Which of the following are probability distributions? Why? (a) RANDOM VARIABLE X PROBABILITY 2 ................... 0.1 1 ................. 0.2 0 ................... 0.3 1 ................... 0.25 2...
A Pew Research study finds that 23% of Americans use only a cell phone, and no land line, for making phone calls (The Wall Street Journal, October 14, 2010). A year later, a researcher samples 200...
While playing a coin- tossing game in which you are to guess whether heads or tails will appear, you observe 30 heads in a string of 50 coin tosses. (a) Test the null hypothesis that this coin is...
Cycle time in manufacturing can be viewed as the total time it takes to complete a product from the beginning of the production process. The concept of cycle time varies according to the industry and...
John Isaac Inc., a designer and installer of industrial signs, employs 60 people. The company recorded the type of the most recent visit to a doctor by each employee. A national assessment conducted...
The Lockhead Aircraft Co. is ready to begin a project to develop a new fighter airplane for the U.S. Air Force. The companys contract with the Department of Defense calls for project completion...
An article in the American Industrial Hygiene Association Journal (Vol. 37, 1976, pp. 418422) describes a field test for detecting the presence of arsenic in urine samples. The test has been proposed...
ALas Vegas roulette wheel has 38 different numerical values. If an individual bets on one number and wins, the payoff is 35 to 1. a. Show a payoff table for a $10 bet on one number for decision...
The speeds of 55 cars were measured by a radar device on a city street: a. Classify these data into a grouped frequency distribution by using class boundaries 1218, 1824, . . . , 4854. b. Find the...
A researcher is evaluating customer satisfaction with the service and coverage of two phone carriers. Each individual in a sample of n = 25 uses one carrier for two weeks and then switches to the...
A large retailer receives shipments of batteries for consumer electronic products in packages of 50 batteries. The packages are held at a distribution center and are shipped to retail stores as...
Lee Appliances knows that weekly demand for high-end microwaves is normally distributed, with a mean of 25 units and a standard deviation of 7 units. (In your model use integers for all demands.) Lee...
For each research finding, decide whether there is evidence of causation, correlation, or both. If it is only a correlation, name a possible lurking variable that may be the cause of the results. a....
Tires salvaged from a train wreck are on sale at the Getrich Tire Company. Of the 15 tires offered in the sale, 5 have suffered internal damage and the remaining 10 are damage free. You randomly...
An agricultural cooperative guarantees that the mean shelf life of a certain type of dried fruit is at least 400 days. (a) State the null and alternative hypotheses, and identify which represents the...
203 students signed up for the Stats course in Exercise 39. They used the software suggested by the salesman, and scored an average of 108 points on the final with a standard deviation of 8.7 points....
The accompanying data file shows the midterm and final scores for 32 students in a statistics course. a. Estimate a student's final score as a function of his/ her midterm score. b. Find the standard...
A two-dimensional circular cylinder is placed in a high-speed uniform flow. Vortices shed from the cylinder at a constant frequency, and pressure sensors on the rear surface of the cylinder detect...
Donna Shader, manager of the Winter Park Hotel, is considering how to restructure the front desk to reach an optimum level of staff efficiency and guest service. At present, the hotel has five clerks...
Multi bank is a large London bank with a branch office in Boston. The American government believes that a prominent American underworld figure, Mr. Z, has been depositing stolen money in both the...
Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great Lakes region, the Southeast, and the Northeast. Jim Bardi, the president, is studying the relationship between the...
The following table contains the probability distribution for the number of traffic accidents daily in a small town: a. Compute the mean number of accidents per day. b. Compute the standard...
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 prospered...
Refer to the Cox Cable and Wire Company case. In the role of Meredith, design a spreadsheet with which to find a machine schedule and a corresponding inventory and shipment schedule that meets...
The port of South Louisiana, located 54 miles along the Mississippi River between New Orleans and Baton Rouge, is the largest bulk cargo port in the world. The U.S. Army Corps of Engineers reports...
Based on data from the Centers for Disease Control, the probability of a randomly selected person having gonorrhea is 0.00114. In tests for gonorrhea, blood samples from 16 people are combined. What...
The Security & Trust Bank employs 4 tellers to serve its customers. Customers arrive according to a Poisson process at a mean rate of 2 per minute. However, business is growing and management...
A company owns both a factory to produce its products and a retail outlet to sell them. A certain new product will be sold exclusively through this retail outlet. Its inventory of this product will...
The file FdiCBankFailures contains data on failures of federally insured banks between 2000 and 2012. Create a PivotTable in Excel to answer the following questions. The Pivot- Table should group the...
Reconstruct the following syllogistic forms and use the five rules for syllogisms to determine if they are valid from the Boolean standpoint, conditionally valid from the Aristotelian standpoint, or...
An article in The Wall Street Journal (July 11, 2008) outlined a number of reasons as to why the 16 teams in Major League Baseballs National League (NL) are inferior to the 14 teams in the American...
Spam e-mail has become a serious and costly nuisance. An office manager believes that the average amount of time spent by office workers reading and deleting spam exceeds 25 minutes per day. To test...
Students in a geography class are asked whether theyve visited Europe in the past 12 months and whether theyve flown on a plane in the past 12 months. a. For a randomly selected student, would you...
The number of minutes that a flight from Phoenix to Tucson is early or late is a random variable whose probability density is given by Where negative values are indicative of the flights being early...
Let A be an event that a persons primary method of transportation to and from work is an automobile and B be an event that a persons primary method of transportation to and from work is a bus....
A random sample of 50 university admissions officers was asked about expectations in application interviews. Of these sample members, 28 agreed that the interviewer usually expects the interviewee to...
The owner of a restaurant that serves Continental style entres has the business objective of learning more about the patterns of patron demand during the Friday to Sunday weekend time period. Data...
Vincenzo Baranello was diagnosed with high blood pressure. He was able to keep his blood pressure in control for several months by taking blood pressure medicine (amlodipine besylate). Baranellos...
Gven, Elaimis, Binokay, and Tan (2003) studied the distribution of paw preferences in rats using a computerized food-reaching test. For a sample of n = 144 rats, they found 104 right-handed animals....
Buck and Bill Bogus are twin brothers who work at a gas station and have a counterfeiting business on the side. Each day a decision is made as to which brother will go to work at the gas station, and...
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...
Transactions to a computer database are either new items or changes to previous items. The addition of an item can be completed less than 100 milliseconds 90% of the time, but only 20% of changes to...
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is , the fuel is consumed at rate r, and the...
A safety engineer claims that only 40% of all workers wear safety helmets when they eat lunch at the workplace. Assuming that his claim is right, find the probability that 4 of 6 workers randomly...
Three assembly lines are used to produce a certain component for an airliner. To examine the production rate, a random sample of six hourly periods is chosen for each assembly line and the number of...
The production manager of High Point Sofa and Chair, a large furniture manufacturer located in North Carolina, is studying the job performance ratings of a sample of 15 electrical repairmen employed...
A local company installs natural-gas grills. As part of the installation, a ditch is dug to lay a small natural-gas line from the grill to the main line. On the average, the depth of these lines...
Consider the 63 automatic teller machine (ATM) transaction times given in Table 3.4 above. a. Construct a histogram (or a stem- and- leaf display) for the 63 ATM transaction times. Describe the shape...
Percentages of public school students in fourth grade in 1996 and in eighth grade in 2000 who were at or above the proficient level in mathematics were given in the article Mixed Progress in Math...
Thirty-four percent of voters think that Congress should help write standards for school food. You randomly select six voters and ask them whether Congress should help write standards for school...
Calculate the 90% confidence interval for the following variables, comparing lower, working, middle, and upper classes (CLASS) in the GSS sample. First, tell SPSS that we want to select all cases in...
A convenience store has two separate locations in the store where customers can be: checked out as they leave. These locations both have: two cash registers and have two employees that check out...
The Garden Avenue Seven sells tapes of its musical performances. The following data show sales for the past 18 months. The groups manager wants an accurate method for forecasting future sales. a. Use...
Wooden boxes are commonly used for the packaging and transportation of mangoes. A convenience store in Morganville, New Jersey, regularly buys mangoes from a wholesale dealer. For every shipment, the...
When one company buys another company, it is not unusual that some workers are terminated. The severance benefits offered to the laid-off workers are often the subject of dispute. Suppose that the...
A website that rents movies online recorded the age and the number of movies rented during the past month for some of their customers. Here are their data: Age Rentals 35 .... 9 40 .... 8 50 .... 4...
At a certain university in the United States, 62% of the students are at least bilingual- speaking English and at least one other language. Of these students, 80% speak Spanish and, of the 80% who...
The Toys-R-4-U Company has developed two new toys for possible inclusion in its product line for the upcoming Christmas season. Setting up the production facilities to begin production would cost...
A Harris Poll surveyed 2085 U.S. adults regarding use of cell phones while driving. All the adults were asked their opinion regarding how dangerous it is for a driver to use a cell phone while...
The following data represent tonnes of wheat harvested each year (1894-1925) from Plot 19 at the Rothamsted Agricultural Experiment Stations, England. (a) Multiply each data value by 100 to "clear"...
On May 7, 1992, the space shuttle Endeavour was launched on mission STS-49, the purpose of which was to install a new perigee kick motor in an Intelsat communications satellite. The table gives the...
A busy restaurant determined that between 6:30 P.M. and 9:00 P.M. on Friday nights, the arrivals of customers are Poisson distributed with an average arrival rate of 2.44 per minute. a. What is the...
The U.S. Environmental Protection Agency (EPA) monitors levels of pollutants in the air for cities across the country. Ozone pollution levels are measured using a 500-point scale; lower scores...
Use the data in PNTSPRD.RAW for this exercise. (i) The variable sprdcvr is a binary variable equal to one if the Las Vegas point spread for a college basketball game was covered. The expected value...
Find the shortest route from node 1 to node 7 in the networkshown. 5 4
Raquel Covington is a graduate student majoring in environmental management. In one particular class, Raquel has maintained a low A average throughout the semester, and she needs an A or a high B on...
The U.S. Census Bureau publishes data on factory orders for all manufacturing, durable goods, and nondurable goods industries. Shown here are factory orders in the United States over a 13-year period...
A regional manager at Acme Markets would like to develop a model to predict weekly sales of pet food based on the shelf space. The following table shows the results of data collected from nine...
Elliptical trainers are becoming one of the more popular exercise machines. Their smooth and steady low-impact motion makes them a preferred choice for individuals with knee and ankle problems. But...
The data in Table 8E.11 were taken by one operator during a gauge capability study. (a) Estimate gauge capability. b) Does the control chart analysis of these data indicate any potential problem in...
The tensile strength of nonferrous pipes is of importance. Samples of size 5 are selected from the process output, and their tensile strength values are found. After 30 such samples, the process mean...
Let X1, X2, , Xn be uniformly distributed on the interval 0 to a. Recall that the maximum likelihood estimator of a is a = max (Xi). (a) Argue intuitively why cannot be an unbiased estimator for a....
Suppose that the population y(t) of a certain kind of fish is given by the logistic equation (8), and fish are caught at a rate Hy proportional to y. Solve this so-called Schaefer model. Find the...
Suppose that for a very large shipment of integrated-circuit chips, the probability of failure for any one chip is 0.10. Assuming that the assumptions underlying the binomial distributions are met,...
A liquor wholesaler is interested in assessing the effect of the price of a premium scotch whiskey on the quantity sold. The results in the accompanying table on price, in dollars, and sales, in...
The following is a stem- and- leaf display representing the amount of gasoline purchased, in gallons (with leaves in tenths of gallons), for a sample of 25 cars that use a particular service station...
A typing-competency test yields scores with x = 80.0 and s = 10.0, and a histogram shows that the distribution of the scores is roughly bell-shaped. Use the empirical rule to answer the following: a....
A system consists of two power plants that must deliver loads over a transmission network. The costs of generating power at plants 1 and 2 are given by F1 = 2p1 + 2 F2 = 10p2 Where p1 and p2 = power...
In addition to selling Christmas trees during the Christmas holidays, Harry's Hardware sells all the ordinary hardware items. One of the most popular items is Great Glue HH, a glue that is made just...
A recent report indicated a typical family of four spends $490 per month on food. Assume the distribution of food expenditures for a family of four follows the normal distribution, with a standard...
One important statistic in baseball is a pitchers earned run average, or ERA. This number represents the average number of earned runs given up by the pitcher per nine innings. The following table...
A company is concerned with the high cholesterol levels of many of its employees. To help combat the problem, it opens an exercise facility and encourages its employees to use this facility. After a...
Five jobs need to be done on a certain machine. However, the setup time for each job depends upon which job immediately preceded it, as shown by the following table: The objective is to schedule the...
Decrypt these messages encrypted using the shift cipher f (p) = (p + 10) mod 26. a) CEBBOXNOB XYG b) LO WI PBSOXN c) DSWO PYB PEX
Consider babies born in the "normal" range of 37-43 weeks gestational age. Extensive data supports the assumption that for such babies born in the United States, birth weight is normally distributed...
The number of students taking the Scholastic Aptitude Test (SAT) has risen to an all-time high of more than 1.5 million (College Board, August 26, 2008). Students are allowed to repeat the test in...
Hayes (2000) took a stratified sample of New York City food stores. The sampling frame consisted of 1408 food stores with at least 4000 square feet of retail space. The population of stores was...
If a cell phone company conducted a telemarketing campaign to generate new clients, and the probability of successfully gaining a new customer was 0.05, what are the probabilities that contacting 25...
The vice president of sales for Blasterman Cosmetics, Inc. believes that 40% of the company's orders come from customers who are less than 30 years old. A random sample of 10,000 orders will be used...
Two different methods can be used for measuring the temperature of the solution in a Hall cell used in aluminum smelting, a thermocouples implanted in the cell and an indirect measurement produced...
TriCity Manufacturing (TCM) makes Styrofoam cups, plates, and sandwich and meal containers. Next weeks schedule calls for the production of 80,000 small sandwich containers, 80,000 large sandwich...
FineHair is developing a new product to promote hair growth in cases of male pattern baldness. If FineHair markets the new product and it is successful, the company will earn $1,000,000 in additional...
Many nutritional experts have expressed concern about the high levels of sodium in prepared foods. The following data on sodium content (in milligrams) per frozen meal appeared in the article...
During the first quarter of 2003, the price/earnings (P/E) ratio for stocks listed on the New York Stock Exchange generally ranged from 5 to 60 (The Wall Street Journal, March 7, 2003). Assume that...
Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes rats to find...
The thickness of photo resist applied to wafers in semiconductor manufacturing at a particular location on the wafer is uniformly distributed between 0.2050 and 0.2150 micrometers. (a) Determine the...
A recent report suggests that business majors spend the least amount of time on course work than do all other college students (New York Times, November 17, 2011). A provost of a university conducts...
A random sample of 16 tires was tested to estimate the average life of this type of tire under normal driving conditions. The sample mean and sample standard deviation were found to be 47,500 miles...
Some experts believe that 20% of all freshwater fish in the United States have such high levels of mercury that they are dangerous to eat. Suppose a fish market has 250 fish tested, and 60 of them...
Consider the data set in Table 11.3.1, representing the ages (in years) and maintenance costs (in thousands of dollars per year) for five similar printing presses. a. Draw a scatterplot of this data...