The file P02_35.xlsx contains data from a survey of 500 randomly selected households. For this problem, consider this data set a simple random sample from all possible households, where the number of...
According to the National Survey of Student Engagement, the average student spends about 17 hours each week preparing for classes; preparation for classes includes homework, reading and any other...
A regional planner is studying the demographics in a region of a particular state. She has gathered the following data on nine counties. a. Is there a linear relationship between the median income...
The manager of a minor league baseball team wants to estimate the average fastball speed of two pitchers. He clocks 50 fastballs, in miles per hour, for each pitcher. A portion of the data is shown...
What are the keys to getting commitment to action from the decision-board participants in the six-step process?
Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (F) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the...
The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation = .000959 mm. If a random...
The average length of short hospital stays for men is slightly longer than that for women, 5.2 days versus 4.5 days. A random sample of recent hospital stays for both men and women revealed the...
A fraction nonconforming control chart with n = 400 has the following parameters: UCL = 0.0962; Center line = 0.0500; LCL = 0.0038. (a) Find the width of the control limits in standard deviation...
A genetics expert has determined that for certain couples, there is a 0.25 probability that any child will have an X-linked recessive disorder. a. Find the probability that among 200 such children,...
South Central Airlines operates a commuter flight between Atlanta and Charlotte. The plane holds 30 passengers, and the airline makes a $100 profit on each passenger on the flight. When South Central...
Finnish Furniture manufactures tables in facilities located in three cities-Reno, Denver, and Pittsburgh. The tables are then shipped to three retail stores located in Phoenix, Cleveland, and...
The probability of a randomly selected car crashing during a year is 0.0423 (based on data from the Statistical Abstract of the United States). If a family has three cars, find the probability that...
About 28% of private companies are owned by women (The Cincinnati Enquirer, January 26, 2006). Answer the following questions based on a sample of 240 private companies. a. Show the sampling...
A recent study shows that unemployment does not impact males and females in the same way (Newsweek, April 20, 2009). According to a Bureau of Labor Statistics report, 8.5% of those who are eligible...
A cylindrical glass of radius and height L is filled with water and then tilted until the water remaining in the glass exactly covers its base. (a) Determine a way to slice the water into parallel...
During the busiest season of the year, Green-Gro Fertilizer produces two types of fertilizers. The standard type (X) is just fertilizer, and the other type (Y) is a special fertilizer and weed-killer...
For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component...
With a previous contractor, the mean time to replace a streetlight was 3.2 days. A city councilwoman thinks that the new contractor is not getting the streetlights replaced as quickly. She selects a...
The following table shows the frequency distribution for the mileage on a sample of Avis rental cars: a. Calculate the approximate average mileage per car for the sample. b. Calculate the approximate...
The pie chart shows a monthly utility budget. a. Suppose that $800 was budgeted for the month. Determine the exact amount for each category. b. Suppose that $117 was budgeted for water. What would be...
A company makes two types of products, A and B. These products are produced during a 40-hour work week and then shipped out at the end of the week. They require 20 and 5 kg of raw material per kg of...
Commercial real estate prices and rental rates suffered substantial declines in 2008 and 2009 (Newsweek, July 27, 2009). These declines were particularly severe in Asia; annual lease rates in Tokyo,...
Travelers pay taxes for ying, car rentals, and hotels. The following data represent the total travel tax for a 3-day business trip in eight randomly selected cities. (a) Determine a point estimate...
A trough is filled with water and its vertical ends have the shape of the parabolic region in the figure. Find the hydrostatic force on one end of the trough. 8 ft 00
Telephone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways. a. Find the probability of receiving 3 calls in a 5-minute interval. b. Find the probability of...
Professional polling organizations face the challenge of selecting a representative sample of U.S. adults by telephone. This has been complicated by people who only use cell phones and by others...
A cereal manufacturer is aware that the weight of the product in the box varies slightly from box to box. In fact, considerable historical data has allowed the determination of the density function...
The DeBourgh Manufacturing Company was founded in 1909 as a metal-fabricating company in Minnesota by the four Berg brothers. In the 1980s, the company ran into hard times, as did the rest of the...
A consulting firm had predicted that 35% of the employees at a large firm would take advantage of a new company Credit Union, but management is skeptical. They doubt the rate is that high. A survey...
The heights (in feet above sea level) of a random sample of the worlds active volcanoes are shown here. Check for normality. 13,435 9,482 12,381 7,67 3,566 5,587 8,077 9,550 8,064 2,686 5,250 6,35...
Analyze the autocorrelation coefficients for the series shown in Figures 3-18 through 3-21. Briefly describe each series. Figure 3-18 Figure 3-19 Figure 3-20 Figure 3-21 Autocorrelation Function for...
The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05 flaw per square foot of plastic panel. Assume an automobile interior...
Some studies have shown that in the United States, men spend more than women buying gifts and cards on Valentine's Day. Suppose a researcher wants to test this hypothesis by randomly sampling nine...
What is a reasonable explanation for the gap between the group of people with heights between 43 in. and 55 in., and the group of people with heights between 57 in. and 77 in.? Constructing...
An Ipsos MediaCT study indicates that mobile device owners who used their mobile device while shopping for consumer electronics spent an average of $ 1,539 on consumer electronics in the past six...
Foofy computes z-scores for a set of normally distributed exam scores. She obtains a z-score of -3.96 for 8 out of 20 of the students. What do you conclude?
The Rejuvo Corp. manufactures granite countertop cleaner and polish. Quarterly sales Q is a random variable with a mean of 25,000 bottles and a standard deviation of 2,000 bottles. Variable cost is...
On a cold morning the probability is .02 that a given car will not start in the small town of Eureka. Assume that 1,500 cars are started each cold morning. (a) What is the probability that at least...
The following regression output was obtained from a study of architectural firms. The dependent variable is the total amount of fees in millions of dollars. x1 is the number of architects employed by...
For an audience of 600 people attending a concert, the average time on the journey to the concert was 32 minutes, and the standard deviation was 10 minutes. A random sample of 150 audience members...
One of the variables most often included in surveys is income. Sometimes the question is phrased What is your income (in thousands of dollars)? In other surveys, the respondent is asked to Select the...
Speedy Wheels is a wholesale distributor of bicycles. Its Inventory Manager, Ricky Sapolo, is currently reviewing the inventory policy for one popular model that is selling at the rate of 500 per...
Reconsider Prob. 22.2-1. Christine has done more detailed planning for this project and so now has the following expanded activity list: Construct the new project network. Immediate Estimated...
Johnson Marketing is interested in producing and selling an innovative new food processor. The decision they face is the typical "make or buy" decision often faced by manufacturers. On one hand,...
Refer to the data on the girth, in centimeters, of grizzly bears in Table D.6 of the Data Bank. A computer calculation for a test of H0: μ = 100 centimeters versus H1: μ...
A firm just completed a new plant that will produce more than 500 different products, using more than 50 different production lines and machines. The production scheduling decisions are critical in...
Refer to the Buena School District bus data. a. Refer to the maintenance cost variable. The mean maintenance cost for last year is $450.29, with a standard deviation of $53.69. Estimate the number of...
A random sample of 24 observations is used to estimate the population mean. The sample mean and the sample standard deviation are calculated as 104.6 and 28.8, respectively. Assume that the...
Maine Corporation buys motors for electric fans from another company that guarantees that at most 5% of its motors are defective and that it will replace all defective motors at no cost to Maine...
A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is less than 2.1 strokes. State H0 and Ha in words and in symbols. Then determine whether the hypothesis test is...
An opinion poll surveyed 900 people and reported that 36% believe a certain governor broke campaign financing laws in his election campaign. a. Find a 95% confidence interval for the population...
a. Refer to Exercise 2 and distinguish between the value of p and the P-value. b. It was stated that we can easily remember how to interpret P-values with this: If the P is low, the null must go....
A maintenance group improves the effectiveness of its repair work by monitoring the number of maintenance requests that require a second call to complete the repair. Twenty weeks of data are shown in...
The town of Shinbone, Kansas, has a population of 211,732 and experienced 47 bank robberies, 13 murders, and 23 auto thefts during the past year. Compute a rate for each type of crime per 100,000...
The thickness of wood paneling (in inches) that a customer orders is a random variable with the following cumulative distribution function:
The response time in milliseconds was determined for three different types of circuits in an electronic calculator. The results are recorded here. (a) Using a = 0.01, test the hypothesis that the...
For a new type of tire, a NASCAR team found the average distance a set of tires would run during a race is 168 miles, with a standard deviation of 14 miles. Assume that tire mileage is independent...
A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomnia in older subjects. Before treatment with zopiclone, 16 subjects had a mean wake time of 102.8 min....
A department store will place a sale item in a special display for a one- day sale. Previous experience suggests that 20 percent of all customers who pass such a special display will purchase the...
The number of nonconforming switches in samples of size 150 is shown in Table 6E.2. Construct a fraction nonconforming control chart for these data. Does the process appear to be in control? If not,...
A small business consultant is investigating the performance of several companies. The Fourth quarter sales for last year (in thousands of dollars) for the selected companies were: Fourth-Quarter...
Based on the average predictions of 47 members of the National Association of Business Economists (NABE), the U.S. gross domestic product (GDP) will expand by 3.2% in 2011 (The Wall Street Journal,...
Listed below are the gross amounts (in millions of dollars) earned in box office receipts for the movie Harry Potter and the Half-Blood Prince. The movie opened on a Wednesday, and the amounts are...
(a) Add a headstart feature to the CUSUM in Exercise 9.1. (b) Use a combined Shewhart-CUSUM scheme on the data in Exercise 9.1. Interpret the results of both charts.
A bookstore at the Hartsfield-Jackson Airport in Atlanta sells reading materials (paperback books, newspapers, magazines) as well as snacks (peanuts, pretzels, candy, etc.). A point-of-sale terminal...
Resolve Problem 5-29 with = 0.3. Using MAD, which smoothing constant provides a better forecast?
In general, shopping online is supposed to be more convenient than going to stores. However, according to a recent Harris Interactive poll, 87% of people have experienced problems with an online...
A highly selective boarding school will only admit students who place at least 1.5 standard deviations above the mean on a standardized test that has a mean of 200 and a standard deviation of 26....
Days on the market are shown for the 36 most recent home sales in the city of Sonando Hills. (a) Calculate the mean, median, and mode. (b) Is the distribution skewed? Explain. (c) Is the mode a...
In an article in the Journal of Management, Joseph Martocchio studied and estimated the costs of employee absences. Based on a sample of 176 blue-collar workers, Martocchio estimated that the mean...
The registrar of a college with a population of N = 4,000 full-time students is asked by the president to conduct a survey to measure satisfaction with the quality of life on campus. The following...
A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Consider a sample in which 300 people are randomly selected who have...
Best Electronics Inc. offers a no hassle returns policy. The number of items returned per day follows the normal distribution. The mean number of customer returns is 10.3 per day and the standard...
The game called Lotto sponsored by the Louisiana Lottery Commission pays its largest prize when a contestant matches all 6 of the 40 possible numbers. Assume there are 40 ping-pong balls each with a...
Howies Bakery is one of the most popular bakeries in town, and the favorite at Howies is French bread. Each day of the week, Howies bakes a number of loaves of French bread, more or less according to...
Incomes Listed below are the earnings (in millions of dollars) of the celebrities with the 10 highest incomes in a recent year. The celebrities in order are Steven Spielberg, Howard Stern, George...
A categorical variable has three categories, with the following frequencies of occurrence: Category Frequency A.. 13 B.. 28 C 9 a. Compute the percentage of values in each category. b. What...
The following data represent the responses to two questions asked in a survey of 40 college students majoring in business: What is your gender? (M = male; F = female) and What is your major? (A =...
(a) Find the Taylor polynomials up to degree 6 for f(x) = cos x centered at a = 0. Graph f and these polynomials on a common screen. (b) Evaluate f and these polynomials at x = /4, /2, and . (c)...
First introduced in Los Angeles, the concept of Korean style tacos sold from a catering truck has been gaining popularity nationally (The New York Times, July 27, 2010). This taco is an interesting...
The Grocery Manufacturers of America reported that 76% of consumers read the ingredients listed on a products label. Assume the population proportion is p = .76 and a sample of 400 consumers is...
The file Utility contains the following data about the cost of electricity (in S) during July 2012 for a. Construct a frequency distribution and a percentage distribution that have class intervals...
Ridgewood Savings Bank charges a $27 per check overdraft protection fee. On July 8, Nancy had $1,400 in her account. Over the next four days, the following checks arrived for payment at her bank:...
In a survey of 1046 adults conducted by Bradley Corporation, subjects were asked how often they wash their hands when using a public restroom, and 70% of the respondents said "always." a. Identify...
Consider the minute clinic waiting time data in Exercise 6.66. These data may not be normally distributed. Set up a EWMA control chart using ï¬ï = 0.1 for monitoring this process. Does...
Refer to Exercise 4.70. An honor society wishes to invite those scoring in the top 5% on the College Boards to join their society. In exercise The College Boards, which are administered each year to...
A large corporation has spent considerable time developing employee performance rating scales to evaluate an employees job performance on a regular basis so major adjustments can be made when needed...
An oil company produces three brands of oils: Regular, Multi grade, and Supreme. Each brand of oil is composed of one or more of four crude stocks, each having a different viscosity index. The...
Creative Sports Design (CSD) manufactures a standard-size racket and an oversize racket. The firms rackets are extremely light due to the use of a magnesium-graphite alloy that was invented by the...
WTVX, Channel 6, is located in Eugene, Oregon, home of the University of Oregon's football team. The station was owned and operated by George Wilcox, a former Duck (University of Oregon football...
The average teachers salary in North Dakota is $37,764. Assume a normal distribution with = $5100. a. What is the probability that a randomly selected teachers salary is greater than $45,000? b. For...
The file lists the calories and sugar, in grams, in one serving of seven breakfast cereals: a. Compute the covariance. b. Compute the coefficient of correlation. c. Which do you think is more...
A group of wine enthusiasts taste-tested a pinot noir wine from Oregon. The evaluation was to grade the wine on a 0 to 100 point scale. The results follow: (a) Construct a stem-and-leaf diagram for...
A simple random sample of 25 observations is derived from a normally distributed population with a known standard deviation of 8.2. a. Is the condition that is normally distributed satisfied?...
Assume that student volunteers were assigned arbitrarily (according to a coin toss) either to be trained to meditate or to behave as usual. To deter-mine whether meditation training (the independent...
An American Automobile Association (AAA) study investigated the question of whether a man or a woman was more likely to stop and ask for directions (AAA, January 2006). The situation referred to in...
In a study to isolate both gauge repeatability and gauge reproducibility, two operators use the same gauge to measure ten parts three times each. The data are shown in Table 8E.10. (a) Estimate gauge...
Kurts Hardware Store advertises and sells snow blowers each season. The following table provides the annual demand, level of advertising, in dollars, and snowfall, in inches, for the past eight...
A group of college students is planning a camping trip during the upcoming break. The group must hike several miles through the woods to get to the campsite, and anything that is needed on this trip...