A particularly long traffic light on your morning commute is green 20% of the time that you approach it. Assume that each morning represents an independent trial. (a) Over five mornings, what is the...

Integration by parts is required. The probability density function for the diameter of a drilled hole in millimeters is for mm. Although the target diameter is 5 millimeters, vibrations, tool wear,...

If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that (a) Exactly 2 of them will be face cards? (b) At least 1 of them will be a queen?

An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities. P(high-quality oil) = 0.50 P(medium-quality oil) = 0.20 P(no oil) = 0.30...

If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricellis Law gives the volume V of water remaining in the tank after minutes as Find the rate at...

(a) Find parametric equations for the ellipse x2/a2 + y2/b2 = 1. (b) Use these parametric equations to graph the ellipse when a = 3 and b = 1, 2, 4, and 8. (c) How does the shape of the ellipse...

A simple random sample with n = 54 provided a sample mean of 22.5 and a sample standard deviation of 4.4. a. Develop a 90% confidence interval for the population mean. b. Develop a 95% confidence...

South Shore Construction builds permanent docks and seawalls along the southern shore of Long Island, New York. Although the firm has been in business only five years, revenue has increased from...

Briefly discuss what is meant by critical path analysis. What are critical path activities, and why are they important?

A regression model relating x, number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars), provided the following computer output from a regression analysis...

According to an Associated Press/Petside.com poll, half of all pet owners would get their next dog or cat from a shelter (USA Today, May 12, 2010). Consider a random sample of 10 pet owners and...

A friend of yours can invest in a multiyear project. The cost is $14,000.Annual cash flows are estimated to be $5,000 per year for six years but could vary between $2,500 and $7,000. Your friend...

The Tennessean, an online newspaper located in Nashville, Tennessee, conducts a daily poll to obtain reader opinions on a variety of current issues. In a recent poll, 762 readers responded to the...

An article in the Journal of Agricultural Engineering Research (Vol. 52, 1992, pp. 5376) describes an experiment to investigate the effect of drying temperature of wheat grain on the baking quality...

The line y = mx + b intersects the parabola y = x2 in points A and B (see the figure). Find the point P on the arc AOB of the parabola that maximizes the area of the triangle PAB.

The director of special events for Sun City believed that the amount of money spent on fireworks displays on the 4th of July was predictive of attendance at the Fall Festival held in October. She...

The following ogive summarizes the median household income for the 50 states in the United States (U.S. Census, 2010). a. Approximate the percentage of states with median household income less than...

Given the information in Exercise 11.75, and using the 0.05 level of significance in comparing the sample standard deviations, were we justified in assuming that the population standard deviations...

Cindy Jefferson, hospital administrator at Anderson Hospital must appoint head nurses to four newly established departments: urology, cardiology, orthopedics, and pediatrics. Believing in the...

The Salk polio vaccine experiment in 1954 focused on the effectiveness of the vaccine in combating paralytic polio. Because it was felt that without a control group of children there would be no...

A milk company has four machines that fill gallon jugs with milk. The quality control manager is interested in determining whether the average fill for these machines is the same. The following data...

Based on information from the U.S. Census Bureau, the mean travel time to work in minutes for all workers 16 years old and older was 25.3 minutes. A large company with offices in several states...

The table gives estimates of the world population, in millions, from 1750 to 2000: (a) Use the exponential model and the population figures for 1750 and 1800 to predict the world population in 1900...

A number of matrices are defined as Answer the following questions regarding these matrices;(a) What are the dimensions of the matrices?(b) Identify the square, column, and row matrices.(c) What are...

Chad Perrone is a financial analyst in Boston studying the annual return data for the health and information technology industries. He randomly samples 20 firms in each industry and notes each firms...

The following data represent the number of speeding tickets issued to individuals in the past year and the gender of the individuals. Determine the following probabilities based on the results of the...

According to a report by The Kauffman Foundation and Legal Zoom, 35% of new businesses in 2013 were started by women and 65% of new businesses in 2013 were started by men. Twenty percent of 2013 new...

A random sample of 250 juniors majoring in psychology or communication at a large university is selected. These students are asked whether or not they are happy with their majors. The following table...

A veterinary nutritionist developed a diet for overweight dogs. The total volume of food consumed remains the same, but one half of the dog food is replaced with a low-calorie filler such as canned...

When you purchase a car, you may consider buying a brand-new car or a used one. A fundamental trade-off in this case is whether you pay repair bills (uncertain at the time you buy the car) or make...

The Porsche Club of America sponsors driver education events that provide high-performance driving instruction on actual race tracks. Because safety is a primary consideration at such events, many...

A customer service center in India receives, on average, 4.2 telephone calls per minute. If the distribution of calls is Poisson, what is the probability of receiving at least 3 calls during a...

Apply the Western Electric rules to the control chart in Exercise 5.17. Are any of the criteria for declaring the process out of control satisfied?

Three industrial sites are considered for locating manufacturing plants. The plants send their supplies to three customers. The supply at the plants, the demand at the customers, and the unit...

A manufacturer of novelty items is undecided about the price to charge for a new product. The marketing manager knows that it should sell for about $10 but is unsure of whether sales will vary...

Match the coefï¬cient of determination to the scatter diagram. The scales on the horizontal and vertical axis are the same for each scatter diagram. (a) R2 = 0.58 (b) R2 = 0.90 (c) R2 = 1...

As the new manager of a small convenience store, you want to understand the shopping patterns of your customers. You randomly sample 20 purchases from yesterdays records (all purchases in U.S....

Consider the following four data sets. a. Compute the mean of each data set. b. Although the four data sets have the same means, in what respect are they quite different? c. Which data set appears to...

The weight of a miniature Tootsie Roll is normally distributed with a mean of 3.30 grams and standard deviation of 0.13 gram. (a) Within what weight range will the middle 95 percent of all miniature...

A point D is chosen on the line AB, whose midpoint is C and whose length is . If X, the distance from D to A, is a random variable having the uniform density with = 0 and = , what is the...

An electronic product contains 40 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the integrated circuits are independent. The product operates only if...

Jason leaves Detroit at 2:00 P.M. and drives at a constant speed west along I-96. He passes Ann Arbor, 40 mi from Detroit, at 2:50 P.M. (a) Express the distance traveled in terms of the time elapsed....

A car manufacturer is trying to develop a new sports car. Engineers are hoping that the average amount of time that the car takes to go from 0 to 60 miles per hour is below 6 seconds. The car company...

In exercise 7, the data on y = annual sales ($1,000s) for new customer accounts and x = number of years of experience for a sample of 10 salespersons provided the estimated regression equation y = 80...

Consider the product mix problem described in Prob. 3.1-11. Suppose that this manufacturing firm actually encounters price elasticity in selling the three products, so that the profits would be...

ChemLabs uses raw materials I and II to produce two domestic cleaning solutions, A and B. The daily availabilities of raw materials I and II are 150 and 145 units, respectively. One unit of solution...

A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 55 nonprofits, the mean one- time gift do-nation in the past year was $...

A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last...

Let f(x) = 1/2, 0 < x < 1 or 2 < x < 3, zero elsewhere, be the pdf of X. (a) Define the cdf of X and sketch its graph. (b) Find q1 = 0.25. (c) Find m = 0.50. Is it unique? (d) Find q3 = 0.75.

An overseas shipment of 5 foreign automobiles contains 2 that have slight paint blemishes. If an agency receives 3 of these automobiles at random, list the elements of the sample space S using the...

The following frequency histogram represents the IQ scores of a random sample of seventh-grade students. IQs are measured to the nearest whole number. The frequency of each class is labeled above...

Figure 2.5 gives a percentage pie chart of new vehicle market shares in the U. S. for 2010 as given by GoodCarBadCar.net. Use this pie chart and your results from Exercise 2.9 to write an analysis...

An insurance company holds fraud insurance policies on 6,000 firms. In any given year the probability that any single policy will result in a claim is 0.001. Find the probability that at least 3...

In an attempt to decrease drunk driving, police set up vehicle checkpoints during the July 4 evening. The police randomly select vehicles to be stopped for informational checks. On a particular...

The American Association of Individual Investors (AAII) On-Line Discount Broker Survey polls members on their experiences with electronic trades handled by discount brokers. As part of the survey,...

The histogram in Figure 3.12 depicts cotinine levels (in milligrams per milliliter) of a sample of subjects who smoke cigarettes. Cotinine is a metabolite of nicotine, which means that cotinine is...

The Appliance Center has six sales representatives at its North Jacksonville outlet. Listed below is the number of refrigerators sold by each last month. a. How many samples of size 2 are possible?...

A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and a standard deviation of 8. A second random sample of size n2 = 9 is taken from another normal population...

The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from...

As part of a study of corporate employees, the director of human resources for PNC Inc. wants to compare the distance traveled to work by employees at its office in downtown Cincinnati with the...

The American Red Cross must track their supply and demand for various blood types. They estimate that about 45% of the U.S. population has Type O blood, 40% Type A, 11 % Type B, and the rest Type AB-...

A cargo plane has three compartments for storing cargo: front, center, and back. These compartments have capacity limits on both weight and space, as summarized below: Furthermore, the weight of the...

The probability that a lab specimen contains high levels of contamination is 0.10. Five samples are checked, and the samples are independent. (a) What is the probability that none contains high...

A multiple regression model was used to relate y = viscosity of a chemical product to x1 = temperature and x2 = reaction time. The data set consisted of n = 15 observations. (a) The estimated...

Use a worksheet to simulate the rolling of dice. Use the VLOOKUP function as described in Appendix 16.1 to select the outcome for each die. Place the number for the first die in column B and the...

The Institute for Higher Education Policy, a Washington, D.C.-based research firm, studied the payback of student loans for 1.8 million college students who had student loans that began to become due...

The Mars candy company claims 13% of its M&M candies are brown, but Data Set 20 in Appendix B lists data from 100 M&Ms, and 8% of them are brown. Use the sample data to construct a 98% confidence...

Shaq Bryant sells newspapers on Sunday mornings in an area surrounded by three busy churches. Assume that Shaqs demand can either be for 100, 300, or 500 newspapers, depending on traffic and weather....

In April 2009, Gallup published results from data collected from a large sample of adults in the 27 European Union member states. One of the questions asked was, "Which is the most practicable and...

The Coca-Cola Company is the number-one seller of soft drinks in the world. Every day an average of more than 1.6 billion servings of Coca-Cola, Diet Coke, Sprite, Fanta and other products of...

Some investors use the Sharpe ratio as a way of comparing the benefits of owning shares of stock in a company to the risks. The Sharpe ratio of a stock is defined as the ratio of the difference...

A paired difference experiment produced the following results: nd = 38 1 = 92 2 = 95.5 = -3.5 s2d = 21 a. Determine the values of z for which the null hypothesis, 1 - 2 < 0, would be rejected in...

(a) Show that the sample variance is unchanged if a constant c is added to or subtracted from each value in the sample. (b) Show that the sample variance becomes c2 times its original value if each...

The file P09_01.xlsx contains a random sample of 100 light bulb lifetimes. The company that produces these light bulbs wants to know whether it can claim that its light bulbs typically last more than...

Consider another oil-wildcatting problem. You have mineral rights on apiece of land that you believe may have oil underground. There is only a10% chance that you will strike oil if you drill, but the...

The availability of venture capital provided a big boost in funds available to companies in recent years. According to Venture Economics (Investors Business Daily, April 28, 2000), 2374 venture...

The Southeastern Division of LaPlace Power and Light Company is responsible for providing dependable electric service to customers in and around the areas of Metairie, Kenner, Destreban, LaPlace,...

Rates on 30-year fixed mortgages continue to be at historiclows (Chron Business News, September 23, 2010). According to Freddie Mac, the average rate for 30-year fixed loans for the week was 4.37%....

Based on past sales experience, an appliance store stocks five window air conditioner units for the coming week. No orders for additional air conditioners will be made until next week. The weekly...

You are planning a trip to a water park tomorrow. The weather forecaster says there is a 70% chance of rain tomorrow. Explain what this result means.

The fraction nonconforming control chart in Exercise 7.3 has an LCL of zero. Assume that the revised control chart in part (b) of that exercise has a reliable estimate of the process fraction...

A woman at a point A on the shore of a circular lake with radius 2 mi wants to arrive at the point C diametrically opposite on the other side of the lake in the shortest possible A time. She can walk...

Apple products have become a household name in America with 51% of all households owning at least one Apple product (CNN, March 19, 2012). a. What is the probability that two in a random sample of...

Residents of neighboring towns in a state in the United States have an ongoing disagreement over who lays claim to the higher average price of a single-family home. Since you live in one of these...

In the hospital study cited in Exercise 19, the mean noise level in the 171 ward areas was 58.0 decibels, and the population standard deviation is 4.8. Find the 90% confidence interval of the true...

An important unit consists of two components placed in parallel. The unit performs satisfactorily if one of the two components is operating. Therefore, only one component is operated at a time, but...

An article in Solid State Technology (May 1987) describes an experiment to determine the effect of C2F6 flow rate on etch uniformity on a silicon wafer used in integrated-circuit manufacturing. Three...

Suppose that three girls A, B, and C throw snowballs at a target. Suppose also that girl A throws 10 times, and the probability that she will hit the target on any given throw is 0.3; girl B throws...

1. Summarize the results of John's analysis in one paragraph that a manager, not a forecaster, can understand. 2. Describe the trend and seasonal effects that appear to be present in the sales data...

The following table shows the number of active military personnel in 2009, by region (including the District of Columbia). a. Calculate the mean and standard deviation for the population. b. Now take...

Below we give the average hourly outdoor temperature (x) in a city during a week and the city's natural gas consumption (y) during the week for each of eight weeks (the temperature readings are...

Assume that a third grocery store, Quick Stop Groceries, enters the market share and customer loyalty situation described in Section 17.1. Quick Stop Groceries is smaller than either Murphys...

A recent issue of the AARP Bulletin reported that the average weekly pay for a woman with a high school degree is $520 (AARP Bulletin, JanuaryFebruary, 2010). Suppose you would like to determine if...

Three areas of southern California are prime candidates for forest fires each dry season. You believe (based on historical evidence) that each of these areas, independently of the others, has a 30%...

Identify the basic elements of a real-estate investors decision situation. What are the investors objectives? Is the situation dynamic, that is, are there sequential decisions? What are some of the...

It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed. The demand for number 6 screws is fairly constant, and on the average, Lila has...

A marketing firm opens a small booth at a local mall over the weekend, where shoppers are asked how much money they spent at the food court. The objective is to determine the average monthly...

The weights (lb) of discarded plastic from a sample of households is listed in Data Set 23 in Appendix B, and the summary statistics are n = 62, f = 1.911 lb, and s = 1.065 lb. Use a 0.05...

Construct measures of political participation at the nominal, ordinal, and interval-ratio levels. Discuss the advantages and disadvantages of each.

A retail outlet sells a seasonal product for $10 per unit. The cost of the product is $8 per unit. All units not sold during the regular season are sold for half the retail price in an end-of-season...