Six different machines are being considered for use in manufacturing rubber seals. The machines are being compared with respect, to tensile strength of the product. A random sample of 4 seals from...

Investment analysts generally believe the interest rate on bonds is inversely related to the prime interest rate for loans; that is, bonds perform well when lending rates are down and perform poorly...

In a multiple regression equation, k = 5 and n = 20, the MSE value is 5.10, and SS total is 519.68. At the .05 significance level, can we conclude that any of the regression coefficients are not...

a. A statistics practitioner wants to test the following hypotheses: H0: p = .70 H1: p > .70 A random sample of 100 produced p = .73. Calculate the p-value of the test. b. Repeat part (a) with p =...

A hospital conducted a study of the waiting time in its emergency room. The hospital has a main campus and three satellite locations. Management had a business objective of reducing waiting time for...

Perfect pitch is the ability to identify musical notes correctly without hearing another note as a reference. The probability that a randomly chosen person has perfect pitch is .0005. (a) If 20...

A review of emergency room records at rural Millard Fell more Memorial Hospital was performed to determine the probability distribution of the number of patients entering the emergency room during a...

A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a way that each player receives 13 cards, what is the probability that each...

United Manufacturing and Supply makes sprinkler valves for use in residential sprinkler systems. United supplies these valves to major companies such as Rain Bird and Nelson, who in turn sell...

This frequency distribution represents the commission earned (in dollars) by 100 salespeople employed at several branches of a large chain store. Class limits Frequency 150158 .......5 159167...

A survey indicates that it is important to pay attention to truth in political advertising. Based on a survey of 1200 people, 35% indicated that they found political advertisements to be untrue; 60%...

Stockbroker Susan Drexler has advised her client as shown in the following table. The client agrees to this list but provides several conditions: (1) No more than $3,000,000 can be invested, (2) the...

In 2011, the website NewGeography .com listed its ranking of the best cities for job growth in the United States. Here is the magazine's top 20 larger cites, along with their weighted job rating...

Is there a generation gap in the type of music that people listen to? The following table represents the type of favorite music for a sample of 1,000 respondents classified according to their age...

Consider the staffing situation faced by the Gaubert Marketing Company in Problem 6-15. Ignore the salary and part-time information given in part (b) of that problem. Develop a schedule that meets...

Show that if A is 2 ( 2, then Theorem 8 gives the same formula for A-1 as that given by Theorem 4 in Section 2.2?

The time between calls to a corporate office is exponentially distributed with a mean of 10 minutes. (a) What is the probability that there are more than three calls in one-half hour? (b) What is the...

The American Community Survey showed that residents of New York City have the longest travel times to get to work compared to residents of other cities in the United States (U.S. Census Bureau...

The customer service department for a wholesale electronics outlet claims that 90 percent of all customer complaints are resolved to the satisfaction of the customer. In order to test this claim, a...

A study of the number of business lunches that executives in the insurance and banking industries claim as deductible expenses per month was based on random samples and yielded the following results:...

Teens were asked in the MTF 2012 survey to report their level of happiness (how are things these days?). The bivariate table includes responses organized by teen's race. Based on an alpha of .05,...

Suppose the amount of liquid dispensed by a certain machine is uniformly distributed with lower limit A = 8 oz and upper limit B = 10 oz. Describe how you would carry out simulation experiments to...

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...

Determine the covariance and correlation for X1 and X2 in the joint distribution of the multinomial random variables X1, X2 and X3 in with p1 = p2 = p3 = 1/3 and n = 3. What can you conclude about...

Describe how expected activity times and variances can be computed in a PERT network.

The estimated times (in weeks) and immediate predecessors for the activities in a project are given in the following table. Assume that the activity times are independent. (a) Calculate the expected...

A national survey conducted by Pew Research asked a random sample of 974 American adults how they felt about doing their taxes. The responses are: 1 = Love it, 2 = Like it, 3 = Neither like nor...

The website for the Bed and Breakfast Inns of North America gets approximately seven visitors per minute. Suppose the number of website visitors per minute follows a Poisson probability distribution....

The Schutzberg Brewery has received an order for 1,500 gallons of 3-percent beer (that is, 3 percent alcoholic content). This is a custom order because Schutzberg does not produce a 3-percent...

Suppose a filling machine is used to fill cartons with a liquid product. The specification that is strictly enforced for the filling machine is 9 1.5 oz. If any carton is produced with weight...

Solve the following LP problem using the corner point graphical method. At the optimal solution, calculate the slack for eachconstraint: Maximize profit = 4X + 4Y subject to

Henry Chow is a stockbroker working for Merrill Lynch. He knows from past experience that there is a 70% chance that his new client will want to include U.S. equity in her portfolio and a 50% chance...

Hockey pucks used by the National Hockey League (NHL) and other professional leagues weigh an average of 163 grams (5.75 ounces). A quality inspector monitors the manufacturing process for hockey...

PC Magazine provided ratings for several characteristics of computer monitors, including an overall rating (PC Magazine website, April, 2015). The following data show the rating for contrast ratio,...

The following cross tabulation shows the average speed of the 25 winners by year of the Daytona 500 automobile race (The 2013 World Almanac). a. Calculate the row percentages. b. W hat is the...

Use zero- through third-order Taylor series expansions to predict (3) for f (x) = 25x 3 6x 2 + 7x 88 Using a base point at x = 1. Compute the true percent relative error t for each approximation.

A consulting firm submitted a bid for a large research project. The firms management initially felt there was a 50/50 chance of getting the bid. However, the agency to which the bid was submitted...

A researcher interviews 50 employees of a large manufacturer and collects data on each workers hourly wage (Wage), years of higher education (EDUC), experience (EXPER), and age (AGE). The entire data...

In a RingCentral survey, 380 different smartphone users are randomly selected without replacement. Respondents were asked to identify the only thing that they cant live without. Responses consist of...

Some studies have shown that there is a correlation between consumption of salt and blood pressure. As more salt is consumed, blood pressure tends to rise. A reporter reads one of these studies and...

A baseball analytics specialist wants to determine which variables are important in predicting a teams wins in a given season. He has collected data related to wins, earned run average (ERA), and...

A study found a slightly lower percentage of lay teachers in religious secondary schools than in elementary schools. A random sample of 200 elementary school and 200 secondary school teachers from...

Reboot, Inc. is a manufacturer of hiking boots. Demand for boots is highly seasonal. In particular, the demand in the next year is expected to be 3,000, 4,000, 8,000, and 7,000 pairs of boots in...

In a study of facial behavior, people in a control group are timed for eye contact in a 5-minute period. Their times are normally distributed with a mean of 184.0 seconds and a standard deviation of...

The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint: 3.4 2.5 4.8 2.9 3.6 2.8 3.3 5.6 3.7 2.8 4.4 4.0 5.2 3.0 4.8 Assuming that the measurements...

According to a study several years ago by the Personal Communications Industry Association, the average wireless phone user earns $62,600 per year. Suppose a researcher believes that the average...

A real estate agent has collected a random sample of 75 houses that were recently sold in a suburban community. She is particularly interested in comparing the appraised value and recent selling...

Ten weeks of data on the Commodity Futures Index are: 7.35 7.40 7.55 7.56 7.60 7.52 7. 52 7.70 7.62 7.55 a. Construct a time series plot. What type of pattern exists in the data? b. Use trial and...

A sociologist assigned to a correctional institution was interested in studying the relationship between intelligence and delinquency. A delinquency index (ranging from 0 to 50) was formulated to...

Rosenberg Land Development (RLD) is a developer of condominium properties in the Southwest United States. RLD has recently acquired a 40.625 acre site outside of Phoenix, Arizona. Zoning restrictions...

Meryl's Apparel is an upscale chain of women's clothing stores, located primarily in the southwest United States. Due to recent success, Meryl's top management is planning to expand by locating new...

The article "On Assessing the Accuracy of Offshore Wind Turbine Reliability Based Design Loads from the Environmental Contour Method" (Intl. J. of Offshore and Polar Engr., 2005: 132-140) proposes...

Suppose that X has a discrete uniform distribution A random sample of n = 36 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.5,...

What is Monte Carlo simulation? What principles underlie its use, and what steps are followed in applying it?

Based on a study by Dr. P. Sorita Soni at Indiana University, we know that eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel. a. A...

In an analysis investigating the usefulness of pennies, the cents portions of 100 randomly selected credit card charges from the author are recorded, and they have a mean of 47.6 cents and a standard...

Bayess rule was applied to the problem of HIV testing in The American Statistician (Aug. 2008). In North America, the probability of a person having HIV is .008. A test for HIV yields either a...

A gas station with only one gas pump employs the following policy: If a customer has to wait, the price is $3.50 per gallon; if she does not have to wait, the price is $4.00 per gallon. Customers...

Nine measurements are taken on the strength of a certain metal. In order, they are 7.2, 8.9, 9.7, 10.5, 10.9, 11.7, 12.9, 13.9, 15.3, and these values correspond to the 10th, 20th, . . . , 90th...

In the Heidmans Department Store problem of Section 17.2, suppose that the following transition matrix is appropriate: If Heidmans has $4000 in the 030-day category and $5000 in the 3190-day...

City Cab, Inc., uses two dispatchers to handle requests for service and to dispatch the cabs. The telephone calls that are made to City Cab use a common telephone number. When both dispatchers are...

The fast-food franchiser in Exercise 11.43 was unable to provide enough evidence that the site is acceptable. She is concerned that she may be missing an opportunity to locate the restaurant in a...

Will improving customer service result in higher stock prices for the companies providing the better service? When a companys satisfaction score has improved over the prior years results and is above...

One study reports that 30% of newly hired MBAs are confronted with unethical business practices during their first year of employment. One business school dean wondered if her MBA graduates had...

A manufacturer of laundry detergent has introduced a new product that it claims to be more environmentally sound. An extensive survey gives the percentages shown in the table. a. Estimate the...

In a population, = 100 and x = 25. A sample (N = 150) has X = 102. Using two tails of the sampling distribution and the .05 criterion: (a) What is the critical value? (b) Is this sample in the...

Control charts for with n = 4 are maintained on a quality characteristic. The parameters of these charts are as follows and x s Both charts exhibit control. Specifications on the quality...

Suppose that a supplier ships components in lots of size 5,000. A single-sampling plan with n = 50 and c = 2 is being used for receiving inspection. Rejected lots are screened, and all defective...

The curves with equations xn + yn = 1, n = 4, 6, 8, . . . , are called fat circles. Graph the curves with n = 2, 4, 6, 8, and 10 to see why. Set up an integral for the length L2k of the fat circle...

A delivery truck travels from point A to point B and back using the same route each clay there are four traffic lights on the route. Let Xi denote the number of red lights the truck encounters going...

For 108 randomly selected college applicants, the following frequency distribution for entrance exam scores was obtained. Construct a histogram, frequency polygon, and ogive for the data. (The data...

A second version of the Markowitz portfolio model maximizes expected return subject to a constraint that the variance of the portfolio must be less than or equal to some specified amount. Consider...

The data file agstrat.dat also contains information on other variables. For each of the following quantities, plot the data, and estimate the population mean for that variable along with its standard...

(a) Apply Newtons method to the equation 1/x a = 0 to derive the following reciprocal algorithm: xn+1 = 2xn ax2n (This algorithm enables a computer to find reciprocals without actually dividing.)...

In the December, 1969, American Economic Review (pp. 886896), Nathaniel Leaf reports the following least squares regression results for a cross section study of the effect of age composition on...

In 2009, the New York Yankees won 103 baseball games during the regular season. The table on the next page lists the number of victories (W), the earnedrun average (ERA), and the batting average...

A random sample of size n=100 is taken from a population of size N=3,000 with a population proportion of p=0.34. a. Is it necessary to apply the finite population correction factor? Explain....

The Gilbreth family drinks a case of Royal Cola every day, 365 days a year. Fortunately, a local distributor offers quantity discounts for large orders as shown in the table below, where the price...

The soccer team's shirts have arrived in a big box, and people just start grabbing them, looking for the right size. The box contains 4 medium, 10 large, and 6 extra-large shirts. You want a medium...

FRED® (Federal Reserve Economic Data), a database of more than 3000 U.S. economic time series, contains historical data on foreign exchange rates. The following data show the foreign exchange...

The use of both alcohol and tobacco by high school seniors has declined in the last 30 years. Alcohol use is down from 68.2 to 43.1%, and the use of cigarettes by high school seniors has decreased...

A media rental store rented the following number of movie titles in each of these categories: 170 horror, 230 drama, 120 mystery, 310 romance, and 150 comedy. If a person selects a movie to rent,...

The filling variance for boxes of cereal is designed to be .02 or less. A sample of 41 boxes of cereal shows a sample standard deviation of .16 ounces. Use = .05 to determine whether the variance in...

SPSS will calculate standard scores for any distribution. Examine the distribution of EDUC (years of school completed). a. Have SPSS calculate Z scores for EDUC. (See the SPSS Demonstration above if...

The U.S. Census bureau serves as the leading source of quantitative data about the nation's people and economy. The following cross tabulation shows the number of households (1000s) and the household...

Arthur Andersen Enterprise Group/National Small Business United, Washington, conducted a national survey of small-business owners to determine the challenges for growth for their businesses. The top...

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...

A manufacturer of cat food is planning to survey households in the United States to determine purchasing habits of cat owners. Among the variables to be collected are the following: i. The primary...

Dementia is the loss of the intellectual and social abilities severe enough to interfere with judgment, behavior, and daily functioning. Alzheimer's disease is the most common type of dementia. In...

A simple random sample of 300 items is selected from a large shipment, and testing reveals that 4% of the sampled items are defective. The supplier claims that no more than 2% of the items in the...

Use order of h8 Romberg integration to evaluate Compare and t . re' dx

The Costello Music Company has been in business for five years. During that time, the sales of electric organs have grown from 12 units in the first year to 76 units in the most recent year. Fred...

A decision maker subjectively assigned the following probabilities to the four outcomes of an experiment: P(E1) = .10, P(E2) = .15, P(E3) = .40, and P(E4) = .20. Are these probability assignments...

A company is about to develop and then market a new product. It wants to build a simulation model for the entire process, and one key uncertain input is the development cost. For each of the...

The time-series plot in the next column shows the number of new homes built in the Midwest from 2000 to 2009. (a) Describe how this graph is misleading. (b) What is the graph trying to convey? (c) In...

The mean and the standard deviation of the sample of 40 trash bag breaking strengths in Table 1.9 are 50.575 and 1.6438, respectively. a. Use the Excel output in Figure to calculate a t-based 95...

An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table. Use α = .05 to test for any significant differences. Source of...

Let X denote the number of flaws observed on a large coil of galvanized steel. Seventy-five coils are inspected and the following data were observed for the values of X: Values 1 2 3 4 5 6 7 8...

An electronics company produces transistors, resistors, and computer chips. Each transistor requires four units of copper, one unit of zinc, and two units of glass. Each resistor requires three,...

If water is drained from a vertical cylindrical tank by opening a valve at the base, the water will flow fast when the tank is full and slow down as it continues to drain. As it turns out, the rate...