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mathematics
introduction to business statistics

Questions and Answers of Introduction to business statistics

Use event relationships to fill in the blanks in the table below. PLA U B)| P(A|B) Conditions for Events A and PIAN B) P(B) PLA) 3 .12 .3 .7 Mutually exclusive .5 .1 Independent .5 2.
Use event relationships to fill in the blanks in the table below. Conditions for Events A and B P(AN B) P(AU B) P(A) .3 P(B) 4 4 4 P(AB) Mutually exclusive Independent .3 .1 .2 .5 .1 .5
The two stars of the Miami Heat professional basketball team are very different when it comes to making free throws. ESPN.com reports that Jason Williams makes about 80% of his free throws, while
Who is the king of late night TV? An Internet survey estimates that, when given a choice between David Letterman and Jay Leno, 52% of the population prefers to watch Jay Leno. Suppose that you
Two tennis professionals, A and B, are scheduled to play a match; the winner is the first player to win three sets in a total that cannot exceed five sets. The event that A wins any one set is
“Whistle blowers” is the name given to employees who report corporate fraud, theft, or other unethical and perhaps criminal activities by fellow employees or by their employer. Although there is
A fire-detection device uses three temperature-sensitive cells acting independently of one another in such a manner that any one or more can activate the alarm. Each cell has a probability p = .8 of
Is your chance of getting a cold influenced by the number of social contacts you have? A study by Sheldon Cohen, a psychology professor at Carnegie Mellon University, seems to show that the more
The number of companies offering flexible work schedules has increased as companies try to help employees cope with the demands of home and work. One flextime schedule is to work four 10-hour shifts.
Access the Flipping Fair Coins applet. The experiment consists of tossing three fair coins and recording x, the number of heads.a. Use the laws of probability to write down the simple events in this
Refer to Exercise 4.138.a. If you were to toss only one coin, what would the probability distribution for x look like?b. Perform a simulation using the Flipping Fair Coins applet with n = 1, and
Refer to Exercise 4.138. Access the Flipping Weighted Coins applet. The experiment consists of tossing three coins that are not fair, and recording x, the number of heads.a. Perform a simulation of
Consider a binomial random variable with n = 8 and p = .7. Isolate the appropriate column in Table 1 and fill in the probabilities below.Fill in the blanks in the table below. 4 3 2 5 P(x< k) List
Consider a binomial random variable with n = 9 and p = .3. Isolate the appropriate column in Table 1 and fill in the probabilities below.Fill in the blanks in the table below. 0 1 2 3 4 5 6 7 8 9
A jar contains five balls: three red and two white. Two balls are randomly selected without replacement from the jar, and the number x of red balls is recorded. Explain why x is or is not a binomial
P(x ≤ k) in each case:a. n = 20, p = .05, k = 2b. n = 15, p = .7, k = 8c. n = 10, p = .9, k = 9
Let x be a binomial random variable with n = 20 and p = .1.a. Calculate P(x ‰¤ 4) using the binomial formula.b. Calculate P(x ‰¤ 4) using Table 1 in Appendix I.c. Use the
In 2006, the average combined SAT score (reading + verbal + writing) for college-bound students in the United States was 1518 (out of 2400). Suppose that approximately 45% of all high school
Of all the Harry Potter books purchased in a recent year, about 60% were purchased for readers 14 or older. If 12 Harry Potter fans who bought books that year are surveyed and if p = .6, find the
Consider a Poisson random variable with Î¼ = 2.5. Calculate the following probabilities using the following table. Calculated Value Probability Formula P(x = 0) k! P(x = 1) k! P(x = 2)
Consider a Poisson random variable with Î¼ = 3. Calculate the following probabilities using the table below. Calculated Value Formula Probability P(x = 0) k! P(x = 1) k! P(more than 1
Consider a Poisson random variable with Î¼ = 3. Isolate the appropriate column in Table 2 and fill in the probabilities below.Fill in the blanks in the table below. 4 1 3 5 10 P(xs k)
Consider a Poisson random variable with Î¼ = 0.8. Isolate the appropriate column in Table 2 and fill in the probabilities below.Fill in the blanks in the table below. 1 2 3 4 P(x < k)
Increased research and discussion have focused on the number of illnesses involving the organism Escherichia coli (01257:H7), which causes a breakdown of red blood cells and intestinal hemorrhages in
Repeat the instructions in Exercise 7.85 when three dice are tossed.Two balanced dice are thrown, and the average number on the two upper faces is recorded.a. Use the values μ = 3.5 and σ = 1.71
Two balanced dice are thrown, and the average number on the two upper faces is recorded.a. Use the values μ = 3.5 and σ = 1.71 from Exercise 7.84. What are the theoretical mean and standard
Refer to the die-tossing experiment with n = 1 in Section 7.4 in which x is the number on the upper face of a single balanced die.a. Use the formulas in Section 4.8 to verify that μ = 3.5 and σ =
During long production runs of canned tomatoes, the average weights (in ounces) of samples of five cans of standard- grade tomatoes in pureed form were taken at 30 control points during an 11-day
Refer to Exercise 7.75. During a given week the number of defective bulbs in each of five samples of 100 were found to be 2, 4, 9, 7, and 11. Is there reason to believe that the production process
The results of a Newsweek poll concerning views on abortion given in the table that follows show that there is no consensus on this issue among Americans.Newsweek Poll conducted by Princeton Survey
Refer to Exercise 7.58 and suppose that during a day when the state of the 32-ounce bat production process was unknown, the following measurements were obtained at hourly intervals.Each measurement
A gambling casino records and plots the mean daily gain or loss from five blackjack tables on an x̅ chart. The overall mean of the sample means and the standard deviation of the combined data over
The sample means were calculated for 40 samples of size n = 5 for a process that was judged to be in control. The means of the 40 values and the standard deviation of the combined 200 measurements
The sample means were calculated for 30 samples of size n = 10 for a process that was judged to be in control. The means of the 30 x̅-values and the standard deviation of the combined 300
In the spring of 2004, the U.S. Congress considered a bill that would prevent Americans from suing fast-food giants like McDonald’s for making them overweight. Although the fast-food industry may
The cost of brand-name prescriptions are set to provide support for research and development of these drugs, which may cover as many as 20 years. Nonetheless, a majority of Americans say that costs
News reports tell us that the average American is overweight. Many of us have tried to trim down to our weight when we finished high school or college. And, in fact, only 19% of adults say they do
To find the probability that the sample proportion is less than .8, write down the event of interest ________.When pÌ‚ = .8,Find the probability:P(pÌ‚ < ________) = P(z
You take a random sample of size n = 50 from a binomial distribution with a mean of p = .7. The sampling distribution of p̂ will be approximately _________ with a mean of _________ and a standard
Refer to Exercise 7.15. To find the probability that the sample mean is greater than 55, write down the event of interest ______. When xÌ… = 55,Find the probability:P(xÌ… >
You take a random sample of size n = 49 from a distribution with mean μ = 53 and σ = 21. The sampling distribution of x̅ will be approximately ______ with a mean of ______ and a standard
Two different Gallup Polls were conducted for CNN/USA Today, both of which involved people€™s feelings about the U.S. space program. Here is a question from each poll, along with the
A study of an experimental blood thinner was conducted to determine whether it works better than the simple aspirin tablet in warding off heart attacks and strokes. The study, reported in the Press
In many states, lists of possible jurors are assembled from voter registration lists and Department of Motor Vehicles records of licensed drivers and car owners. In what ways might this list not
A random sample of public opinion in a small town was obtained by selecting every 10th person who passed by the busiest corner in the downtown area. Will this sample have the characteristics of a
A small city contains 20,000 voters. Use the random number table to identify the voters to be included in a random sample of n = 15.
A population contains 50,000 voters. Use the random number table to identify the voters to be included in a random sample of n = 15.
Although faculty salaries at colleges and universities in the United States continue to rise, they do not always keep pace with the cost of living nor with salaries in the private sector. In 2005,
Refer to Exercise 6.83. For ease of calculation, round the number of standard deviations for “C” grades to ± .5 standard deviations, and for “B” and “D” grades to ± 1.5 standard
Find the probability that z lies between z = - 1.48 and z = 1.48.
a. Find the probability that z is greater than - .75.b. Find the probability that z is less than 1.35.
How often do you watch movies at home? A USA Today Snapshot found that about 7 in 10 adults say they watch movies at home at least once a week. Suppose a random sample of n = 50 adults are polled and
Fill in the blanks in the table below and find the necessary sample sizes. One or Two Samples Margin of Error Type of Data Bound, Solve This Inequality Sample Size
Fill in the blanks in the table below and find the necessary sample sizes. One or Two Samples Type of Data Bound, Solve This B Margin of Error Sample Size Inequality p or o Binomial
The voters in the midterm 2006 elections showed that Democrat and Republican differences extend beyond matters of opinion, and actually include the way they see the world. The three most important
Refer to Exercise 8.18. The means and standard deviations for 50 billing statements from each of the computer databases of each of the three hotel chains are given in the table:a. Find a 95%
College graduates are getting more for their degrees as starting salaries rise. To compare the starting salaries of college graduates majoring in chemical engineering and computer science, random
How likely are you to vote in the next presidential election? A random sample of 300 adults was taken, and 192 of them said that they always vote in presidential elections.a. Construct a 95%
Women on Wall Street can earn large salaries, but may need to make sacrifices in their personal lives. In fact, many women in the securities industry have to make significant personal sacrifices. A
The average American has become accustomed to eating away from home, especially at fast-food restaurants. Partly as a result of this fast-food habit, the per-capita consumption of cheese (the main
Don’t Americans know that eating pizza and french fries leads to being overweight? In the same American Demographics article referenced in Exercise 8.98, a survey of women who are the main meal
For a number of years, nearly all Americans say that they would vote for a woman for president IF she were qualified, and IF she were from their own political party. But is America ready for a female
A dean of men wishes to estimate the average cost of the freshman year at a particular college correct to within $500, with a probability of .95. If a random sample of freshmen is to be selected and
In addition to teachers and administrative staff, schools also have many other employees, including bus drivers, custodians, and cafeteria workers. The average hourly wage is $14.18 for bus drivers,
Refer to the Interpreting Confidence Intervals applet.a. Suppose that you have a random sample of size n = 50 from a population with unknown mean μ and known standard deviation σ = 35. Calculate
You have a coin that you think is fair, with π = probability of heads = 1/2. To check, you plan to flip the coin n times.a. Compute the SD of p̂ for each value of n in the table below and fill in
It has been reported that the median price of a home purchased in Portland, Oregon, during 2001 was $172,300. For a random sample of homes purchased in a certain area of the city during that year,
In previous chapters, confidence intervals have been expressed in terms of a sample statistic plus or minus a given expression x̅ + t(s/√n). However, the confidence interval for σ2 cannot
In applying the chi-square statistic to estimation and tests for a population variance, why must the population be normally distributed?
Reconsider the previous exercise about sex and coff ee consumption. The sample data could be organized in a two-way table as follows:a. Fill in the table with counts (which you make up) in such a way
The monthly utility bills for a household in Riverside, California, were recorded for 12 consecutive months starting in January 2006:a. Construct a box plot for the monthly utility costs. b.
If you scored at the 69th percentile on a placement test, how does your score compare with others?
Find the five-number summary and the IQR for these data:19, 12, 16, 0, 14, 9, 6, 1, 12, 13, 10, 19, 7, 5, 8
Below you will find three data sets that have already been sorted. Fill in the blanks to find the upper and lower quartiles. Measurements Above and Below and Measurements Above and Below and Position
Below you will find two practice data sets. Fill in the blanks to find the necessary quartiles. Lower Upper Sorted Position of Q4 Position of Q3 Quartile, Q Quartile, Q3 Data Set .13, .76, .34, .88,
The number of passes completed by Brett Favre, quarterback for the Green Bay Packers, was recorded for each of the 16 regular season games in the fall of 2006 (www.espn.com).a. Draw a stem and leaf
The data from Exercise 1.70 (see data set EX0170), reproduced below, show the last digit of the Social Security number for a group of 70 students.a. You found in Exercise 1.70 that the distribution
The monthly utility bills for a household in Riverside, California, were recorded for 12 consecutive months starting in January 2006:a. Calculate the range of the utility bills for the year 2006.b.
The cost of televisions exhibits huge variation—from $100–200 for a standard TV to $8,000–10,000 for a large plasma screen TV. Consumer Reports gives the prices for the top 10 LCD high
The number of Starbucks coffee shops in 18 cities within 20 miles of the University of California, Riverside is shown in the following table (www.starbucks.com).a. Find the mean, the median, and the
The cost of automobile insurance has become a sore subject in California because insurance rates are dependent on so many different variables, such as the city in which you live, the number of cars
Ten of the 50 largest businesses in the United States, randomly selected from the Fortune 500, are listed below along with their revenues (in millions of dollars):2a. Draw a stem and leaf plot for
The following data set records the yearly charitable contributions (in dollars) to the United Fund for a group of employees at a public university.Use the second applet in Building a Histogram to
The number of Starbucks coffee shops in cities within 20 miles of the University of California, Riverside is shown in the following table.a. Draw a dotplot to describe the data.b. Describe the shape
The most popular colors for compact and sports cars in a recent year are given in the table.5Use an appropriate graphical display to describe these data. Percentage 20 Percentage Color Color Silver
The following are the 2006 state gasoline tax rates in cents per gallon for the 50 United States and the District of Columbia.5a. Construct a stem and leaf display for the data.b. How would you
An advertisement in a recent Time magazine claimed that Geico Insurance will help you save an average of $200 per year on your automobile insurance.15a. Construct a relative frequency histogram to
The mobile Internet is growing, with users accessing sites such as Yahoo! Mail, the Weather Channel, ESPN, Google, Hotmail, and Mapquest from their cell phones. The most popular web browsers are
Many opinion polls have tracked opinions regarding the fear of terrorist attacks following the September 11, 2001, attacks on the World Trade Center. A Newsweek poll conducted by Princeton Survey
Refer to Exercises 1.51 and 1.52. The accompanying stem and leaf plots were generated using MINITAB for the variables named €œPopular Vote€ and €œPercent
Education pays off, according to a snapshot provided in a report to the city of Riverside by the Riverside County Office of Education. 7 The average annual incomes for six different levels of
Refer to Exercise 1.16. For the same data sets, select a convenient starting point, and list the class boundaries for the first two classes. Smallest and Largest Values Convenient Starting Point
For the following data sets, find the range, the minimum class width, and a convenient class width. Convenient Class Width Number of Smallest and Largest Values Number of Classes Minimum Class Width
The four branches of the armed forces in the United States are quite different in their makeup with regard to gender, race, and age distributions. The table below shows the racial breakdown of the
During the spring of 2006 the news media were already conducting opinion polls that tracked the fortunes of the major candidates hoping to become the president of the United States. One such poll
Listed below are the ages at the time of death for the 38 deceased American presidents from George Washington to Ronald Reagan:5a. Construct a stem and leaf plot for the data. Describe the shape.
The officials of major league baseball have crowned a batting champion in the National League each year since 1876. A sample of winning batting averages is listed in the table:5a. Construct a
Refer to Exercise 1.51. Listed here is the percentage of the popular vote received by President Bush in each of the 50 states:8a. By just looking at the table, what shape do you think the data
The table that follows shows the weekend gross ticket sales for the top 20 movies during the week of August 4, 2006:9
How safe is your neighborhood? Are there any hazardous waste sites nearby? The table shows the number of hazardous waste sites in each of the 50 states and the District of Columbia in the year

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