1 and U 2 , respectively. Find the complex potential. r 1 = 0.5 r 2 = 2.0, U 1 = 110V, U 2 = 110 V.
Suppose that the regression model is yi = + xi + i, where the disturbances i have f (i) = (1/) exp (i), i 0. This model is rather peculiar in that all the disturbances are assumed to be positive....
Records show that 5% of all college students are foreign students who also smoke. It is also known that 50% of all foreign college students smoke. What percent of the students at this university are...
A national survey indicated that 30% of adults conduct their banking online. It also found that 40% are under the age of 50, and that 25% are under the age of 50 and conduct their banking online. a)...
Brian looked up prices of thirteen used Chevrolet HHR "retro" trucks in the classified ads and found these prices: $8,500, $8,500, $8,500, $9,900, $10,800, $10,800, $11,000, $12,500, $12,500,...
Find all 2 x 2 matrices A = [ajk], B = [bjk], C = [cjk] and general scalar.
The probability that a student pilot passes the written test for a private pilot's license is 0.7. Find the probability that the student will pass the test (a) On the third try; (b) Before the fourth...
Suppose that a certain brand of light bulb has a mean life of 600 hours and a standard deviation of 53 hours. (a) A histogram of the data indicates the sample data follow a bell-shaped distribution....
The company in Exercise 13 performed another experiment in which they tested three website designs to see which one would lead to the highest probability of purchase. The first (design A) used...
Part 1 Even after the recent public experiment about cereal box weights, Consumers Concerned About Cereal Cheaters (CCACC) remains convinced that Oxford Cereals has misled the public. The group has...