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mathematics
statistics

Questions and Answers of Statistics

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
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
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)
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
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
In the last few years, colleges and universities have signed exclusivity agreements with a variety of private companies. These agreements bind the university to sell that company’s products
While the executives of Pepsi Cola are trying to decide what to do, the university informs them that a similar offer has gone out to the Coca-Cola Company. Furthermore, if both companies want
Virtually all countries have universal government-run health-care systems. The United States is one notable exception. This is an issue in every election, with some politicians pushing for the United
As the U.S. population ages, the number of people needing medical care increases. Unless a cure is found in the next decade, one of the most expensive diseases requiring such care is Alzheimer’s, a
The game of roulette consists of a wheel with 38 colored and numbered slots. The numbers are 1 to 36, 0 and 00. Half of the slots numbered 1 to 36 are red and the other half are black. The two
In random samples of 25 from each of two normal populations, we found the following statistics:x̄1 = 524s1 = 129x̄2 = 469 s2 = 141a. Estimate the difference between the two population means with
In random samples of 12 from each of two normal populations, we found the following statistics:x̄1 = 74s1 = 18x̄2 = 71 s2 = 16a. Test with α = .05 to determine whether we can infer that the
Random sampling from two normal populations produced the following results:a. Estimate with 90% confidence the difference between the two population means.b. Repeat part (a) changing the sample
Random sampling from two normal populations produced the following results:a. Can we infer at the 5% significance level that μ1 is greater than μ2?b. Repeat part (a) decreasing the standard
For each of the following, determine the number of degrees of freedom assuming equal population variances and unequal population variances.a. n1 = 15, n2 = 15, s21 = 25, s22 = 15b. n1 = 10, n2 = 16,
Every month a clothing store conducts an inventory and calculates losses from theft. The store would like to reduce these losses and is considering two methods. The first is to hire a security guard,
A menâ€™s softball league is experimenting with a yellow baseball that is easier to see during night games. One way to judge the effectiveness is to count the number of errors. In a preliminary
A number of restaurants feature a device that allows credit card users to swipe their cards at the table. It allows the user to specify a percentage or a dollar amount to leave as a tip. In an
Who spends more on their vacations, golfers or skiers? To help answer this question, a travel agency surveyed 15 customers who regularly take their spouses on either a skiing or a golfing vacation.
A growing concern among fans and owners is the amount of time to complete a major league baseball game. To assess the extent of the problem, a statistician recorded the amount of time (in minutes) to
How do drivers react to sudden large increases in the price of gasoline? To help answer the question, a statistician recorded the speeds of cars as they passed a large service station. He recorded
The president of Tastee Inc., a baby-food producer, claims that her company’s product is superior to that of her leading competitor because babies gain weight faster with her product. (This is a
Is eating oat bran an effective way to reduce cholesterol? Early studies indicated that eating oat bran daily reduces cholesterol levels by 5% to 10%. Reports of this study resulted in the
In assessing the value of radio advertisements, sponsors consider not only the total number of listeners but also their ages. The 18 to 34 age group is considered to spend the most money. To examine
The cruise ship business is rapidly increasing. Although cruises have long been associated with seniors, it now appears that younger people are choosing a cruise as their vacations. To determine
Automobile insurance companies take many factors into consideration when setting rates. These factors include age, marital status, and miles driven per year. To determine the effect of gender, a
The president of a company that manufactures automobile air conditioners is considering switching his supplier of condensers. Supplier A, the current producer of condensers for the manufacturer,
An important function of a firm’s human resources manager is to track worker turnover. As a general rule, companies prefer to retain workers. New workers frequently need to be trained, and it often
A statistics professor is about to select a statistical software package for her course. One of the most important features, according to the professor, is the ease with which students learn to use
One factor in low productivity is the amount of time wasted by workers. Wasted time includes time spent cleaning up mistakes, waiting for more material and equipment, and performing any other
Recent studies seem to indicate that using a cell phone while driving is dangerous. One reason for this is that a driver’s reaction time may slow while he or she is talking on the phone.
Refer to Exercise 13.26. To determine whether the type of phone usage affects reaction times, another study was launched. A group of drivers was asked to participate in a discussion. Half the group
Most consumers who require someone to perform various professional services undertake research before making their selection. A random sample of people who recently selected a financial planner and a
A recent study by researchers at North Carolina State University found thousands of errors in 12 of the most widely used high school science texts. For example, the Statue of Liberty is left-handed;
Between Wendy’s and McDonald’s, which fast-food drive-through window is faster? To answer the question, a random sample of service times for each restaurant was measured. Can we infer from these
Lack of sleep is a serious medical problem. It has been linked to heart attacks and automobile collisions. A Statistics Canada study asked a random sample of Canadian adults to report the amount of
It is often useful for companies to know who their customers are and how they became customers. In a study of credit card use, random samples were drawn of cardholders who applied for the credit card
Tire manufacturers are constantly researching ways to produce tires that last longer. New innovations are tested by professional drivers on racetracks. However, any promising inventions are also
It is generally believed that salespeople who are paid on a commission basis outperform salespeople who are paid a fixed salary. Some management consultants argue, however, that in certain industries
Credit scorecards were designed to be used to help financial institutions make decisions about loan applications (see page 63). However, some insurance companies have suggested that credit scores
Traditionally, wine has been sold in glass bottles with cork stoppers. The stoppers are supposed to keep air out of the bottle because oxygen is the enemy of wine, particularly red wine. Recent
Studies have shown that tired children have trouble learning because neurons become incapable of forming new synaptic connections that are necessary to encode memory.The problem is that the school
Students were invited to watch a newly released movie shortly after lunch. Half the students were given a medium-sized bucket of popcorn and the other half a large-sized bucket. The popcorn was not
Diners at a restaurant were informed on entering that they would be receiving a free glass of wine, which they were told was Cabernet Sauvignon. However, it was not. It was a cheap wine sold for $2 a
A group of MBA students was invited to watch a Super Bowl game at a local sports bar. They were promised free chicken wings and free soda drinks. The students loaded up on the wings and when they
A researcher recruited 40 adults at a PTA meeting and asked them to view a video. To thank them for their participation, 20 adults were given a one-pound bag of M&Ms and the other half
Study after study indicate that men earn higher incomes than women. To determine the extent of the differential in 2012 estimate with 95% confidence the difference between male and female annual
In recent years, women have made up an increasing proportion of university students. Is there sufficient evidence to conclude that females and males differ in their years of education (EDUC)?
Estimate with 95% confidence the difference in the amount of television (TVHOURS) watched by males and females.
Some economists have theorized that one of the reasons that men earn higher incomes than women is that men work longer hours (HRS1). Conduct a statistical test to determine whether this contention is
Estimate with 95% confidence how much more education (EDUC) American-born residents have over their foreign-born counterparts.
Is there sufficient evidence to infer that Americans born in the United States and those born elsewhere have different incomes (INCOME)?
Who works longer hours (HRS1), American-born residents or foreign-born? Conduct a test to determine whether American-born residents work longer hours.
Conduct a test to determine whether American-born residents watch more television (TVHOURS) than foreign-born residents.
Republican Party supporters tend to prefer smaller less intrusive government and lower taxes. Is this because Republicans have higher incomes? Do the data allow us to conclude that Republican
Estimate with 95% confidence the difference years of education (EDUC) between Democrats and Republicans.
Estimate with 95% confidence the difference between the number of hours of television watched (TVHOURS) by Democrats and Republicans.
Can we conclude that Republican and party supporters work longer hours than do Democratic Party supporters (HRS1)?
Estimate with 99% confidence the difference in incomes (INCOME) between conservatives and liberals.
Test to determine whether conservatives and liberals differ in the amount of education (EDUC).
Do conservatives work more hours (HRS1) than do liberals? Conduct a text to answer the question.
Estimate with 99% confidence the difference in the amount of television (TVHOURS) between conservatives and liberals.
Is there enough evidence to infer that government workers have higher incomes (INCOME) than do private-sector workers?
Test to determine whether government and private-sector workers work different numbers of hours per week (HRS1).
Can we infer that government workers and private-sector workers differ in the amount of education (EDUC)?
Do the data allow us to conclude that people who work for themselves work fewer hours (HRS1) than do people who work for someone else?
Is there enough evidence to infer that people who work for themselves earn more money (INCOME) than do other workers?
Estimate with 95% confidence the difference in the amount of education (EDUC) between workers who work for themselves and other workers.
Is there sufficient evidence to conclude that Republican Party supporters have more years of education (EDUC) than do Democratic Party supporters?
Estimate with 95% confidence the difference in the number of hours (HRS1) worked between Democratic and Republican Party supporters.
Can we infer that Republican Party supporters earn more income (INCOME) than do Democratic Party supporters?
Estimate with 95% confidence the difference in the amount of television (TVHOURS) between Democratic and Republican Party supporters.
Conduct a test to determine whether conservatives have higher incomes (INCOME) than do liberals.
Estimate with 95% confidence the difference in hours of work (HRS1) between conservatives and liberals.
Is there sufficient evidence to conclude that liberals and conservatives differ in the years of education (EDUC)?
Who watches more television (TVHOURS) conservatives or liberals? Conduct a test to determine whether liberals watch more television than conservatives.
Is there enough statistical evidence to infer that females are more educated (EDUC) than males?
Estimate with 95% confidence the difference in incomes (INCOME) between men and women.
Can we infer than men work longer hours (HRS1) than do women?
Estimate with 95% confidence the difference in the amount of television (TVHOURS) between men and women.
Is there enough evidence to infer that the incomes (INCOME) of American-born and foreign-born residents differ?
Estimate with 95% confidence the difference in the amount of education (EDUC) between American-born and foreign-born residents.
Is there sufficient evidence to conclude that American-born residents work longer hours (HRS1) than do foreign-born residents?
Estimate with 95% confidence the difference in television watching (TVHOURS) between American-born and foreign-born residents.
Can we infer that private-sector workers work longer hours (HRS1) than do government workers?
Is there sufficient statistical evidence to conclude that government workers earn higher incomes (INCOME) than do private-sector workers?
Estimate with 95% confidence the difference in years of education (EDUC) between government and private-sector workers.
Can we infer that people who work for themselves earn higher incomes (INCOME) than do workers who work for someone else?
Is there enough evidence to infer that people who work for themselves work longer hours (HRS1) than do workers who work for others?
Estimate with 95% confidence the difference in education (EDUC) between self-employed individuals and people who work for someone else.
Conduct a test at the 5%significance level to determine whether Republicans have more years of education (EDUC) than do Democrats (PARTY: 1 = Democrat, 2 = Republicans)?
Do the data from the American National Election Survey in 2008 allow us to infer at the 5%significance level that males (GENDER: 1 = Male, 2 = Female) have higher incomes than females (INCOME)?
Repeat Exercise 13.87 using the ANES data from 2004.Data from Exercise 13.87Do the data from the American National Election Survey in 2008 allow us to infer at the 5% significance level that males
Refer to Exercise 13.24.a. Are the data observational or experimental?b. If the data are observational, describe a method of answering the question with experimental data?c. If the data are
You wish to determine whether MBA graduates who majored in finance attract higher starting salaries than MBA graduates who majored in marketing.a. Describe a data-gathering process that produces
Suppose that you are analyzing one of the hundreds of statistical studies linking smoking with lung cancer. The study analyzed thousands of randomly selected people, some of whom had lung cancer. The
Many people use scanners to read documents and store them in a Word (or some other software) file. To help determine which brand of scanner to buy, a student conducts an experiment wherein eight
How effective are antilock brakes, which pump very rapidly rather than lock and thus avoid skids? As a test, a car buyer organized an experiment. He hit the brakes and, using a stopwatch, recorded
In a preliminary study to determine whether the installation of a camera designed to catch cars that go through red lights affects the number of violators, the number of red-light runners was
In an effort to determine whether a new type of fertilizer is more effective than the type currently in use, researchers took 12 two-acre plots of land scattered throughout the county. Each plot was

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