Poindexter received a 55 on a biology test (X = 50) and a 45 on a philosophy test (X = 50). He is considering whether to ask his two professors to curve the grades using z-scores. (a) Does he want...

For 100 births, P(exactly 56 girls) = 0.0390 and P(56 or more girls) = 0.136. Is 56 girls in 100 births a significantly high number of girls? Which probability is relevant to answering that question?

Suppose that a spherical droplet of liquid evaporates at a race that is proportional to its surface area. dV/dt = kA Where V = volume (mm 3 ), t = time (h), k = the evaporation rater (mm/hr), and A...

A uniform distribution is defined over the interval from 2 to 5. a. What are the values for a and b? b. What is the mean of this uniform distribution? c. What is the standard deviation? d. Show that...

A random sample of size n = 50 is taken from a population with mean = - 9.5 and standard deviation =2. a. Calculate the expected value and the standard error for the sampling distribution of the...

Use the tabular and graphical methods of descriptive statistics to learn how these variables contribute to the success of a motion picture. Include the following in your report. Tabular and graphical...

Here are weekly instruction times for school children in different countries: 23.8 hours (Japan), 26.9 hours (China), 22.2 hours (U.S.), 24.6 hours (U.K.), 24.8 hours (France). What do these results...

A psychiatrist wants to know whether the level of pathology (Y) in psychotic patients 6 months after treatment can be predicted with reasonable accuracy from knowledge of pretreatment symptom ratings...

By definition, the inverse sine w = arc sin z is the relation such that sin w = z. The inverse cosine w arcos z is the relation such that cos w = z. The inverse tangent, increase cotangent, inverse...

The average number of field mice per acre in a 5-acre wheat field is estimated to be 12. Find the probability that fewer than 7 field mice are found (a) On a given acre; (b) On 2 of the next 3 acres...

According to a study published in the New England Journal of Medicine, overweight people on low-carbohydrate and Mediterranean diets lost more weight and got greater cardiovascular benefits than...

Consider a multinomial experiment with n = 250 and k = 4. The null hypothesis to be tested is H0: p1 = p2 = p3 = p4 = 0.25. The observed frequencies resulting from the experiment are a. Specify the...

A data set of 5 observations for Concession Sales per person ($) at a theater and Minutes before the movie begins results in the following estimated regression model: Sales = 4.3 + 0.265 Minutes. The...

An economics student wishes to see if there is a relationship between the amount of state debt per capita and the amount of tax per capita at the state level. Based on the following data, can she or...

The article Theaters Losing Out to Living Rooms (San Luis Obispo Tribune, June 17, 2005) states that movie attendance declined in 2005. The Associated Press found that 730 of 1000 randomly selected...

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...

The following cross tabulation shows the number of households (1000s) in each of the four regions of the United States and the number of households at each income level (U.S. Census bureau website,...

The figure shows a semicircle with radius 1, horizontal diameter PQ, and tangent lines at P and Q. At what height above the diameter should the horizontal line be placed so as to minimize the shaded...

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...

The past records of a supermarket show that its customers spend an average of $95 per visit at this store. Recently the management of the store initiated a promotional campaign according to which...

During an annual heating season, the average gas bill for customers in a New England community heating their homes with gas was $457. Assuming a normal distribution and a standard deviation of $80:...

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...

According to Salary Wizard, the average base salary for a brand manager in Houston, Texas, is $88,592 and the average base salary for a brand manager in Los Angeles, California, is $97,417 (Salary...

The December 2011 Consumer Reports study described in Exercise 19 also found that 12 of the 22 "red snapper" packages tested were a different kind of fish. a) Are the conditions for creating a...

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.

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...

Consider the following cumulative relative frequency distribution. Class .......... Cumulative Relative Frequency 150 up to 200 ...... 0.10 200 up to 250 ...... 0.35 250 up to 300 ...... 0.70 300 up...

Annual growth rates for individual firms in the toy industry tend to fluctuate dramatically, depending on consumers tastes and current fads. Consider the following growth rates (in percent) for two...

Read each of the following statements. Assuming that statistical hypotheses are set up to test them, classify each as a one-tailed or a two-tailed test. a. Maritz Marketing Research reports that 42%...

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...

Federal resources have been tentatively approved for the construction of an outpatient clinic. In order to design a facility that will handle patient load requirements and stay within a limited...

Suppose that, on the average, 1/3 of the graduating seniors at a certain college have two parents attend the graduation ceremony, another third of these seniors have one parent attend the ceremony,...

Use the data in HPRICE1 .RAW to estimate the model Price = (0 + (1 sqrft + (2 bdrms + u, where price is the house price measured in thousands of dollars. (i) Write out the results in equation form....

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...

The Steelcase Workplace Index studied the types of workrelated activities that Americans did while on vacation in the summer. Among other things, 40% read work-related material. Thirty-four percent...

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...

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:

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...

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...

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...

Models of inventory systems frequently consider the relationships among a beginning inventory, a production quantity, a demand or sales, and an ending inventory . For a given production period j, let...

The probability histogram represents the number of rooms in rented housing units in 2009. (a) What is the probability that a randomly selected rental unit has ï¬ve rooms? (b) What is the...

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...

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...

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...

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...

1. All other things the same, a 90% confidence interval is shorter than a 95% confidence interval. 2. Ninety-five percent z-intervals have the form of a statistic plus or minus 3 standard errors of...

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...

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...

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...

When bonding teeth, ortho dontists must maintain a dry field. A new bonding adhesive (called "Smartbond") has been developed to eliminate the necessity of a dry field. However, there is concern that...

A control chart is used to control the fraction nonconforming for a plastic part manufactured in an injection molding process. Ten subgroups yield the data in Table 7E.9. (a) Set up a control chart...

Refer to the Kelson Sporting Equipment problem (Chapter 2, Problem 24). Letting R = number of regular gloves C = number of catcher's mitts Leads to the following formulation: Max 5R + 8C s.t. R +...

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...

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,...

One of the objectives of the control plan in DMAIC is to hold the gain. What does this mean?

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,...

In a study of incentives used by companies to retain mature workers by The Conference Board, it was reported that 41% use flexible work arrangements. Suppose that of those companies that do not use...

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...

The automobile industry sold 657,000 vehicles in the United States during January 2009 (The Wall Street Journal, February 4, 2009). This volume was down 37% from January 2008 as economic conditions...

Use the algorithm described in Sec. 10.3 to find the shortest path through each of the following networks, where the numbers represent actual distances between the corresponding nodes. (a) (b)...

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...

Nutri-Jenny is a weight-management center. It produces a wide variety of frozen entrées for consumption by its clients. The entrées are strictly monitored for nutritional content to...

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...

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...

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...

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...

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...

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...

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 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 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...

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...

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...

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...

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...

(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.

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...

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 =...

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...

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 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...

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...

Porter Investments needs to develop an investment portfolio for Mrs. Singh from the following list of possible investments: Mrs. Singh has a total of $60,000 to invest. The following conditions must...

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,...

In item such as an increase in taxes, recall of elected officials, or an expansion of public services can be placed on the ballot if a required number of valid signatures are collected on the...

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 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...

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...

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 program to decrease littering was carried out in four cities in California's Central Valley starting in August 2011. The amount of litter in the streets (average pounds of litter collected per...

Dean's Furniture Company assembles regular and deluxe kitchen cabinets from precut lumber. The regular cabinets are painted white, and the deluxe are varnished. Both painting and varnishing are...

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...

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...

Jays Appliances sells micro-fridges according to the monthly demand distribution shown in the table at the top of the next page. Simulate 6 years of demand and compare theoretical and simulated...