GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. (a) Write the hypotheses for a right-tailed...

Using smoothing constants of 0.6 and 0.9 develop forecasts for the sales of Cool-Man air conditioners. Data from Sales of Cool-Man air conditioners have grown steadily during the past 5 years: YEAR...

A telephone survey conducted by the Maritz Marketing Research Company found that 43% of Americans expect to save more money next year than they saved last year. Forty-five percent of those surveyed...

A fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday the demand for hamburgers is normally distributed with mean 313 and standard deviation 57; the demand for chicken...

Each year, Fortune Magazine publishes an article titled "The International 500" that provides a ranking by sales of the top 500 firms outside the United States. Suppose that you want to examine...

The number of defects per batch of camping chairs inspected (a) Find the mean, variance, and standard deviation of the probability distribution, (b) Interpret the results. 5 Defects 0 Probability...

An article in the Materials Research Bulletin (Vol. 26, No. 11, 1991) investigated four different methods of preparing the superconducting compound PbMo6S8. The authors contend that the presence of...

Thompson Photo Works purchased several new, highly sophisticated processing machines. The production department needed some guidance with respect to qualifications needed by an operator. Is age a...

Collinas Italian Caf in Houston, Texas, advertises that carryout orders take about 25 minutes (Collinas website, February 27, 2008). Assume that the time required for a carryout order to be ready for...

427 different adult women were randomly selected and asked what they purchase online, and 162 of the women said that they purchase clothes online (based on a survey by the Consumer Reports Research...

A fitness magazine claims that the mean cost of a yoga session is no more than $14. You work for a consumer advocacy group and are asked to test this claim. You find that a random sample of 32 yoga...

Harry Daniels is a quality control engineer for the Specific Electric Corporation. Specific manufactures electric motors. One of the steps in the manufacturing process involves the use of an...

The following table lists the presidents of the United States (as of October 2010) and their state of birth. (a) Construct a frequency bar graph for state of birth. (b) Which state has yielded the...

Television stations sometimes solicit feedback volunteered by viewers about a televised event. Following a televised debate between Barack Obama and Mitt Romney in the 2012 U. S. presidential...

Lets assume that over the years, a paper and pencil test of anxiety yields a mean score of 35 for all incoming college freshmen. We wish to deter-mine whether the scores of a random sample of 20 new...

A recent study indicates that people tend to select video game avatars with characteristics similar to those of their creators (Blisle & Onur, 2010). Participants who had created avatars for a...

What promotion blend would be most appropriate for producers of the following established products? Assume average- to large-sized firms in each case and support your answer. a. Chocolate candy bars....

Listed below are the arrival delay times (in minutes) of randomly selected American Airline flights from New Yorks JFK airport to Los Angeles (LAX). Negative values correspond to flights that arrived...

A random sample of 1,562 undergraduates enrolled in management ethics courses was asked to respond, on a scale from 1 (strongly disagree) to 7 (strongly agree), to this proposition: Senior corporate...

The normal daily high temperatures (in degrees Fahrenheit) in January for 10 selected cities are as follows. 50, 37, 29, 54, 30, 61, 47, 38, 34, 61 The normal monthly precipitation (in inches) for...

Occasionally, warning flares of the type contained in most automobile emergency kits fail to ignite. A consumer advocacy group wants to investigate a claim against a manufacturer of flares brought by...

Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as...

An article in the Journal of Aircraft (Vol. 23, 1986, pp. 859864) describes a new equivalent plate analysis method formulation that is capable of modeling aircraft structures such as cranked wing...

The titanium content in an aircraft-grade alloy is an important determinant of strength. A sample of 20 test coupons reveals the following titanium content (in percent): 8.32, 8.05, 8.93, 8.65, 8.25,...

Below we give the overall dining experience ratings (Outstanding, Very Good, Good, Average, or Poor) of 30 randomly selected patrons at a restaurant on a Saturday evening. a. Find the frequency...

Johnson Electronics Corporation makes electric tubes. It is known that the standard deviation of the lives of these tubes is 150 hours. The companys research department takes a sample of 100 such...

Using the test in question 23, you measure 64 children, obtaining a X of 57.28. Slug says that because this X is so close to the ^ of 56, this sample could hardly be considered gifted. (a) Perform...

An educator examined the relationship between the number of hours devoted to reading each week (Y) and the independent variables social class (X1), number of years of school completed (X2), and...

Kelly Spaugh, course scheduler of a technical colleges business department, needs to assign instructors to courses next semester. As a criterion for judging who should teach each course, Kelly...

According to the 2010 Census, 16% of the people in the United States are of Hispanic or Latino origin. One county supervisor believes her county has a different proportion of Hispanic people than the...

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...

An experiment with artillery shells yields the following data on the characteristics of lateral deflections and ranges. Would you conclude that deflection and range are independent? Use a = 0.05....

Use a centered difference approximation of O(h 2 ) to estimate the second derivative of the function examined in Prob.4.4. Perform the evaluation at x = 2 using step sizes of h = 0.25 and 0.125....

Ruth Jones, a robust 50-year-old insurance adjuster living in the northern suburbs of Chicago, has been diagnosed by a University of Illinois cardiologist as having a defective heart valve. Although...

Four years ago, Victor Consuelo purchased a very reliable automobile (as rated by a reputable consumer advocacy publication). His warranty has just expired, but the manufacturer has just offered him...

An economist would like to estimate the 95% confidence interval for the average real estate taxes collected by a small town in California, ravaged by the economic crisis. In a prior analysis, the...

A study undertaken by the Miami-Dade Supervisor of Elections in 2002 revealed that 44% of registered voters are Democrats, 37% are Republicans, and 19% are others. If two registered voters are...

Given that the data in Exercise 3 were obtained from students who made a decision to submit their SAT scores to a Web site, what type of sample is given in that exercise? If we had a much larger...

The dean of students wants to see whether there is a significant difference in ages of resident students and commuting students. She selects a sample of 50 students from each group. The ages are...

Janet is planning to open a small car-wash operation, and she must decide how much space to provide for waiting cars. Janet estimates that customers would arrive randomly (i.e., a Poisson input...

In the basic EOQ model, suppose the stock is replenished uniformly (rather than instantaneously) at the rate of b items per unit time until the order quantity Q is fulfilled. Withdrawals from the...

A letter in the December 1995 issue of Dell Champion Variety Puzzles stated: Ive noticed over the last several issues there have been no winners from the South in your contests. You always say that...

A door-to-door encyclopedia salesperson is required to document five in-home visits each day. Suppose that she has a 30% chance of being invited into any given home, with each address representing an...

Nested form evaluate f(x) = x3 7.5x2 +11.2x + 2.8 = ((x 7.5)x + 11.2)x + 2.8 at x = 3.94 using 3S arithmetic and rounding, in both of the given forms. The latter, called the nested form, is usually...

Rutter Nursery Company packages its pine bark mulch in 50-pound bags. From a long history, the production department reports that the distribution of the bag weights follows the normal distribution...

In a Gallup telephone survey conducted on April 9-10, 2013, the person being interviewed was asked if he would vote for a law in his state that would increase the gas tax up to 20 cents a gallon,...

Patients arrive at a dentists office with an arrival rate of 2.8 patients per hour. The dentist can treat patients at a service rate of 3 patients per hour. A study of patient waiting times shows...

Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect...

Results of a 2013 Adobe Systems study on retail apps and buying habits reveals insights on perceptions and attitudes toward mobile shopping using retail apps and browsers, providing new direction for...

The following tableau represents a specific simplex iteration. All variables are nonnegative. The tableau is not optimal for either a maximization or a minimization problem. Thus, when a non basic...

Bessel Function J0, xy'' + y' + xy = 0, y(1) = 0.765198 , y' (1) = 0.440051, h = 0.5, 5 steps, (this igives the standard solution J0(x) in Fig. 107 in Sec. 5.5)

Stockbroker Suzan Shader has made the following recommendations to her client: The client agrees to this list but provides several conditions: (1) No more than $2000 can be invested, (2) The money is...

A savings and loan averages about $100,000 in deposits per week. However, because of the way pay periods fall, seasonality, and erratic fluctuations in the local economy, deposits are subject to a...

In a large department store a customer-complaints office handles an average of six complaints per hour about the quality of service. The distribution is Poisson. a. What is the probability that in...

Nassau County is located approximately 25 miles east of New York City. The data organized and stored in Glen Cove include the fair market value (in $ thousands), land area of the property in acres,...

Assume the cost of an extended 100,000 mile warranty for a particular SUV follows the normal distribution with a mean of $ 1,600 and a standard deviation of $ 75. a. Determine the interval of...

A family special at a neighborhood restaurant offers dinner for four for $39.99. There are 3 appetizers available, 4 entrees, and 3 desserts from which to choose. The special includes one of each....

Consider the following problem. Minimize Z = 2x1 +3x2 + x3, Subject to and x1 0, x2 0, x3 0. (a) Reformulate this problem to fit our standard form for a linear programming model presented in Sec....

The accompanying table gives the dry weights (Y) of 11 chick embryos ranging in age from 6 to 16 days (X). Also given in the table are the values of the common logarithms of the weights (Z). a....

The characteristics of an industrial filling process in which an expensive liquid is injected into a container were investigated in the Journal of Quality Technology (July 1999). The quantity...

1. Each day, at 25 random times, the upload speed is measured. Assuming that the distribution has not changed from what it was in the past year, what is the probability that the mean upload speed is...

A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its 33 employees with a cell phone, find the probability...

Consider a birth-and-death process with just three attainable states (0, 1, and 2), for which the steady-state probabilities are P0, P1, and P2, respectively. The birth-and-death rates are summarized...

The number of service calls received at LaFortune Electric during four months is shown in the following table: Month Number of Service Calls April.19 May..31 June..27 July..29 Forecast the number of...

Use Newton's method and the modified Newton's method described in Eq. (2.13) to find a solution accurate to within 105 to the problem e6x + 1.441e2x 2.079e4x 0.3330 = 0, for 1 x 0 This is the...

In 2011, New York City had a total of 11,232 motor vehicle accidents that occurred on Monday through Friday between the hours of 3 p.m. and 6 p.m. (New York State Department of Motor Vehicles...

Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle (based on a...

The Auto Company of America (ACA) produces four types of cars: subcompact, compact, intermediate, and luxury. ACA also produces trucks and vans. Vendor capacities limit total production capacity to...

A page that is x inches wide and y inches high contains 30 square inches of print. The top and bottom margins are each 1 inch deep and the margins on each side are 2 inches wide (see figure). a. Show...

Let three random samples of sizes n1 = 20, n2 = 10, and n3 = 8 be taken from a population with mean and variance 2. Let S2/1, S2/2, and S2/3 be the sample variances. Show that S2 = (20S2/1 + 10S2/2 +...

A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a committee of 4 is selected at random, find the probability that (a) All nationalities are...

Weights of respondents were recorded as part of the California Health Interview Survey. The last digits of weights from 50 randomly selected respondents are listed below. Construct frequency...

According to the Internal Revenue Service, the average income tax refund for the 2011 tax year was $ 2,913. Assume the refund per person follows the normal probability distribution with a standard...

Components used in a cellular telephone are manufactured with nominal dimension of 0.3 mm and lower and upper specification limits of 0.295 mm and 0.305 mm respectively. The x and R control charts...

Crowd Management Strategies monitors accidents at rock concerts. In their database, they list the names and other variables of victims whose deaths were attributed to "crowd crush" at rock concerts....

Leonard works as a waiter in an upscale city restaurant. He makes a very good salary plus tips. His monthly income varies based upon the nights he works. His quarterly dividend checks and interest...

A confidence interval estimate is desired for the gain in a circuit on a semiconductor device. Assume that gain is normally distributed with standard deviation = 20. (a) Find a 95% CI for when n = 10...

A polygraph (lie detector) is an instrument used to determine if the individual is telling the truth. These tests are considered to be 95% reliable. In other words, if an individual lies, there is a...

1. Develop numerical and graphical summaries of the data. 2. Use regression analysis to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age...

Refer to the Scheer Industries example in Section 8.2. Use 6.84 days as a planning value for the population standard deviation. a. Assuming 95% confidence, what sample size would be required to...

In an analysis of daily soil evaporation (EVAP), Freund (1979) identified the following predictor variables: MAXAT = Maximum daily air temperature MINAT = Minimum daily air temperature AVAT =...

The alternating current (AC) breakdown voltage of an insulating liquid indicates its dielectric strength. The article "Testing Practices for the AC Breakdown Voltage Testing of Insulation Liquids"...

a. Find the probability of getting exactly 1 sleepwalker among 5 adults. b. Find the probability of getting 1 or fewer sleepwalkers among 5 adults. c. Which probability is relevant for determining...

A sociologist randomly selects single adults for different groups of four, and the random variable x is the number in the group who say that the most fun way to flirt is in person (based on a...

A recent study of IRS audits showed that, for estates worth less than $5 million, about 1 out of 7 of all estate tax returns are audited, but that probability increases to 50% for estates worth over...

The number of unclaimed expired prizes (in millions of dollars) for lottery tickets bought in a sample of states as shown. Construct a frequency distribution for the data using 5 classes. (The data...

The lifetime of a mechanical assembly in a vibration test is exponentially distributed with a mean of 400 hours. (a) What is the probability that an assembly on test fails in less than 100 hours? (b)...

In Example 8.7, we computed the OLS and a set of WLS estimates in a cigarette demand equation. (i) Obtain the OLS estimates in equation (8.35). (ii) Obtain the h. used in the WLS estimation of...

The Maclaurin series expansion for cos x is Starting with the simplest version, cos x = 1, add terms one at a time to estimate cos (?/3). After each new term is added, compute the-true and...

The following table, stored in Smartphone Sales, represents the annual market share of smartphones, by type, for the years 2011, 2012, and 2013. a. What conclusions can you reach about the market for...

B. Ciochetti et al. studied mortgage loans in the article "A Proportional Hazards Model of Commercial Mortgage Default with Originator Bias" (Journal of Real Estate and Economics, Vol. 27, No. 1, pp....

Six jurors are to be selected from a pool of 20 potential candidates to hear a civil case involving a lawsuit between two families. Unknown to the judge or any of the attorneys, 4 of the 20...

The U.S. Department of Energy's Fuel Economy Guide provides fuel efficiency data for cars and trucks. A portion of the data for 311 compact, midsized, and large cars follows. The Class column...

Air pollution control specialists in southern California monitor the amount of ozone, carbon dioxide, and nitrogen dioxide in the air on an hourly basis. The hourly time series data exhibit...

Write equations for the darkened nodes in the grid in Figure. Note that all units are cgs. The coefficient of thermal conductivity for the plate is 0.75 cal/(s cm C), the convection coefficient is...

A social psychologist wishes to test the assertion that our attitude toward other people tends to reflect our perception of their attitude toward us. A randomly selected member of each of 12 couples...

The fairness of the South African lottery was recently challenged by one of the country's political parties. The lottery publishes historical statis¬tics at its website...

The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 49...

Find the Eigen values and Eigen vectors of the so-called Pauli spin matrices and show that SxSy = iSz, SySx = ?? iSz, Sx2 = Sy2 = Sz2 =I, Sx - [ ] [ ] S $-[-] = Lo S

A soft-drink machine is being regulated so that the amount of drink dispensed averages 240 milliliters with a standard deviation of 15 milliliters. Periodically, the machine is checked by taking a...