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statistics alive
Questions and Answers of
Statistics Alive
Evaluate the combinations 9. C
Evaluate the permutations 8. P.20
Evaluate the permutations 7. P6 6
Evaluate the permutations 10 6. Plo 9
Evaluate the permutations 5. P 3
40. Flextime A survey to determine the availability of flextime schedules in the California workplace provided the following information for 220 firms located in two California cities.A company is
37. Fruit Flies In a genetics experiment, the researcher mated two Drosophila fruit flies and observed the traits of 300 offspring. The results are shown in the table.One of these offspring is
30. Need Eyeglasses? A large number of adults are classified according to whether they were judged to need eyeglasses for reading and whether they actually used eyeglasses when reading. The
29. Preschool or Not? A teacher randomly selects 1 of his 25 kindergarten students and records the student’s gender, as well as whether or not that student had gone to preschool.a. Construct a tree
27. Free Throws A particular basketball player hits 70% of her free throws. When she tosses a pair of free throws, the four possible simple events and three of their probabilities are as given in the
A sample space consists of five simple events with P(E1) = P(E2)=.15, P(E3)= .4, and P(E4)=2P(E5). 13. Find the probability of event B = {E, E,}.
A sample space consists of five simple events with P(E1) = P(E2)=.15, P(E3)= .4, and P(E4)=2P(E5). 12. Find the probability of event A = {E,, E, E}.
A sample space contains seven simple events: E1 , E2 , . . . ,E7 . Suppose that E1 , E2 , . . . ,E6 all have the same probability, but E7 is twice as likely as the others.Find the probabilities of
A sample space contains seven simple events: E1 , E2 , . . . ,E7 . Suppose that E1 , E2 , . . . ,E6 all have the same probability, but E7 is twice as likely as the others.Find the probabilities of
A sample space contains seven simple events: E1 , E2 , . . . ,E7 . Suppose that E1 , E2 , . . . ,E6 all have the same probability, but E7 is twice as likely as the others.Find the probabilities of
Experiment III A sample space consists of S={E1, E2, E3,E4 }. List the simple events in "both A and B," "A or B or both," and "not B" for the events given 15. A={E} and B={E,E,,E,}
Experiment III A sample space consists of S={E1, E2, E3,E4 }. List the simple events in "both A and B," "A or B or both," and "not B" for the events given 14. A={E,E} and B={E,E,,E}
Experiment III A sample space consists of S={E1, E2, E3,E4 }. List the simple events in "both A and B," "A or B or both," and "not B" for the events given 13. A={E, E} and B={E,E,}
5. How does your blood pressure compare with that of others of your same gender? Check your systolic blood pressure against the appropriate histogram in part 3 or 4 to determine whether your blood
4. Consider the 965 men and 945 women as the entire population of interest. Choose a sample of n550 men and n550 women, recording their systolic blood pressures and their ages. Draw two relative
3. Construct a relative frequency histogram of the systolic blood pressure data for the 965 men and another for the 945 women. Compare the two histograms. Blood pressure is the pressure that the
2. What types of graphs can be used to describe this data set? What types of questions could be answered using different types of graphs? Blood pressure is the pressure that the blood exerts against
1. What are the variables that have been measured in this survey? Are the variables quantitative or qualitative? Discrete or continuous? Are the data univariate, bivariate, or multivariate? Blood
20. How Expensive Is Your College? The data that follows is a sample of 4-year colleges and universities in the United States, along with their costs for tuition and fees and for room and board in
19. Old Faithful The following data are the waiting times between eruptions of the Old Faithful geyser in Yellowstone National Park.25 Use a graph to describe the waiting times. If there are any
18. Laptops and Learning An informal experiment was conducted at a New Jersey high school to investigate the use of laptop computers as a learning tool for studying algebra.24 A freshman class of 20
17. Kentucky Derby The following data set shows the winning times (in seconds) for the Kentucky Derby races from 1950 to 2017.23a. Do you think there will be a trend in the winning times over the
16. Presidential Vetoes Here is a list of the 44 presidents of the United States along with the number of regular vetoes used by eachUse an appropriate graph to describe the number of vetoes cast by
15. What’s Normal? The 37.0-degree standard for human body temperature was derived by a German doctor in 1868. To check this claim, Allen Shoemaker22 recorded the body temperatures of 130 healthy
14. Hydroelectric Plants The following data represent the installed capacities in megawatts(millions of watts) for the world’s 15 largest hydroelectric plants.a. Construct a stem and leaf display
13. Gasoline Tax The following are the 2017 state gasoline tax in cents per gallon for the 50 U.S. states and the District of Columbiaa. Draw a stem and leaf display for the data.b. How would you
12. An Archeological Find An article in Archaeometry described 26 samples of Romano-British pottery, found at four different kiln sites in the United Kingdom.20 The percentage of aluminum oxide in
11. Wind Power Wind power is the use of air flow through wind turbines to power generators for electric power. The map that follows shows the net generation from wind (in megawatt hours) by state at
10. Pulse Rates A group of 50 biomedical students recorded their pulse rates by counting the number of beats for 30 seconds and multiplying by 2.a. Why are all of the measurements even numbers?b.
9. Election Results, continued Refer to Exercises 7 and 8.The accompanying stem and leaf plots were generated using MINITAB for the variables named “Popular Vote”and “Percent Votea. Describe
8. Election Results, continued Refer to Exercise 7.Listed here is the percentage of the popular vote received by President Trump in each of the 50 statesa. By just looking at the table, what shape do
7. Election Results The 2016 election was a race in which Donald Trump defeated Hillary Clinton and other candidates, winning 304 electoral votes, or 57% of the 538 available. However, Trump only won
6. Gulf Oil Spill Cleanup On April 20, 2010, the United States experienced a major environmental disaster when a Deepwater Horizon drilling rig exploded in the Gulf of Mexico. The number of personnel
5. Major World Lakes A lake is a body of water surrounded by land. Hence, some bodies of water named “seas,” like the Caspian Sea, are actually salt lakes. In the table that follows, the length
4. Continuous or Discrete, again Identify each variable as continuous or discrete:a. Number of properties for sale by a real estate agencyb. Depth of a snowfallc. Length of time for a driver to
3. Continuous or Discrete? Identify each variable as continuous or discrete:a. Length of time between arrivals at a medical clinicb. Time required to finish an examinationc. Weight of two dozen
2. Symmetric or Skewed? Do you expect the distributions of the following variables to be symmetric or skewed? Explain.a. Price of a 250-gram can of peasb. Height in centimeters of freshman women at
1. Quantitative or Qualitative? Identify each variable as quantitative or qualitative:a. Ethnic origin of a candidate for public officeb. Score (0–100) on a placement examinationc. Fast-food
(Dotplots, Stem and Leaf Plots, Histograms) The top 50 over-the-counter (OTC) stocks in a recent year were found using an equal weighting of 1-year total return and average daily dollar volume
(Line Charts) The Dow Jones Industrial Average was monitored at the close of trading for 10 days in a recent year with the results shown in Table 1.18.1. Although we could simply enter this data into
33. Starbucks Students at the University of California, Riverside (UCR), along with many other Californians love their Starbucks! The distances in kilometers from campus for the 39 Starbucks stores
32. Student Heights The self-reported heights of 105 students in a biostatistics class are described in the relative frequency histogram shown here.a. Describe the shape of the distribution.b. Do you
31. Windy Cities Are some cities more windy than others? Does Chicago deserve to be nicknamed“The Windy City”? These data are the average wind speeds (in kilometers per hour) for 54 selected
30. Ages of Pennies, continued The data here represent the ages of a different set of 50 pennies, again calculated using AGE 5 =CURRENT YEAR-YEAR ON PENNY.a. Draw a relative frequency histogram to
29. Ages of Pennies We collected 50 pennies and recorded their ages, by calculating AGE 5 =CURRENT YEAR-YEAR ON PENNY.a. Before drawing any graphs, what do you think the distribution of penny ages
28. Batting Champions 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
27. How Long Is the Line? To decide on the number of service counters needed for stores to be built in the future, a supermarket chain gathered information on the length of time (in minutes)required
26. Preschool The ages (in months) at which 50 children were first enrolled in a preschool are listed as followsa. Construct a relative frequency histogram for these data. Start the lower boundary of
25. A Recurring Illness The length of time (in months) between the onset of a particular illness and its recurrence was recorded for n50 patients:a. Construct a relative frequency histogram for
24. Survival Times Altman and Bland report the survival times for patients with active hepatitis, half treated with prednisone and half receiving no treatment.13 The data that follow are adapted from
The test scores on a 100-point test were recorded for 20 students. Construct a relative frequency distribution for the data, using 6 classes of width 8, and starting at 52.23. Compare the shape of
The test scores on a 100-point test were recorded for 20 students. Construct a relative frequency distribution for the data, using 6 classes of width 8, and starting at 52.22. Is the shape of the
The test scores on a 100-point test were recorded for 20 students. Construct a relative frequency distribution for the data, using 6 classes of width 8, and starting at 52.21. Describe the shape and
20. Describe the shape of the distribution. Do you see any outliers?Construct a relative frequency histogram for these 20 measurements on a discrete variable that can take only the values 0, 1, and
19. If a measurement is selected at random from the 20 measurements shown, what is the probability that it is a 2?Construct a relative frequency histogram for these 20 measurements on a discrete
18. What proportion of the measurements are less than 2?Construct a relative frequency histogram for these 20 measurements on a discrete variable that can take only the values 0, 1, and 2. 2007 100 1
17. What proportion of the measurements are greater than 1?Construct a relative frequency histogram for these 20 measurements on a discrete variable that can take only the values 0, 1, and 2. 2007
Relative Frequency Histogram I Construct a relative frequency histogram for these 50 measurements using classes starting at 1.6 with a class width of .5.16. What fraction of the measurements are from
Relative Frequency Histogram I Construct a relative frequency histogram for these 50 measurements using classes starting at 1.6 with a class width of .5.15. What is the probability that a measurement
Relative Frequency Histogram I Construct a relative frequency histogram for these 50 measurements using classes starting at 1.6 with a class width of .5.14. What fraction of the measurements are less
Relative Frequency Histogram I Construct a relative frequency histogram for these 50 measurements using classes starting at 1.6 with a class width of .5.13. How would you describe the shape of the
use the information given to find a convenient class width. Then list the class boundaries that can be used to create a relative frequency histogram. 12. 8 classes for n = 75 measurements; minimum
use the information given to find a convenient class width. Then list the class boundaries that can be used to create a relative frequency histogram. 11. 10 classes for n = 120 measurements; minimum
use the information given to find a convenient class width. Then list the class boundaries that can be used to create a relative frequency histogram. 10. 6 classes for n = 20 measurements; minimum
use the information given to find a convenient class width. Then list the class boundaries that can be used to create a relative frequency histogram. 9. 7 classes for n = 50 measurements; minimum
Use the relative frequency histogram that follows to calculate the proportion of measurements falling into the intervals given. Remember that the classes include the left boundary point, but not the
Use the relative frequency histogram that follows to calculate the proportion of measurements falling into the intervals given. Remember that the classes include the left boundary point, but not the
Use the relative frequency histogram that follows to calculate the proportion of measurements falling into the intervals given. Remember that the classes include the left boundary point, but not the
Use the relative frequency histogram that follows to calculate the proportion of measurements falling into the intervals given. Remember that the classes include the left boundary point, but not the
Use the relative frequency histogram that follows to calculate the proportion of measurements falling into the intervals given. Remember that the classes include the left boundary point, but not the
Use the relative frequency histogram that follows to calculate the proportion of measurements falling into the intervals given. Remember that the classes include the left boundary point, but not the
Construct a relative frequency histogram using the statistical table. How would you describe the shape of the distribution? 2. Number of Household Pets 0 1 Frequency 13 23456 19 12 4 1 5 0 1
Construct a relative frequency histogram using the statistical table. How would you describe the shape of the distribution? 1. Class Boundaries 100 to
Twenty-five Starbucks® customers are polled in a marketing survey and asked, “How often do you visit Starbucks in a typical week?” Table 1.12 lists the responses for these 25 customers.Use a
25. American Presidents The following table lists the ages at the time of death for the 38 deceased American presidents from George Washington to Ronald Reagan5:a. Before you graph the data, think
24. Top 20 Movies The table that follows shows the weekend gross ticket sales for the top 20 movies for the weekend of August 25–28, 20171a. Draw a stem and leaf plot for the data. Describe the
23. Hazardous Waste How safe is your neighborhood? Are there any hazardous waste sites nearby? The table and the stem and leaf plot show the number of hazardous waste sites in each of the 50 states
16. Test Scores The test scores on a 100-point test were recorded for 20 students.61 93 91 86 55 63 86 82 76 57 94 89 67 62 72 87 68 65 75 84a. Use a stem and leaf plot to describe the data.b.
15. Cheeseburgers Create a dotplot for the number of cheeseburgers eaten in a given week by 10 college students.4 5 4 2 1 3 3 4 2 7a. How would you describe the shape of the distribution?b. What
14. Measuring over Time A quantitative variable is measured once a year for a 10-year period. What does the line chart tell you about the data?Construct a line chart to describe the data Year
13. Navigating a Maze A psychologist measured the length of time it took for a rat to get through a maze on each of 5 days. Do you think that any learning is taking place?Construct a line chart to
12. Compare the dotplot and the stem and leaf plot. Do they convey roughly the same information?A discrete variable can take on only the values 0, 1, or 2. Use the set of 20 measurements on this
11. Describe the shape of the distribution. Do you see any outliers?A discrete variable can take on only the values 0, 1, or 2. Use the set of 20 measurements on this variable to answer the question
10. How could you define the stem and leaf for this data set? Draw the stem and leaf plot.A discrete variable can take on only the values 0, 1, or 2. Use the set of 20 measurements on this variable
9. Draw a dotplot to describe the data.A discrete variable can take on only the values 0, 1, or 2. Use the set of 20 measurements on this variable to answer the question 1 1 1 12 2121 - 220 2007 1
8. Does the stem and leaf plot in Exercise 7 improve the presentation of the data? 4.5 4.3 Auth 3.2 3.5 3.9 3.5 4.8 3.6 3.3 4.3 4.2 3.9 3.7 4.3 4.4 3.4 4.4 4.0 3.6 3.5 3.9 tttw 3.9 4.2 4.0
7. Draw a stem and leaf plot, using each number in theones place twice to form the stems. 4.5 4.3 Auth 3.2 3.5 3.9 3.5 4.8 3.6 3.3 4.3 4.2 3.9 3.7 4.3 4.4 3.4 4.4 4.0 3.6 3.5 3.9 tttw 3.9 4.2 4.0
6. Draw a stem and leaf plot, using the number in the ones place as the stem. 4.5 4.3 Auth 3.2 3.5 3.9 3.5 4.8 3.6 3.3 4.3 4.2 3.9 3.7 4.3 4.4 3.4 4.4 4.0 3.6 3.5 3.9 tttw 3.9 4.2 4.0
5. Find the eighth and ninth largest observations. Construct a stem and leaf plot for these 50 measurements and answer the question 3.1 4.9 2.8 3.6 2.5 4.5 3.5 3.7 4.1 4.9 2.9 2.1 3.5 4.0 3.7 2.7 4.0
4. Use the stem and leaf plot to find the smallest observation. Construct a stem and leaf plot for these 50 measurements and answer the question 3.1 4.9 2.8 3.6 2.5 4.5 3.5 3.7 4.1 4.9 2.9 2.1 3.5
3. Describe the shape of the distribution. Do you see any outliers? Construct a stem and leaf plot for these 50 measurements and answer the question 3.1 4.9 2.8 3.6 2.5 4.5 3.5 3.7 4.1 4.9 2.9 2.1
Construct a dotplot for the data given . Describe the shape of the distribution and look for any outliers.2. 53, 61, 58, 56, 58, 60, 54, 54, 62, 58, 60, 58, 56, 56, 58
Construct a dotplot for the data given . Describe the shape of the distribution and look for any outliers.1. 2.0, 1.0, 1.1, 0.9, 1.0, 1.2, 1.3, 1.1, 0.9, 1.0, 0.9, 1.4, 0.9, 1.0, 1.0
An administrative assistant for the athletics department at a local university is monitoring the GPAs for eight members of the women’s volleyball team. He enters the GPAs into the database but
Look at the four dotplots shown in Figure 1.12. Describe the locations and shapes of these distributions. 2 4 -+ 9 9 6 7 8 9
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