A sociologist claims that children ages 1214 spent less time sleeping in 1981 than children ages 1214 do today. A study was conducted in 1981 to find the time that children ages 1214 spent sleeping...

Leah Sanchez might have a different objective than maximizing expected profit. How does her optimal order quantity change if her objective is to minimize leftovers? What if her objective is to...

A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup. A B R

Use Taylors Inequality to determine the number of terms of the Maclaurin series for ex that should be used to estimate e0.1 to within 0.00001.

The proportion of the budgets for a certain type of industrial company that is allotted to environmental and pollution control is coming under scrutiny. A data collection project determines that the...

A city council is deciding whether or not to spend additional money to reduce the amount of traffic. The council decides that it will increase the transportation budget if the amount of waiting time...

A seven-year medical research study reported that women whose mothers took the drug DES during pregnancy were twice as likely to develop tissue abnormalities that might lead to cancer as were women...

A soft-drink company produces 100,000 12-ounce bottles of soda per year. By adjusting a dial, the company can set the mean number of ounces placed in a bottle. Regardless of the mean, the standard...

After retiring as a physician, Bob Guthrie became an avid downhill skier on the steep slopes of the Utah Rocky Mountains. As an amateur inventor, Bob was always looking for something new. With the...

Harris Segal, marketing director for North-Central Power and Light, is about to begin an advertising campaign promoting energy conservation. In trying to budget between television and newspaper...

A survey of 2,645 consumers by DDB Needham Worldwide of Chicago for public relations agency Porter/Novelli showed that how a company handles a crisis when at fault is one of the top influences in...

Refer to the description of Century National Bank at the end of the Review of Chapters 14 on page 128. With many other options available, customers no longer let their money sit in a checking...

Given a shaky economy and high heating costs, more and more households are struggling to pay utility bills (The Wall Street Journal, February, 14, 2008). Particularly hard hit are households with...

Over the past few years the percentage of students who leave Lakeland College at the end of the first year has increased. Last year Lakeland started a voluntary one-week orientation program to help...

The Xiomaras have an adjusted gross income of $137,865. They are looking at a new house that would have a monthly mortgage payment of $1,687. Their annual property taxes would be $7,550 and their...

The Mendez Mortgage Company case study was given in Chapter 2. A random sample of n = 350 accounts of the company's total portfolio was selected. Estimate the proportion of all the company's accounts...

The U.S. Postal Service will ship a Priority Mail Large Flat Rate Box (12" 3 12" 3 5") anywhere in the United States for a fixed price, regardless of weight. The weights (ounces) of 20 randomly...

Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 20...

The following questions refer to a capital budgeting problem with six projects represented by binary variables x1, x2, x3, x4, x5, and x6. a. Write a constraint modeling a situation in which two of...

The table shows the number of live births per 1000 population in the United States, starting in 1965. a) Make a scatterplot and describe the general trend in Birthrates. (Enter Year as years since...

The Excel file HATCO consists of data related to predict predicting the level of business (Usage Level) obtained from a survey of purchasing managers of customers of an industrial supplier, HATCO....

Consumers spend an average of $21 per week in cash without being aware of where it goes (data extracted from "Snapshots: A Hole in Our Pockets," USA Today, January 18, 2010, p. 1A). Assume that the...

In the year that this exercise was written, there were 611 challenges made to referee calls in professional tennis singles play. Among those challenges, 172 were upheld with the call overturned....

A fraction nonconforming control chart has center line 0.01, UCL = 0.0399, LCL = 0, and n = 100. If three-sigma limits are used, find the smallest sample size that would yield a positive lower...

Show that in Example 7.3.2 it must be true that V 0.01 after 22 items have been selected. Also show that V > 0.01 until at least seven items have been selected.

Beer sales at the Shapiro One-Stop Store are analyzed using temperature and number of people (age 21 or over) on the street as independent variables. A random sample of 20 days is selected, and the...

In the design of an electromechanical product, seven different components are to be stacked into a cylindrical casing that holds 12 components in a manner that minimizes the impact of shocks. One end...

For each scenario described below, state whether or not the binomial distribution is a reasonable model for the random variable and why. State any assumptions you make. (a) A production process...

A random sample of 200 adults is classified below by sex and their level of education attained.If a person is picked at random from this group, find the probability that(a) The person is a male,...

Professor Green gives two-month computer programming courses during the summer term. Students must pass a number of exams to pass the course, and each student is given three chances to take the...

The average number of annual trips per family to amusement parks in the United States is Poisson distributed, with a mean of 0.6 trips per year.What is the probability of randomly selecting an...

Use the methods of descriptive statistics presented in this chapter to summarize the data and comment on your findings. At a minimum, your report should include the following: 1. Descriptive...

Wawa Corporation operates 570 convenient food stores in Delaware, Maryland, New Jersey, Pennsylvania, and Virginia. Suppose the companys managers have a goal that customer satisfaction is to average...

A certain linear programming model involving two activities has the feasible region shown below. The objective is to maximize the total profit from the two activities. The unit profit for activity 1...

The data below show the sugar content (as a percentage of weight) of several national brands of children's and adults' cereals Create and interpret a 95% confidence interval for the difference in...

A bearing assembly contains 10 bearings. The bearing diameters are assumed to be independent and normally distributed with a mean of 1.5 millimeters and a standard deviation of 0.025 millimeter. What...

According to the Air Transport Association of America, the average operating cost of an MD-80 jet airliner is $2,087 per hour. Suppose the operating costs of an MD-80 jet airliner are normally...

Consider the following approach for testing whether a classifier A beats another classifier B. Let N be the size of a given data set, pA be the accuracy of classifier A, pB be the accuracy of...

Internet Magazine monitors Internet service providers (ISPs) and provides statistics on their performance. The average time to download a Web page for free ISPs is approximately 20 seconds for...

In a medium-sized southern city, 86 houses are for sale, each having about 2000 square feet of floor space. The asking prices vary. The frequency distribution shown contains the price categories for...

Women have heights with a mean equal to 160.00 cm. the hypothesis test results in a P-value of 0.0614. Assume a significance level of = 0.05 a. State a conclusion about the null hypothesis. b....

The histogram shows the distribution of the number of televisions in the homes of 90 community college students. a. According to the histogram, about how many homes do not have a television? b. How...

One of the cars sold by Walts car dealership is a very popular subcompact car called Rhino. The final sale price of the basic model of this car varies from customer to customer depending on the...

The Baily Hill Bicycle Shop sells mountain bikes and offers a maintenance program to its customers. The manager has found the average repair bill during the maintenance programs first year to be...

Betsy and Rich Crosmour are married with two children. Rich is a chef and Betsy is a designer. This information was reported on their W-2 forms. Betsy and Rich received $1,287.43 in interest on bank...

Given the following information obtained from three normally distributed populations, construct an ANOVA table and perform an ANOVA test of mean differences at the 1% significance level. SSTR =...

1. Develop numerical summaries of the data. 2. Using overall score as the dependent variable, develop three scatter diagrams, one using price as the independent variable, one using the number of...

A website manager has noticed that during the evening hours, about 3 people per minute check out from their shopping cart and make an online purchase. She believes that each purchase is independent...

Find the mean and standard deviation for the numbers of girls in 8 births. Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The...

Data were collected on the number of operating rooms in use at Tampa General Hospital over a 20-day period. On 3 of the days only one operating room was used; on 5 days, two were used; on 8 days,...

Five administrative assistants use an office copier. The average time between arrivals for each assistant is 40 minutes, which is equivalent to an arrival rate of 1/40 = 0.025 arrival per minute. The...

In a CNNMoney.com poll conducted on July 13, 2010, a sample of 5,324 Americans were asked about what matters most to them in a place to live. Thirty-seven percent of the respondents felt job...

A movie production company is releasing a movie with the hopes of many viewers returning to see the movie in the theater for a second time. Their target is to have 30 million viewers, and they want...

The data from exercise 3 follow. The estimated regression equation for these data is y = 7.6 + .9x. What percentage of the total sum of squares can be accounted for by the estimated regression...

In Olympic running events, preliminary heats are determined by random draw, so we should expect the ability level of runners in the various heats to be about the same, on average. The table gives the...

A random sample of six salespeople who attended a motivational course on sales techniques was monitored 3 months before and 3 months after the course. The table shows the values of sales (in...

Survey evidence is often introduced in court cases involving trademark violation and employment discrimination. There has been controversy, however, about whether non probability samples are...

The time between surface finish problems in a galvanizing process is exponentially distributed with a mean of 40 hours. A single plant operates three galvanizing lines that are assumed to operate...

Average talk time between charges of a cell phone is advertised as 4 hours. Assume that talk time is normally distributed with a standard deviation of 0.8 hour. a. Find the probability that talk time...

A city in Ohio is considering replacing its fleet of gasoline-powered automobiles with electric cars. The manufacturer of the electric cars claims that this municipality will experience significant...

A company that produces cell phones claims its standard phone battery lasts longer on average than other batteries in the market. To support this claim, the company publishes an ad reporting the...

A 2012 Gallup Poll reported that only 581 out of a total of 2004 U.S. adults said they had a great deal of confidence or quite a lot of confidence in the public school system. This was down 5...

Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Business Bureau are often banks, cable and satellite television companies,...

Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14...

An Izod impact test was performed on 20 specimens of PVC pipe. The sample mean is X = 1.25 and the sample standard deviation is x = 0.25. Find a 99% lower confidence bound on Izod impact strength.

Morton Financial must decide on the percentage of available funds to commit to each of two investments, referred to as A and B, over the next four periods. The following table shows the amount of new...

Newton Manufacturing produces scientific calculators. The models are N350, N450, and the N900. Newton has planned its distribution of these products around eight customer zones: Brazil, China,...

The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $3.94 (US EIA website, April 6, 2012). The US EIA updates its estimates of...

According to the Crown ATM Network, the mean ATM withdrawal is $67. PayEase, Inc., manufacturers an ATM that allows one to pay bills (electric, water, parking tickets, and so on), as well as withdraw...

You work in the corporate office for a nationwide convenience store franchise that operates nearly 10,000 stores. The per-store daily customer count has been steady, at 900, for some time (i.e., the...

The motion of a spring that is subject to a frictional force or a damping force (such as a shock absorber in a car) is often modeled by the product of an exponential function and a sine or cosine...

A window has the shape of a square surmounted by a semicircle. The base of the window is measured as having width 60 cm with a possible error in measurement of 0.1 cm. Use differentials to estimate...

The National Credit Union has $250,000 available to invest in a 12-month commitment. The money can be placed in Treasury notes yielding an 8% return or in municipal bonds at an average rate of return...

The Coca-Cola Company is the number-one seller of soft drinks in the world. Every day an average of more than 1.5 billion servings of Coca-Cola, Diet Coke, Sprite, Fanta, and other products of...

Some fast-food chains offer a lower-priced combination meal in an effort to attract budget-conscious customers. One chain test-marketed a burger fries and a drink combination for $1.71. The weekly...

A sample of 80 results in 30 successes. a. Calculate the point estimate for the population proportion of successes. b. Construct 90% and 99% confidence intervals for the population proportion. c. Can...

The amounts of sugar (grams of sugar per gram of cereal) and calories (per gram of cereal) were recorded for a sample of 16 different cereals. TI-83/84 Plus calculator results are shown here. Is...

Suppose that the average time a fully charged 6 volt laptop battery will operate a computer is 3.2 hours and follows the exponential probability distribution. a. Determine the probability that the...

Control charts for x and R are to be established to control the tensile strength of a metal part. Assume that tensile strength is normally distributed. Thirty samples of size n= 6 parts are collected...

Shafer Office Supplies has four distribution centers located in Atlanta, Cincinnati, Chicago, and Salt Lake City, and ships to 12 retail stores located in Portland, San Jose, Las Vegas, Tucson,...

An automotive parts company has been besieged with poor publicity over the past few years due to several highly publicized product recalls which have tarnished its public image. This has prompted a...

Researchers wondered whether the size of a persons brain was related to the individuals mental capacity. They selected a sample of right-handed introductory psychology students who had SAT scores...

In 2007, Apple stock had a mean daily volume of 35.1 million shares, according to Yahoo!Finance. A random sample of 40 trading days in 2010 resulted in a sample mean of 23.6 million shares with a...

Given a random sample size of n = 900 from a binomial probability distribution with P = 0.50 do the following: a. Find the probability that the number of successes is greater than 500. b. Find the...

A woman inherited $356,000. As she had no immediate need for the money at the time she inherited, she decided to invest some or all of it on January 1, 20In, with a goal of making the money grow to...

The Durham Insurance Company sells a five-year term insurance policy with face value of $100,000 to a 47-year-old man for a monthly premium of $63. The mortality table is given below. d. What is the...

An online survey asked 1,004 adults "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 9% of the...

Graphically solve the following problem: (a) What is the optimal solution? (b) Change the right-hand side of constraint 1 to 11 (instead of 10) and resolve the problem. How much did the profit...

The J. Mehta Company's production manager is planning for a series of 1-month production periods for stainless steel sinks. The demand for the next 4 months is as follows: DEMAND FOR MONTH STAINLESS...

A university administrator has collected data on total Scholastic Aptitude Test (SAT) score versus freshman grade point average (GPA) for a sample of students who recently finished their first year...

Required Tasks: - Assuming that incomes can be approximated using a normal distribution with the specified mean and standard deviation, calculate the income that cut off the bottom 10% of incomes. -...

Time magazine article about a survey of men's attitudes reported that 11 of 161 black respondents and 20 of 358 Latino respondents responded "Yes" to the question "Are you a stay-at-home dad?" How...

(a) Program a calculator or computer to use Eulers method to compute y(1), where y(x) is the solution of the initial-value problem (i) h = 1 (ii) h = 0.1 (iii) h = 0.01 (iv) h = 0.001 (b) Verify that...

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 households is monitored for one year to determine aluminum usage. If the...

The Seneca Childrens Fund (SCF) is a local charity that runs a summer camp for disadvantaged children. The funds board of directors has been working very hard over recent years to decrease the amount...

The following data represent commute times (in minutes) and score on a well-being survey. Commute Time Gallup-Healthways Well-Being (minutes), x ....... Index Composite Score, y 5 .......... 69.2 15...

The file Sedans contains the overall miles per gallon (MPG) of 2014 midsized sedans: a. Construct a 95% confidence interval estimate for the population mean MPG of 2014 midsized sedans, assuming a...

An x chart is used to control the mean of a normally distributed quality characteristic. It is known that = 6.0 and n = 4. The center line = 200, UCL = 209, and LCL = 191. If the process mean shifts...

The data in Table P-16 show seasonally adjusted quarterly sales for Dickson Corporation and for the entire industry for 20 quarters. a. Fit a linear regression model, and store the residuals. Plot...

An investment opportunity boasts that the chance of doubling your money in 3 years is 95%. However, when you research the details of the investment, you estimate that there is a 3% chance that you...