1. The student news service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. They create and distribute a survey of 14 questions...
The following table contains time series data for regular gasoline prices in the United States for 36 consecutive months: a. Create a line chart for these time series data. What interpretations can...
An airport ticket counter has a service rate of 180 per hour, exponentially distributed, with Poisson arrivals at the rate of 120 per hour. Find the operating characteristics of this system.
According to the article "Optimization of Distribution Parameters for Estimating Probability of Crack Detection" (J. of Aircraft, 2009: 2090-2097), the following "Palmberg" equation is commonly used...
The analysis of shafts for a compressor is summarized by conformance to specifications:
An oil drilling company ventures into various locations, and its success or failure is independent from one location to another. Suppose the probability of a success at any specific location is 0.25....
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 dataset corresponding to the exercise on the DVD holds various measures of the 50 United States. The Murder rate is per 100,000, HS Graduation rate is in %, Income is per capita income in...
The following table gives the frequency distribution of the amounts of telephone bills for August 2012 for a sample of 50 families. Amount of Telephone Bill (dollars) Number of Families 40 to less...
Prices for used stainless steel side trim for a 1957 Chevrolet convertible are $350, $350, $390, $400, $500, $500, $500, $600, $650, $725, $800, $850, $900, and $1,700. The prices vary depending on...
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"...
In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is selected at random, find the...
Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled,...
On a certain run of a commuter train, the average number of passengers is 476 and the standard deviation is 22. Assume the variable is normally distributed. If the train makes the run, find the...
One of the objectives of the control plan in DMAIC is to hold the gain. What does this mean?
Develop your own original LP problem with two constraints and two real variables. (a) Explain the meaning of the numbers on the right-hand side of each of your constraints. (b) Explain the...
A tube of Listerine Tartar Control toothpaste contains 4.2 ounces. As people use the tooth paste, the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube...
In a Harris poll of 2513 adults, 76% said that they prefer $1 to be in the form of paper currency. a. What is the exact value that is 76% of 2513? b. Could the result from part (a) be the actual...
Two distinct solid fuel propellants, type A and type B, are being considered in a space program activity. Burning rates on the propellant are crucial. Random samples of 20 specimens of the two...
Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is considering two designs. Tests on customer checkout times conducted at two stores where the...
White boxers are dogs that have a genetic disposition for going deaf within the first year after they are born. Suppose a litter of nine white boxer puppies contained two dogs that would eventually...
Shown is the graph of a force function (in newtons) that increases to its maximum value and then remains constant. How much work is done by the force in moving an object a distance of 8 m? F. (N) 30...
The average total dollar purchase at a convenience store is less than that at a supermarket. Despite smaller-ticket purchases, convenience stores can still be profitable because of the size of...
GfK Roper Reports Worldwide surveyed people, asking them How important is acquiring wealth to you? The percent who responded that it was of more than average importance were: 71.9% China, 59.6%...
The mean annual cost of automobile insurance is $939 (CNBC, February 23, 2006). Assume that the standard deviation is = $245. a. What is the probability that a simple random sample of automobile...
Steves Mountain Bicycle Shop is considering three options for its facility next year. Steve can expand his current shop, move to a larger facility, or make no change. With a good market, the annual...
A local cable TV/Internet/phone provider charges new customers $99 for all three services, per month, for the first year under their "3 for 99" promotion. Joanne normally pays $54 for her monthly...
Chemical reactions often follow the model: dc/dt = k c n where c = concentration, t = time. k = reaction rate, and n = reaction order. Given values of c and dc / dt , k and n can be evaluated by a...
In October 1947, the Gallup organization surveyed 1100 adult Americans and asked, Are you a total abstainer from, or do you on occasion consume, alcoholic beverages? Of the 1100 adults surveyed, 407...
An online survey of 1,000 adults asked, What do you buy from your mobile device? The results indicated that 61% of the females said clothes as compared to 39% of the males. (Data extracted from...
You need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you...
In Exercise 6.1-7, lead concentrations near the San Diego Freeway in 1976 are given. During the fall of 1977, the weekday afternoon lead concentrations (in g/m3) at the measurement station near the...
The results of a census of 2,500 employees of a mid-sized company with 401(k) retirement accounts are as follows: Suppose researchers are going to sample employees from the company for further study....
Despite reports that dark chocolate is beneficial to the heart, 47% of adults still prefer milk chocolate to dark chocolate.11 Suppose a random sample of n = 5 adults is selected and asked whether...
A manufacturer of electronic components is interested in determining the lifetime of a certain type of battery. A sample, in hours of life, is as follows: 123, 116, 122, 110, 175, 120, 125, 111, 118,...
The Burger Dome waiting line model in Section 16.1 studies the waiting time of customers at its fast-food restaurant. Burger Domes single-channel waiting line system has an arrival rate of 0.75...
A local brewery wishes to ensure that an average of 12 ounces of beer is used to fill each bottle. In order to analyze the accuracy of the bottling process, the bottler takes a random sample of 48...
A new edition of a very popular textbook will be published a year from now. The publisher currently has 2000 copies on hand and is deciding whether to do another printing before the new edition comes...
In June 2010, a random poll of 800 working men found that 9% had taken on a second job to help pay the bills. (www.careerbuilder.com) a) Estimate the true percentage of men that are taking on second...
A politician wants to estimate the proportion of constituents favoring a controversial piece of proposed legislation. Suppose that a 99% confidence interval that extends at most 0.05 on each side of...
Baseballs 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 playing the Minnesota Twins in the World Series and that...
The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions ("Experimental Measurement of the Stopping Performance of a...
When will the world run out of oil? One way to judge is to determine the oil reserves of the countries around the world. The next table displays the known oil reserves of the top 15 countries....
Suppose the annual employer 401(k) cost per participant is normally distributed with a standard deviation of $625, but the mean is unknown. a. If 73.89% of such costs are greater than $1,700, what is...
The following data represent the muzzle velocity (in feet per second) of rounds red from a 155-mm gun. For each round, two measurements of the velocity were recorded using two different measuring...
A trough is filled with a liquid of density 840 kg/m3. The ends of the trough are equilateral triangles with sides 8 m long and vertex at the bottom. Find the hydrostatic force on one end of the...
Ficks first diffusion law states that Where mass flux = the quantity of mass that passes across a unit area per unit time (g/cm2/s), D = a diffusion coefficient (cm2/s), c = concentration, and x =...
Zuckerman Wiring and Electric is a company that installs wiring and electrical fixtures in residential construction. John Zuckerman has been concerned with the amount of time that it takes to...
Not included in the table below is a diamond with a weight of 1.50 carats. Find the best predicted price for this diamond. Is the result close to the actual price of $16,097? What is wrong with...
A taxi company is interested in the relationship between mileage, measured in miles per gallon, and the age of cars in its fleet. The 12 fleet cars are the same make and size and are in good...
Reconsider Hugh Liedtkes decision as diagrammed in Figure 4.2. Note that three strategies are possible: (1) accept $2 billion, (2) counteroffer$5 billion and then accept $3 billion if Texaco...
Bighorn sheep are beautiful wild animals found throughout the western United States. Data for this problem are based on information taken from The Desert Bighorn, edited by Monson and Sumner...
In order to estimate the mean 30-year fixed mortgage rate for a home loan in the United States, a random sample of 28 recent loans is taken. The average calculated from this sample is 5.25%. It can...
The lowest and highest observations in a population are 20 and 80, respectively. What is the minimum sample size n required to estimate with 80% confidence if the desired margin of error is E = 2.6...
1. A Poisson model is well suited to this application so long as the defects come in small clusters of two or three together. 2. To use a Poisson model for the number of defects, we must assume that...
Use the data in 401KSUBS.RAW for this exercise. (i) Compute the average, standard deviation, minimum, and maximum values of nettfa in the sample. (ii) Test the hypothesis that average nettfa does not...
(a) Find P (T < 2.3G5) when v = 7. (b) Find P (T > 1.318) when v = 24. (c) Find F (1.356 < T < 2.179) when v = 12. (d) Find P (T > 2.567) when r = 17.
According to a survey by Topaz Enterprises, a travel auditing company, the average error by travel agents is $128. Suppose this figure was obtained from a random sample of 41 travel agents and the...
The National Occupant Protection Use Survey (NOPUS) was conducted to provide probability-based data on motorcycle helmet use in the United States. The survey was conducted by sending observers to...
A manufacturing company designed a factorial experiment to determine whether the number of defective parts produced by two machines differed and if the number of defective parts produced also...
The vertical stress z under the corner of a rectangular area subjected to a uniform load of intensity q is given by the solution of Boussinesqs equation: Because this equation is inconvenient to...
Supermarkets often place similar types of cereal on the same supermarket shelf. The shelf placement for 77 cereals was recorded as well their sugar content. Does sugar content vary by shelf? Heres a...
The Ventura County Star article mentioned in Exercise 7.41 also reported that 25% of the residents of Huntington Park lived in poverty. Suppose a random sample of 400 residents of Huntington Park is...
A StatCrunch survey asked people whether they preferred cats or dogs and how many pets they had. (Those who preferred both cats and dogs and those who preferred another type of pet are not included...
A total charge Q is uniformly distributed around a ring-shaped conductor with radius ?. A charge q is located at a distance x from the center of the ring (Figure). The force exerted on the charge by...
When using a control chart, what are some patterns that would indicate that the process is out of control?
Many students accumulate debt by the time they graduate from college. Shown in the following table is the percentage of graduates with debt and the average amount of debt for these graduates at four...
Minnesota had the highest turnout rate of any state for the 2012 presidential election (United States Election Project website, February 9, 2013). Political analysts wonder if turnout in rural...
An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region...
The data set on roller coasters from Chapter 6, Exercise 23 lists the Duration of the ride in seconds in addition to the Drop height in feet. One coaster (the "Tower of Terror") is unusual for having...
Suppose the number of different computers used by a student last week has distribution Value Probability 0..............................3 1............................. .4...
A normal population has mean 100 and variance 25. How large must the random sample be if we want the standard error of the sample average to be 1.5?
Many of todays leading companies, including Google, Microsoft, and Facebook, are based on technologies developed within universities. Lisa Fisher is a business school professor who would like to...
Miraculina protein naturally produced in a rare tropical fruitcan convert a sour taste into a sweet taste. Consequently, miraculin has the potential to be an alternative low-calorie sweetener. In...
Suppose that you are given a decision situation with three possible states of nature: s1, s2, and s3. The prior probabilities are P(s1) = 0.2, P(s2) = 0.5, and P(s3) = 0.3. With sample information I,...
Refer to the Buena School District bus data. Prepare a report on the maintenance cost for last month. Be sure to answer the following questions in your report. a. Around what values do the data tend...
During the past year, on the average 289 books were checked out daily from the public library in Stucco, Wyoming. This year, the city fathers of Stucco have attempted to increase circulation through...
Use the data in HSEINV.RAW for this exercise. (i) Find the first order autocorrelation in log(mvpc). Now. find the autocorrelation after linearly detrending log(invpc). Do the same for log( price)....
A company that tracks the use of its web site determined that the more pages a visitor views, the more likely the visitor are to provide contact information. Use the following tables to answer the...
An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle with the plane, then the magnitude of the force is where...
Suppose that we dont have a formula g(x) for but we know that g(2) = 4 and g(x) = x2 + 5 for all x. (a) Use a linear approximation to estimate g(1.95) and g(2.05). (b) Are your estimates in part (a)...
Find the approximations Ln, Rn, Tn, and Mn, for n = 4, 8, and 16. Then compute the corresponding errors EL, ER, ET, and EM. (Round your answers to six decimal places you may wish to use the sum...
(a) Find P( t0.005 < T < t0.01) for v = 20. (b) Find P(T> -t0.025).
Patients arrive at the emergency room of Costa Valley Hospital at an average of 5 per day. The demand for emergency room treatment at Costa Valley follows a Poisson distribution. (a) Using Appendix...
Jerilyn Ross, a New York City psychologist, specializes in treating patients who are phobic and afraid to leave their homes. The following table indicates how many patients Dr. Ross has seen each...
There are two major college entrance exams that a majority of colleges accept for admission, the SAT and ACT. ACT looked at historical records and established 21 as the minimum score on the ACT...
In the early 1980s, New England Electric System (NEES) was deciding how much to bid for the salvage rights to a grounded ship, the SS Kuniang. If the bid were successful, the ship could be repaired...
You place a frozen pie in an oven and bake it for an hour. Then you take it out and let it cool before eating it. Describe how the temperature of the pie changes as time passes. Then sketch a rough...
Find the quadratic approximation P(x) = A + Bx + Cx2 to the function f(x) = cos x that satisfies conditions (i), (ii), and (iii) with a = 0. Graph P, f, and the linear approximation L(x) = 1 on a...
Drink-At-Home, Inc. (DAH, Inc.), develops, processes, and markets mixes to be used in nonalcoholic cocktails and mixed drinks for home consumption. Mrs. Lee, who is in charge of research and...
A coffee manufacturer is interested in whether the mean daily consumption of regular- coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for...
Which of the following statements are true? a. If each of 25 sample values is equal to 20 min, the standard deviation of the sample is 0 min. b. For any set of sample values, the standard deviation...
Data Set 11 in Appendix B lists ages of actresses when they won Oscars, and the summary statistics are n = 82, f = 35.9 years, and s = 11.1 years. Use a 0.01 significance level to test the claim that...
Consider the situation in Example 8.7. A new gauge is being evaluated for this process. The same operator measures the same 20 parts twice using the new gauge and obtains the data shown in Table...
A man initially standing at the point O walks along a pier pulling a rowboat by a rope of length L. The man keeps the rope straight and taut. The path followed by the boat is a curve called a...
A study measures the sorption (either absorption or adsorption) rate of three different types of organic chemical solvents. These solvents are used to clean industrial fabricated-metal parts and are...
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...
The demand for a product of Carolina Industries varies greatly from month to month. The probability distribution in the following table, based on the past two years of data, shows the companys...
The mean serves as the balance point for any distribution because the sum of all scores, expressed as positive and negative distances from the mean, always equals zero. (a) Show that the mean...
Your new firm is introducing two products, a bicycle trailer and a baby carriage for jogging. Your subjective probabilities of success for these products are 0.85 and 0.70, respectively. If the...