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...
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...
In the simple regression model (5.16), under the first four Gauss-Markov assumptions, we showed that estimators of the form (5.17) are consistent for the slope, (1 Given such an estimator, define an...
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...
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...
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...
A company receives a very large shipment of components. A random sample of 16 of these components will be checked, and the shipment will be accepted if fewer than 2 of these components are defective....
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...
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...
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...
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...
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....
Michigan Motors Corporation (MMC) just introduced a new luxury touring sedan. As part of its promotional campaign, the marketing department decided to send personalized invitations to test-drive the...
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...
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...
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...
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...
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...
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...
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...
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...
Refer to Sec. 3.4 (subsection entitled "Controlling Air Pollution") for the Nori & Leets Co. problem. After the OR team obtained an optimal solution, we mentioned that the team then conducted...
TN Communications provides cellular telephone services. The company is planning to expand into the Cincinnati area and is trying to determine the best location for its trans- mission tower. The tower...
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...
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...
Based on the data for the years 1962 to 1977 for the United States, Dale Bails and Larry Peppers obtained the following demand function for automobiles: t = 5807 + 3.24Xt r2 = 0.22 se = (1.634) where...
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,...
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....
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,...
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...
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....
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...
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...
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...
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...
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...
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...
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 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...
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...
Answer true or false to the following statements: 1. Hypothetical reasoning is useful when the evidence by itself does not provide the solution to the problem. 2. Hypotheses are derived directly from...
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...
The management of the Albert Hanson Company is trying to determine the best product mix for two new products. Because these products would share the same production facilities, the total number of...
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....
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...
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...
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...
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 +...
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)
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...
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...
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...
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...
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...
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...
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...
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....
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...
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...
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...
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...
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)...
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...
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...
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 =...
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...
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...
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...
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....
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...
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...
According to an IRS study, it takes a mean of 330 minutes for taxpayers to prepare, copy, and electronically file a 1040 tax form. This distribution of times follows the normal distribution and the...
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...
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...
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...
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...
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...
The life in hours of a battery is known to be approximately normally distributed, with standard deviation = 1.25 hours. A random sample of 10 batteries has a mean life of hours. (a) Is there evidence...
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...
Executive compensation has risen dramatically beyond the rising levels of an average workers wage over the years. This has been a hot topic for discussion, especially with the crisis in the financial...
An Adweek Media/Harris Poll revealed that 44% of U.S. adults in the 1834 years category think that Made in America ads boost sales. A different Harris Interactive poll showed that 78% of U.S. adults...
The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.60 entrees per order. On a particular Saturday afternoon, a random sample of 40...
Recall the experiment described in Review Question 16.11 on page 314, where errors on a driving simulator were obtained for subjects whose orange juice had been laced with controlled amounts of...
Young Adult magazine states the following hypotheses about the mean age of its subscribers. H0: = 28 Ha: 28 a. What would it mean to make a Type II error in this situation? b. The population...
In the previous problem we noted that the differences in cognitive skills tend to be bigger among older people than among younger people. These differences are often called diversity. Similarly, the...
A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 25 blue crabs from Location...
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...
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 circuit system is given in Figure. Assume the components fail independently.(a) What is the probability that the entire system works?(b) Given that the system works, what is the probability that...
According to Runzheimer International, in a survey of relocation administrators 63% of all workers who rejected relocation offers did so for family considerations. Suppose this figure was obtained by...
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...
Asian residents in Boston have the highest average life expectancy of any racial or ethnic groupa decade longer than black residents (Boston Globe, August 16, 2010). Suppose sample results indicative...
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...
(Liberatore and Miller, 1985) A manufacturing facility uses two production lines to produce three products over the next 6 months. Backlogged demand is not allowed. However, a product may be...
Two balls are thrown upward from the edge of the cliff in Example 8. The first is thrown with a speed of 48ft/s and the other is thrown a second later with a speed of 24ft/s. Do the balls ever pass...