Question: A random sample of complaints about American

> A random variable is uniformly distributed between 100 and 150. a. Draw the density function. b. Find P(X > 110). c. Find P(120 < X < 135). d. Find P(X < 122).

> The number of pages produced by a fax machine in a busy office is normally distributed with a mean of 275 and a standard deviation of 75. Determine the probability that in 1 week (5 days) more than 1,500 faxes will be received?

> The restaurant in a large commercial building provides coffee for the occupants in the building. The restaurateur has determined that the mean number of cups of coffee consumed in a day by all the occupants is 2.0 with a standard deviation of .6. A new t

> Refer to Exercise 9.36. Does your answer change if you discover that the times needed to mark a midterm test are not normally distributed? Data from Exercise 9.36: The time it takes for a statistics professor to mark his midterm test is normally distrib

> The time it takes for a statistics professor to mark his midterm test is normally distributed with a mean of 4.8 minutes and a standard deviation of 1.3 minutes. There are 60 students in the professor’s class. What is the probability that he needs more t

> Refer to Exercise 9.34. Suppose that the professor discovers that the weights of people who use the elevator are normally distributed with an average of 75 kilograms and a standard deviation of 10 kilograms. Calculate the probability that the professor s

> The sign on the elevator in an office tower states, “Maximum Capacity 1,140 kilograms (2,500 pounds) or 16 Persons.” A professor of statistics wonders what the probability is that 16 persons would weigh more than 1,140 kilograms. Discuss what the profess

> The number of customers who enter a supermarket each hour is normally distributed with a mean of 600 and a standard deviation of 200. The supermarket is open 16 hours per day. What is the probability that the total number of customers who enter the super

> The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that the net weight is actually a normal random variable with a mean of 6.05 ounces and a standard deviation of .18 ounces. Suppose that you draw a random sam

> The amount of time spent by North American adults watching television per day is normally distributed with a mean of 6 hours and a standard deviation of 1.5 hours. a. What is the probability that a randomly selected North American adult watches televisio

> The marks on a statistics midterm test are normally distributed with a mean of 78 and a standard deviation of 6. a. What proportion of the class has a midterm mark of less than 75? b. What is the probability that a class of 50 has an average midterm mark

> Refer to Example 3.3. From the histogram of the marks, estimate the following probabilities. a. P(55 b. P(X &gt; 65) c. P(X d. P(75 Data from Example 3.3: 30 25 20 15 10 Б 50 60 70 80 90 100 Marks LO Asuenbey

> The number of pizzas consumed per month by university students is normally distributed with a mean of 10 and a standard deviation of 3. a. What proportion of students consume more than 12 pizzas per month? b. What is the probability that in a random samp

> The amount of time the university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours. a. What is the probability that a professor works for more than 60 hours per week? b. Find the

> Refer to Exercise 9.26. Does your answer change if you discover that mortgages are not normally distributed? Data from Exercise 9.26: Statisticians determined that the mortgages of homeowners in a city is normally distributed with a mean of $250,000 and

> Statisticians determined that the mortgages of homeowners in a city is normally distributed with a mean of $250,000 and a standard deviation of $50,000. A random sample of 100 homeowners was drawn. What is the probability that the mean is greater than $2

> An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with mean = 117 cm and standard deviation = 5.2 cm. a. Find the probability that one selected subcomponent is longe

> Refer to Exercise 9.23. If the population of women’s heights is not normally distributed, which, if any, of the questions can you answer? Explain. Data from Exercise 9.23: The heights of North American women are normally distributed with a mean of 64 in

> The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches. a. What is the probability that a randomly selected woman is taller than 66 inches? b. A random sample of four women is selected.

> a. Suppose that the standard deviation of a population with N = 10,000 members is 500. Determine the standard error of the sampling distribution of the mean when the sample size is 1,000. b. Repeat part (a) when n = 500. c. Repeat part (a) when n = 100.

> a. Calculate the finite population correction factor when the population size is N = 1,000 and the sample size is n = 100. b. Repeat part (a) when N = 3,000. c. Repeat part (a) when N = 5,000. d. What have you learned about the finite population correcti

> Repeat Exercise 9.18 for a standard deviation of 20. Data from Exercise 9.18: Given a normal population whose mean is 50 and whose standard deviation is 5, find the probability that a random sample of a. 4 has a mean between 49 and 52. b. 16 has a mean

> Refer to Example 3.2. Estimate the following from the histogram of the returns on investment B. a. P(X &gt; 45) b. P(10 c. P(X d. P(35 Data from Example 3.2: Histogram of Returns on Investment B 18 16 14 12 10 -30 -15 0 15 30 45 60 75 Returns Aauen

> Repeat Exercise 9.18 for a standard deviation of 10. Data from Exercise 9.18: Given a normal population whose mean is 50 and whose standard deviation is 5, find the probability that a random sample of a. 4 has a mean between 49 and 52. b. 16 has a mean

> Given a normal population whose mean is 50 and whose standard deviation is 5, find the probability that a random sample of a. 4 has a mean between 49 and 52. b. 16 has a mean between 49 and 52. c. 25 has a mean between 49 and 52.

> Repeat Exercise 9.15 with n = 100. Data from Exercise 9.15: A sample of n = 16 observations is drawn from a normal population with μ = 1,000 and σ = 200. Find the following. a. P(X > 1,050) b. P(X < 960) c. P(X > 1,100)

> Unfortunately, robbery is an all-too frequent crime. Bank robberies tend to be the most lucrative for criminals. In most cases banks do not report the size of the loss. However, several researchers were able to gain access to bank robberies in England. H

> Several decades ago a large proportion of Americans smoked cigarettes. However, in recent years many adults have quit. To measure the extent of current smoking a random sample of American adults was asked to report whether they smoked (1 = yes, 2 = no).

> Wages and salaries make up only part of a total compensation. Other parts include paid leave, health insurance, and many others. In 2013, wages and salaries among manufacturers in the United States made up an average of 65.8% of total compensation. To de

> In 2015, there were 124,587,000 (Source: United States Census) households in the United States. There were 81,716,000 family households made up of married couples, single male, and single female households. To determine how many of each type a survey was

> Refer to Exercise 12.165. In 2006 the financial obligations ratio for renters was 23.65. Can we infer that financial obligations ratio for renters has increased between 2016 and this year? Data from Exercise 12.165: Another measure of indebtedness is th

> Refer to Exercise 12.164. Another measure of indebtedness is the financial obligations ratio, which adds automobile lease payments, rental on tenant occupied property, homeowner’s insurance, and property tax payments to the debt service ratio. In 2016, t

> In 2016, the average household debt service ratio for homeowners was 10.02. The household debt service ratio is the ratio of debt payments to disposable personal income. Debt payments consist of mortgage payments and payments on consumer debts. To determ

> Unfortunately, it is not uncommon for high school students in the United States to carry weapons (guns, knives, or clubs). To determine how prevalent this practice is, a survey of high school students was undertaken. Students were asked whether they carr

> Jim Cramer hosts CNBC’s “Mad Money” program. Mr. Cramer regularly makes suggestions about which stocks to buy and sell. How well has Mr. Cramer’s picks performed over the past two years (2005 to 2007)? To answer the question a random sample of Mr. Cramer

> The owner of a downtown parking lot suspects that the person he hired to run the lot is stealing some money. The receipts as provided by the employee indicate that the average number of cars parked in the lot is 125 per day and that, on average, each car

> Exercise 12.159, suppose that the promoter decided to draw a sample of size 600 (because of financial considerations). Each teenager was asked whether he or she would attend the concert (2 = Yes, I will attend; 1 = No, I will not attend). Estimate with 9

> A rock promoter is in the process of deciding whether to book a new band for a rock concert. He knows that this band appeals almost exclusively to teenagers. According to the latest census, there are 400,000 teenagers in the area. The promoter decides to

> An oil company sends out monthly statements to its customers who purchased gasoline and other items using the company’s credit card. Until now, the company has not included a preaddressed envelope for returning payments. The average and the standard devi

> An advertisement for a major home appliance manufacturer claims that its repair personnel are the loneliest in the world because its appliances require the smallest number of service calls. To examine this claim, a researcher drew a random sample of 100

> Refer to Exercise 12.155. Suppose the engineers recoded the data so that springs that were the correct length were recorded as 1, springs that were too long were recorded as 2, and springs that were too short were recorded as 3. Can we infer at the 10% s

> Engineers who are in charge of the production of springs used to make car seats are concerned about the variability in the length of the springs. The springs are designed to be 500 mm long. When the springs are too long, they will loosen and fall out. Wh

> Obesity is defined as having a Body Mass Index (BMI = 30 grams/kilogram2) over 30. A statistics practitioner took a random sample of American adults and classified their BMI as either 1. Under 20, 2. 20–30, 3. Over 30. There are 234,564,000 American adul

> The manager of a branch of a major bank wants to improve service. She is thinking about giving $1 to any customer who waits in line for a period of time that is considered excessive. (The bank ultimately decided that more than 8 minutes is excessive.) Ho

> A national health care system was an issue in recent presidential election campaign and is likely to be a subject of debate for many years. The issue arose because of the large number of Americans who have no health insurance. Under the present system, f

> The routes of postal deliverers are carefully planned so that each deliverer works between 7 and 7.5 hours per shift. The planned routes assume an average walking speed of 2 miles per hour and no shortcuts across lawns. In an experiment to examine the am

> Refer to Exercise 12.148. Also recorded was the amount of time to commute to work on an average day. Estimate with 90% confidence the average commute time. Data from Exercise 12.148: There are 138,592,000 workers in the United States. An economist took

> Refer to Exercise 12.148. Estimate with 95% confidence the number of workers who carpooled to work. Data from Exercise 12.148: There are 138,592,000 workers in the United States. An economist took a random sample of 550 workers and recorded how they com

> There are 138,592,000 workers in the United States. An economist took a random sample of 550 workers and recorded how they commuted to work (1 = drive alone, 2 = car pool, 3 = public transportation, 4 = walked, 5 = other, and 6 = worked at home). Is ther

> In a large state university (with numerous campuses), the marks in an introductory statistics course are normally distributed with a mean of 68%. To determine the effect of requiring students to pass a calculus test (which at present is not a prerequisit

> Opinion Research International surveyed people whose household incomes exceed $50,000 and asked each for their top money-related new year’s resolutions. The responses are: 1. Get out of credit card debt 2. Retire before age 65 3. Die broke 4. Make do wit

> Refer to Exercise 12.143. A sample of 425 pickup trucks and SUVs was drawn and the age of the vehicles was recorded. Estimate with 95% confidence the mean age of trucks and SUVs. Data from Exercise 12.143: An important factor in attempting to predict the

> An important factor in attempting to predict the demand for new cars is the age of the cars already on the road. A random sample of 650 cars was drawn and the age of each car was recorded. Estimate with 99% confidence the age means age of all-American ca

> Refer to Exercise 12.151. Also recorded was the weapon used (1 = firearm, 2 = knife or other cutting instrument, 3 = other, 4 = no weapon). Estimate with 90% confidence the number of crimes where a firearm was not used. Data from Exercise 12.151: The ro

> According to FBI statistics, there were 354,520 robberies in the United States in 2012 (latest statistics available). A random sample of robberies was drawn and the amount of loss was recorded. Estimate with 95% confidence the total loss of all the robbe

> Robots are being used with increasing frequency on production lines to perform monotonous tasks. To determine whether a robot welder should replace human welders in producing automobiles, an experiment was performed. The time for the robot to complete a

> There are 604,474 bridges in the United States. A structural engineering team randomly SAMPLED 850 bridges and categorized each as either structurally deficient (restricted to light vehicles, require immediate rehabilitation to remain open, or are closed

> One of the issues that came up in a recent municipal election was the high cost of housing. A candidate seeking to unseat an incumbent claimed that the average family spends more than 30% of its annual income on housing. A housing expert was asked to inv

> Hazardous materials are constantly being around the country. To help determine how dangerous these events are a statistics practitioner recorded the distances of a random sample of trucks, trains, airplanes, and boats carrying explosives. Estimate with 9

> The National Hockey League’s Florida Panthers play in the BB&T center. The cost of parking is $20. However, Lexus occasionally pays the cost by offering free parking to drivers of Lexus cars. A statistician wanted to estimate the cost of this program. He

> Suppose the survey in the previous exercise also asked those who were not in the top 1% whether they believed that within 5 years they would be in the top 1% (1 = will not be in top 1% within 5 years and 2 = will be in top 1% within 5 years). Estimate wi

> An advertising company was awarded the contract to design advertising for Rolls Royce automobiles. An executive in the firm decided to pitch the product not only to the affluent in the United States but also to those who think they are in the top 1% of i

> Xis normally distributed with mean 100 and standard deviation 20. What is the probability that X is greater than 145?

> The JC Penney department store chain segments the market for women’s apparel by its identification of values. The three segments are: 1. Conservative 2. Traditional 3. Contemporary Questionnaires about personal and family values are used to identify whic

> A California university is investigating expanding its evening programs. It wants to target people between 25 and 55 years old who have completed high school but did not complete college or university. To help determine the extent and type of offerings,

> A new credit card company is investigating various market segments to determine whether it is profitable to direct its advertising specifically at each one. One of the market segments is composed of Hispanic people. According to the United States census,

> Find the probability. P(Z > 4.0)

> Find the probability. P(Z > 0)

> Find the probability. P(Z > 3.09)

> P(−0.71 < Z < −0.33)

> Find the probability. P(1.04 < Z < 2.03)

> Find the probability. P(Z < 2.57)

> Find the probability. P(Z > 1.87)

> Find the probability. P(Z < 2.23)

> Find the probability. P(Z > −1.24)

> Find the probabilities. P(−1.30 < Z < .70)

> Find the probability. P(Z < −2.16)

> Find the probabilities. P(Z < −1.80)

> Find the probabilities. P(Z < −1.39)

> Chlorofluorocarbons (CFCs) are used in air conditioners. However, CFCs damage the ozone layer, which protects us from the sun’s harmful rays. As a result, many jurisdictions have banned the production and use of CFCs. The latest jurisdiction to do so is

> According to the American Contract Bridge League (ACBL) bridge hands that contain two 4-card suits, one 3-card suit and one 2-card suit (4-4-3-2) occur with 21.55% probability. Suppose that a bridge-playing statistics professor with too much time on his

> Find the probability. P(Z < 1.60)

> Refer to Exercise 12.112. Do the data allow us to conclude that more than 90% of all business students would rate it as at least adequate? Data from Exercise 12.112: A professor of business statistics recently adopted a new textbook. At the completion o

> A professor of business statistics recently adopted a new textbook. At the completion of the course, 100 randomly selected students were asked to assess the book. The responses are as follows: Excellent (1), Good (2), Adequate (3), Poor (4) The results

> Because television audiences of newscasts tend to be older (and because older people suffer from a variety of medical ailments) pharmaceutical companies’ advertising often appears on national news in the three networks (ABC, CBS, and NBC). The ads concer

> An important decision faces Christmas holiday celebrator: buy a real or artificial tree? A sample of 1,508 male and female respondents 18 years of age and over was interviewed. Respondents were asked whether they preferred a real (1) or artificial (2) tr

> An increasing number of people are giving gift certificates as Christmas presents. To measure the extent of this practice, a random sample of people was asked (survey conducted December 26–29) whether they had received a gift certificate for Christmas. T

> The results of an annual Claimant Satisfaction Survey of policyholders who have had a claim with State Farm Insurance Company revealed a 90% satisfaction rate for claim service. To check the accuracy of this claim, a random sample of State Farm claimants

> Use a computer to find the following values of F. a. F.05, 70, 70 b. F.01, 45, 100 c. F.025, 36, 50 d. F.05, 500, 500

> According to the Internal Revenue Service (IRS) in 2009 the top 5% of American income earners earned more than $153,542 and the top 1% earned more than $388,806. The top 1% pay slightly more than 40% of all federal income taxes. To determine whether Amer

> Refer to Exercise 12.105. If the number of professors between the ages of 55 and 64 is 75,000, estimate the total number of such professors who plan to retire early. Data from Exercise 12.105: There is a looming crisis in universities and colleges acros

> There is a looming crisis in universities and colleges across North America. In most places’ enrollments are increasing requiring more instructors. However, there are not enough PhDs to fill the vacancies now. Moreover, among current professors, a large

> Refer to Exercise 12.103. Those who hate or dislike doing their taxes were asked the reason. The responses are: 1 = Pay too much taxes, 2 = Complicated/too much paperwork, 3 = Inconvenient/ time consuming, 4 = Don’t like how government uses tax money, 5

> A national survey conducted by Pew Research asked a random sample of 974 American adults how they felt about doing their taxes. The responses are: 1 = Love it, 2 = Like it, 3 = Neither like nor dislike it, 4 = Dislike it, 5 = Hate it. There are 234,564,0

> A management professor was in the process of investigating the relationship between education and managerial level achieved. The source of his data was a survey of 385 CEOs of medium and large companies. He discovered that there was only one CEO who did

> Spam is of concern to anyone with an e-mail address. Several companies offer protection by eliminating spam e-mails as soon as they hit an inbox. To examine one such product, a manager randomly sampled his daily e-mails for 50 days after installing spam

> In Chapter 6, we discussed how an understanding of probability allows one to properly interpret the results of medical screening tests. The use of Bayes’s Law requires a set of prior probabilities, which are based on historical records. Suppose that a ph

> Refer to Exercise 12.98. Assuming that there are 1 million travelers per year and the fare is $3.00 estimate with 95% confidence the amount of revenue lost each year. Data from Exercise 12.98: The GO transportation system of buses and commuter trains op

> The GO transportation system of buses and commuter trains operates on the honor system. Train travelers are expected to buy their tickets before boarding the train. Only a small number of people will be checked on the train to see whether they bought a t

> What type of educational background do CEOs have? In one survey, 344 CEOs of medium and large companies were asked whether they had an MBA degree. There were 97 MBAs. Estimate with 95% confidence the proportion of all CEOs of medium and large companies w