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mathematics
statistics

Questions and Answers of Statistics

The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is
Physical Science the table shows equivalent Fahrenheit and Celsius temperatures. Degrees Fahrenheit Degrees Celsius32
The estimated daily living costs for an executive traveling to various major cities follow.The estimates include a single room at a four-star hotel, beverages, breakfast, taxi fares, and incidental
Suppose you are drawing cards out of a 30 card deck. The following table reports the value of each type of card and the number of that type in the deck. Value
Vacation occupancy rates were expected to be up during March 2008 in Myrtle Beach, South Carolina (The Sun News, February 29, 2008). Data in the file Occupancy will allow you to replicate the
On a test whose distribution is approximately normal with a mean of 50 and a standard deviation of 10, the results for three students were reported as follows:Student Opie has a T-score of 60.Student
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
Do you agree that the efficient market hypothesis is dead? And if EMH is no longer valid, are the valuation models no longer an appropriate point of study?
A machine that packages 500-gram boxes of sugar-coated wheat cereal is being studied. The weights for a random sample of 100 boxes of cereal packaged by this machine are given in the attached
John Halikias, plant manager at HOU Vacuum Products, located in Patras, Ahaia, applies statistical thinking in his workplace. As a major supplier to automobile manufacturers, HOU wants to be sure
In a recent study of university libraries, undergraduate students were asked whether they thought that the libraries had an adequate collection of books. The survey results are stored in the attached
Do the data of Exercise 4 support the hypothesis that the proportion of students who think that the library collections are adequate is the same for all years of studies?1. State the null and the
MBA60 Inc. is a small, but growing, producer of hot and ready-to-eat breakfast cereals. Two machines are used for packaging 510-gram (18-ounce) boxes of sugar-coated wheat cereal. Estimate the
According to the American FactFinder website there were 197.8 million adults over the age of 25 in the United States in 2007. The table below shows the educational attainment for these adults. Use
We plan to operate a professional dishwasher. We need to choose between two types of tablets: Kalgonit and Ludwig. One jumbo-pack of the former costs $200 and lasts for 3 years. The latter are two
a. Construct a scatter diagram showing the relationship between returns on Stock Y and the market, and then draw a freehand approximation of the regression line. What is the approximate value of the
This problem will introduce the learner into a technique called Analysis of Variance. For this course we will only conduct a simple One-Way ANOVA and touch briefly on the important elements of this
Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon
1. Consider the following raw data, which is the result of selecting a random sample of 20 condominium sales in a particular development. The sale prices are given in thousands of dollars
A contract dispute between the National Football League and the Player’s Association arose regarding the retirement system. The NFL agreed to a settlement only if it could be shown convincingly
Bill Smith is the Worthington Township manager. When citizens request a traffic light, the staff assesses the traffic flow at the requested intersection. Township policy requires the installation of
An airline plans to initiate service at an airport in a city of approximately 500,000 people. To determine staffing requirements, officials for the airline take advantage of the sample survey data on
A marketing research firm wishes to estimate the proportion of adults who are planning to buy a new car in the next 6 months. A simple random sample of 100 adults led to 22 who were planning to buy a
An article in a trade journal reports that nationwide 28% of liquor purchases are made by women. If B & B Liquor’s proportion of sales to women is significantly different from the national
The Action Paper Company employs a human resources manager who is given responsibility for employee benefits. There is a question about the mean annual dental expense per employee. The manager
A large city claims that it provides “free lunch” to more than 30% of its elementary school students. A researcher selects a random sample of 200 students and finds that 72 were getting free
Anna packaged toy train sets. She is paid $1.15 per unit and is charged $0.45 for each rejection. Find her gross earnings for the week given the followingproduction
The Federal Government is stepping up efforts to reduce average response times of fire departments to fire calls. The distribution of mean response times to fire calls follows a normal distribution
Parker Seal, Inc. makes O-rings for newly planned commercial space shuttles. The rings are designed to seal connections and joint fillings in the fuel system to prevent leaks. One type of ring should
a) Calculate the probability of a type ii error for the following hypotheses when µ = 37: ho: µ = 40 h1: µ < 40 The significance level is 5%, the population standard deviation is
A new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the diamonds produced by the process is greater than 0.5 karat. To evaluate the
Your manager, who just read an abridged version of a statistics book, wants you to test hypotheses for the difference in two population means. The sample sizes for each are 23. He is adamant that you
An auditor for the U.S. Postal Service wants to examine its special two-day priority mail handling to determine the proportion of parcels that actually arrive within the promised two-day period. A
A sample of n=20 has a mean of M=40. If the standard deviation is s=5, would a score of x=55 be considered an extreme value? Why or why not?
The Human Resources (HR) group gives job applicants at a firm a personality test to assess how well they will fit into the firm and get along with colleagues. Historically, test scores have been
Rick Wing, salesperson for Wave Soldering Systems, Inc. (WSSI), has provided you with a proposal for improving the temperature control on your present machine. The machine uses a hot-air knife to
As VP for operations at Brian Normoyle Engineering, you must decide which product design, A or B, has the higher reliability. B is designed with backup units for components R3 and R4.What is the
John conducted a repeated-measures study to measure self-esteem among victims of domestic violence before and after they complete an 8-week program for abuse victims with 10 individuals. He
Researchers wanted to explore self-esteem in adolescent boys and adolescent girls. They used a 5-point Likert-type self-esteem inventory; a 1 = strongly disagree and 5 = strongly agree. Their results
Mary has an interest in doing a study to see if 6th graders are affected by noise level on a math lesson. She was planning to use 2 noise conditions and then analyze her outcomes using a t-test for
1. Capital Asset Pricing Model: If the expected return on the market is 13.47 percent and the risk-free rate is 4 percent, what is the expected return for a stock with a beta equal to 1.75? (Carry
Can demographic information be helpful in predicting sales at sporting goods stores? The data at left are monthly sales totals from a random sample of 38 stores in a large chain of nationwide
a. You are the manager of a fast food restaurant. You want to determine whether the population means waiting time to place an order has changed in the past month from its previous population mean
One of the important features of a camera is the battery life as measured by the number of shots taken until the battery needs to be recharged. The data at left contain the battery life of 31
A real estate Association in a suburban community would like to study the relationship between the size of a single-family house (as measured by number of rooms) and the selling price of the house
An Ad week Media/Harris Poll revealed that 44% of U.S. adults in the 18–34 years category think that “Made in America” ads boost sales. A different Harris Interactive poll showed that 78% of
According to a report by Scarborough Research, the average monthly household cellular phone bill is $73. Suppose local monthly household cell phone bills are normally distributed with a standard
To answer this question, use the Data Analysis Toolpack in Excel and select “t-Test: Two-Sample Assuming Equal Variances” from the list of available tools. Explain your answer (how did you decide
Do you agree that the efficient market hypothesis is dead? And if EMH is no longer valid, are the valuation models no longer an appropriate point of study?
Your firm is considering the following three alternative bank loans for $1,000,000:a) 10% loan paid at year end with no compensating balanceb) 9% loan paid at year end with a 20% compensating
An ambulance service claims that it takes on the average 8.9 min to reach its destination in emergency calls. The agency that licenses ambulance services timed them on 50 random emergency runs,
A statistics professor would like to determine whether students in the class showed improved performance on the final exam as compared to the midterm examination. A random sample of 7 students
For most products, higher prices result in a decreased demand, whereas lower prices result in an increased demand (economists refer to such products as normal goods). Letd = annual demand for a
Micromedia offers computer training seminars on a variety of topics. In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting.
Eastman Publishing Company is considering publishing a paperback textbook on spreadsheet applications for business. The fixed cost of manuscript preparation, textbook design, and production setup is
Preliminary plans are underway for construction of a new stadium for a major league baseball team. City officials question the number and profitability of the luxury corporate boxes planned for the
Financial Analysts, Inc., is an investment firm that manages stock portfolios for a number of clients. A new client has requested that the firm handle an $800,000 portfolio. As an initial investment
In 2006 the U.S. Internal Revenue Service (IRS) received 132,275,830 individual tax returns (The 2008 New York Times Almanac). The actual number of each type of individual return received by the IRS
In a recent article U.S. News and World Report rated pediatric hospitals and provided data on several characteristics, including daily inpatient volume and nurse-to-patient ratio, for the top 30
Hundreds of thousands of drivers dropped their automobile insurance in 2008 as the unemployment rate rose (Wall Street Journal, December 17, 2008). Sample data representative of the national
Interested in learning more about its fans, the marketing office of the Arena Football League (AFL) conducted a survey at one of its games. The survey had 989 respondents, 759 males and 230 females.
During a recent year, speeding was reported in 12.9% of all automobile accidents in the United States (The World Almanac 2010). Assume the probability that speeding is reported in an accident is
Recently, management at Oak Tree Golf Course received a few complaints about the condition of the greens. Several players complained that the greens are too fast. Rather than react to the comments of
A small private midwestern university has been accused of favoring male applicants in its admissions process. Prior to the current academic year, 44% of male applicants were admitted by the
College softball programs have a limited number of scholarships to offer promising high school seniors, so the programs invest a great deal of effort in evaluating these players. One measure of
Brandon Lang is a creative entrepreneur who has developed a novelty soap item called Jackpot to target consumers with a gambling habit. Inside each bar of Jackpot shower soap is a single rolled-up
The National Center for Health Statistics reported the following data on the number of children born in individual pregnancies in 1996 and 2006 (The World Almanac, 2010):a. Define a random variable x
The demand for Carolina Industries’ product varies greatly from month to month. Based on the past two years of data, the following probability distribution shows the company’s monthly demand:Unit
In 2003, the average stock price for companies making up the S&P 500 was $30, and the standard deviation was $8.20 (BusinessWeek, Special Annual Issue, Spring 2003). Assume the stock prices are
To boost holiday sales, a jewelry store in Bismarck, North Dakota, is advertising the following promotion: “If more than seven inches of cumulative snow fall on December 24, 25, 26, 27, and 28, you
Amy Lloyd is interested in leasing a new Honda and has contacted three automobile dealers for pricing information. Each dealer offered Amy a closed-end 36-month lease with no down payment due at the
The following profit payoff table was presented in Problem 1. Suppose that the decision maker obtained the probability assessments P(s1) = 0.65, P(s2) = 0.15, and P(s3) = 0.20.Use the expected value
If a soccer game ends in a tie, it goes into a penalty-kick shootout in which each team chooses five players to take penalty kicks. The team that makes the most subsequent penalty kicks wins the
ABC Inc. and XYZ Co. are the two dominant companies providing chargers, adapters, and other accessories for cell phones. Each of these Silicon Valley companies is developing a new line of smartphone
Refer to the time series data in Exercise 1. Using the average of all the historical data as a forecast for the next period, compute the following measures of forecast accuracy:a. Mean absolute
The Seneca Childrenâ€™s Fund (SCF) is a local charity that runs a summer camp for disadvantaged children. The fundâ€™s board of directors has been working very hard over recent years to
The Vintage Restaurant, on Captiva Island near Fort Myers, Florida, is owned and operated by Karen Payne. The restaurant just completed its third year of operation. During that time, Karen sought to
Eastern Chemicals produces two types of lubricating fluids used in industrial manufacturing. Both products cost Eastern Chemicals $1 per gallon to produce. Based on an analysis of current inventory
Refer to the sensitivity information for the Kelson Sporting Equipment problem in Figure 8.14 (see Problem 5).a. Determine the objective coefficient ranges.b. Interpret the ranges in part (a).c.
Refer to Figure 8.15, which shows the sensitivity report for Problem 7.a. How much would the return for U.S. Oil have to increase before it would be beneficial to increase the investment in this
Refer to the sensitivity report for Problem 14 in Figure 8.19.a. Interpret the ranges of optimality for the objective function coefficients.b. Suppose that the manufacturing cost increases to $11.20
Cranberries can be harvested using either a “wet” method or a “dry” method. Dry-harvested cranberries can be sold at a premium, while wet-harvested cranberries are used mainly for cranberry
The Bahama Nut Company sells three different half-pound bags of peanut mixes: Party Nuts, Mixed, and Premium Mix. These generate per-bag revenue of $1.00, $2.10, and $3.63, respectively. The tables
Bay Oil produces two types of fuels (regular and super) by mixing three ingredients. The major distinguishing feature of the two products is the octane level required. Regular fuel must have a
Star Power Company is a power company in the Midwest region of the United States. Star buys and sells energy on the spot market. Star can store power in a high-capacity battery that can store up to
GloFish, Inc. has genetically engineered a species of fish that glows in normal lighting conditions. The company believes the new fish will be a huge success as a new pet option for children and
Aggie Power Generation supplies electrical power to residential customers for many U.S. cities. Its main power generation plants are located in Los Angeles, Tulsa, and Seattle. The following table
Sports of All Sorts produces, distributes, and sells high-quality skateboards. Its supply chain consists of three factories (located in Detroit, Los Angeles, and Austin) that produce skateboards. The
If the Albany highway system described in Problem 29 has revised flow capacities as shown in the following network, what is the maximal flow in vehicles per hour through the system? How many vehicles
Offhaus Manufacturing produces office supplies, but outsources the delivery of its products to third party carriers. Offhaus ships to 20 cities from its Dayton, Ohio, manufacturing facility and has
Dave has $100,000 to invest in 10 mutual fund alternatives with the following restrictions. For diversification, no more than $25,000 can be invested in any one fund. If a fund is chosen for
Consider the Western Hills Shopping Center Project summarized by Figure 13.6 and Table 13.2. Suppose the project has been underway for seven weeks. Activities A and E have been completed. Activity F
At a local university, the Student Commission on Programming and Entertainment (SCOPE) is preparing to host its first rock concert of the school year. To successfully produce this rock concert, SCOPE
Because Landon Corporation (see Problem 19) is being pressured to complete the product development project at the earliest possible date, the project leader requested that the possibility of crashing
Use the single-server drive-up bank teller operation referred to in Problems 1 and 2 to determine the following operating characteristics for the system:a. The probability that no customers are in
Use the single-server drive-up bank teller operation referred to in Problems 1–3 to determine the probabilities of 0, 1, 2, and 3 customers in the system. What is the probability that more than
For the Burger Dome single-server waiting line in Section 15.2, assume that the arrival rate is increased to 1 customer per minute and that the service rate is increased to 1.25 customers per minute.
A study of the multiple-server food-service operation at the Red Birds baseball park shows that the average time between the arrival of a customer at the food-service counter and his or her departure
To understand how a multiple-server waiting line system with a shared queue compares to a multiple-server waiting line system with a dedicated queue for each server, reconsider the Burger Dome
Major League Baseball’s World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves are in the World Series and that the first

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