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A Pathway To Introductory Statistics 1st Edition Jay Lehmann - Solutions
By measuring the glycated hemoglobin level in the blood-stream, a doctor can determine what a patient’s average blood sugar level has been in past months. The glycated hemoglobin level of untreated type 2 diabetes patients is too high. Between March 2008 and March 2009, researchers tested whether
Refer to Exercise 8 for a description of a study about the drug ipragliflozin.Exercise 8By measuring the glycated hemoglobin level in the blood-stream, a doctor can determine what a patient’s average blood sugar level has been in past months. The glycated hemoglobin level of untreated type 2
Do you have an Instagram account? If so, how often do you visit the site? Data for 247 Instagram users are described by the frequency bar graph in Fig. 10.a. What variable is described by the bar graph? Is it categorical or numerical?b. Estimate the number of Instagram users in the study who
The frequency bar graph in Fig. 11 describes how often 1026 Facebook users visit the site.a. What variable is described by the bar graph? Is it categorical or numerical? Explain.b. Estimate the number of Facebook users in the study who visited the site less than once per week.c. Estimate the number
Of 2050 American tech employees who took part in an online survey, 389 said they had stolen at least one object from their work. The reasons why they said they stole are described by the bar graph in Fig. 12.a. Estimate the number of the tech employees who said they stole because they needed the
A total of 1014 American adults were asked, €œHow worried are you that you or someone in your family will become a victim of terrorism?€ The adults€™ responses are described by the bar graph in Fig. 13.a. Estimate the number of those surveyed who are not worried at all about them or
At the website Lending Club®, customers can either borrow money or fund money for others€™ loans. When someone applies for a loan, Lending Club grades the potential loan from A to G, where A means the potential loan has very low risk and G means it has very high risk. A loan with grade A will
The relative frequency bar graph in Fig. 15 describes 2234 Internet users€™ reading habits of print books and e-books.a. Find the proportion of the surveyed Internet users who read only print books.b. Find the proportion of the surveyed Internet users who read more e-books than print books OR
A total of 2647 single adults, ages 18€“59, took part in an online survey by responding to the following question: €œDo you believe it is acceptable to date more than one person at a time?€ Their responses are summarized in the relative frequency bar graph in Fig. 16.Find the proportion
A total of 1000 adults were surveyed whether they thought getting a mortgage was harder than it was a year ago. Their responses are summarized in the relative frequency bar graph in Fig. 17.Find the proportion of those surveyed who a. Thought it was harder to get a mortgage at the time of the
A total of 2647 single adults, ages 18€“59, took part in an online survey by responding to the following question: €œDo you believe it is acceptable to date more than one person at a time?€ Their responses are summarized in the relative frequency bar graph in Fig. 16.a. What is the
A total of 1000 adults were surveyed whether they thought getting a mortgage was harder than it was a year ago. Their responses are summarized in the relative frequency bar graph in Fig. 17.a. Find the sum of the relative frequencies of all the categories. Why does your result make sense?b.
In 2012, 709 women and 586 men were asked how much confidence they had in Congress. The results of the survey are de- scribed by the multiple bar graph in Fig. 18.a. Which gender of those surveyed tended to have more confidence in Congress? Explain.b. What proportion of men surveyed did NOT have a
In 1989, fathers who stayed at home were surveyed about why they stayed at home. A similar survey was carried out in 2012. The fathers€™ responses and the relative frequencies are described by the multiple bar graph in Fig. 19 for both years.a. What percentage of fathers in the 2012 study
Table 8 shows the top 5 cosmetic surgeries in 2013, their frequencies (in number of thousands of times performed in 2013), and their relative frequencies.a. Construct a frequency bar graph.b. Construct a relative frequency bar graph.c. Are the bar graphs you constructed examples of descriptive
Table 9 shows the top 6 bands played on alternative rock station Live 105 on April 18, 2014. The table includes the bands€™ frequencies (numbers of times played that day) and their relative frequencies.a. Construct a frequency bar graph.b. Construct a relative frequency bar graph.c. Are the bar
Here are the countries of the top 15 men in the 2013 ING® New York City Marathona. Construct a frequency and relative frequency table of the data. Use the category €œOther€ for Ethiopia, South Africa, Italy, and France.b. Construct a frequency bar graph.c. Construct a relative frequency bar
Here are the countries of the top 22 women in the 2013 Chicago Marathona. Construct a frequency and relative frequency table.b. Construct a frequency bar graph.c. Construct a relative frequency bar graph.d. What percentage of the top 22 women are NOT from the United States?e. What percentage of the
The author surveyed one of his prestatistics classes, asking, €œIf you could have one superpower, what would it be?€ Here are the students€™ responses:a. Construct a frequency bar graph.b. Construct a relative frequency bar graph.c. What proportion of the students chose flying?d. What
The author surveyed one of his statistics classes about favorite music genres. Here are students€™ responses:a. Construct a frequency bar graph.b. Construct a relative frequency bar graph.c. What proportion of the students prefer electronic music?d. What proportion of the students do NOT prefer
Teenagers were surveyed about their favorite manufacturer of headphones. The data in Table 10 are based on their responses.a. Construct a frequency bar graph.b. Construct a relative frequency bar graph.c. What proportion of the teenagers prefer Skullcandy headphones?d. What proportion of the
American adults were surveyed about whom they trust most for financial advice. The data in Table 11 are based on the survey€™s results.a. Construct a frequency bar graph.b. Construct a relative frequency bar graph.c. What proportion of the adults trust their spouse the most for financial
Pie charts of the carbon dioxide emissions and populations of various regions are shown in Figs. 29 and 30, respectively.Figure 29Figure 30a. Of the six regions specified in the pie charts, which region emits the most carbon dioxide?b. Of the six regions specified in the pie charts, which region
A total of 2022 American adults were surveyed about their opinion on the degree to which political leaders talk about their faith and prayer. Their responses are summarized in Table 22.Table 22Opinions on the Degree to Which Political Leaders Talk about Their Faith and PrayerResponses FrequencyToo
A total of 8719 American adults were asked, “How often do you unplug from technology?” Their responses are summarized in Table 23. Table 23 Responses to “How often do you unplug from technology?” Responses Frequency Never ………………………...... 3749 A few times a year
A total of 2452 American adults responded to a survey about their income class and their general health level. Table 24 summarizes their responses.a. What proportion of the lower-income adults have excellent health?b. What proportion of the middle-income adults have excellent health?c. What
A total of 2452 American adults responded to a survey about their income level and their general level of health. Table 24 summarizes their responses.a. What proportion of the adults who have poor health are lower-income?b. What proportion of the lower-income adults have poor health?c. What
Table 25 compares class standings with types of body art for 490 undergraduate students surveyed at a state university in the Southwest.a. Find the proportion of those surveyed who have tattoos only.b. Find the proportion of sophomores surveyed who have both body piercings and tattoos.c. Find the
A total of 1220 adults were asked the following question: €œSome people say that because of past discrimination, African Americans should be given preference in hiring and promotion. Others say that such preference in hiring and promotion of African Americans is wrong because it discriminates
Table 27 compares the genders of patients who died from oral cancer and the types of oral cancer.a. What proportion of those who died from tongue cancer were men?b. What proportion of oral cancer deaths were from tongue cancer?c. What proportion of women who died of oral cancer did NOT die from
A total of 2397 American adults responded to a survey about their income class and whether their financial situation is better, worse, or no different than before the recession started in December 2007. Table 28 summarizes their responses.a. What proportion of those surveyed have financial
The author surveyed students in one of his statistics classes about whether they smoke and whether they run red traffic lights (see Table 29). The survey was anonymous, so the students€™ names are fictional.Summarize the data by completing Table 30.
In a survey of one of the author€™s statistics classes, 42 students recorded whether they were working. A few of the results are shown in Table 31.Summarize the data by completing Table 32.
In Exercise 19, you analyzed 10 students€™ responses to a survey about whether they smoked and whether they ran red lights. Table 33 shows the responses of all 23 students who anonymously responded to both questions.a. What proportion of the students run red lights OR smoke?b. What proportion
In Exercise 20, you analyzed 10 students€™ responses to a survey about their gender and whether they were working. Table 34 shows the responses of all 42 students.a. What proportion of the male students were working?b. What proportion of the female students were working? Compare your result to
The percentages of world population who have unfavorable views on various religious groups are shown in Table 35. Why don’t the percentages add up to 100%? Would it be appropriate to use a pie chart to describe the data? Explain. Table 35 Percentages of World Population Who Have Unfavorable Views
Compare the ease of constructing and analyzing a pie chart and a relative frequency bar graph. Which diagram is easier to construct by hand? By using technology? Which diagram makes it easier to compare the relative frequencies of two categories? Which diagram better illustrates how the frequency
From 2008 to 2012, college students were surveyed about how they spend their time on weekdays. Their responses and the percentages are described by the pie chart in Fig. 23.a. What variable is described by the pie chart? Is it categorical or numerical? Explain.b. What proportion of a weekday does a
In Exercise 32 of Homework 3.1, you analyzed reasons why fathers stayed at home in 2012. Their responses and the percentages are described by the pie chart in Fig. 24.a. What variable is described by the pie chart? Is it categorical or numerical? Explain.b. A father might stay at home for multiple
The percentages of murders in 2010 carried out by using various types of weapons are described by the pie chart in Fig. 25.a. Find the percentage of murders that were carried out using firearms OR knives or other cutting instruments.b. If a murder victim was both stabbed with a knife and shot with
Which fast food chain makes the best burger? The responses of surveyed Americans are described by the pie chart in Fig. 26.a. Find the percentage of respondents who said Five Guys® OR In-N-Out® have the best burgers.b. All the restaurants included in the €œother€ category have percentages
The most likely ways (transmission routes) women and men acquired HIV and the percentages are described by the pie charts in Figs. 27 and 28 for women and men, respectively.Figure 27Figure 28a. What percentage of the women who acquired HIV were injecting drug users?b. What percentage of men who
The asking prices (in thousands of dollars) of some four-bedroom homes in Akron, Ohio, are described by the dotplot in Fig. 51.a. A buyer can afford to pay up to $150 thousand. Assuming sellers will not lower their asking prices, what proportion of the homes can the buyer afford?b. What proportion
The square footages of some three-bedroom homes for sale in Akron, Ohio, are described by the dotplot in Fig. 52.a. A family wants a home with at least 1500 square feet. What proportion of the homes meets this condition?b. What proportion of the homes have square footages between 1500 and 2000
The percentages of residents who are Protestant for each of the 50 states are described by the stemplot in Fig. 53.Variable: ProtestantDecimal point is 1 digit(s) to the right of the colon.Leaf unit = 1a. What is the frequency of the observation 58%? What does it mean in this situation? b. Alabama
Students in one of the author€™s prestatistics classes anonymously estimated the author€™s age (in years). Their responses are described by the stemplot in Fig. 54.Variable: AgeDecimal point is 1 digit(s) to the right of the colon.Leaf unit = 1a. Use the 50th percentile to measure the
A time-series plot of the numbers of Radio Shack® stores is shown in Fig. 55.a. Estimate the number of stores in 2004.b. Estimate when there were 6000 stores.c. Has the number of stores increased, stayed approximately constant, decreased, or none of these from 2002 to 2013?d. A student estimates
A time-series plot of college students€™ average spending (in dollars) on course materials is shown in Fig. 56.a. Estimate the average spending on course materials in 2009.b. Estimate when the average annual spending on course materials was $640.c. Estimate the change in average annual spending
The following data are the percentages of adults who exercise often for the Midwestern states.a. Construct a dotplot.b. What is the frequency of the observation 52%? What does it mean in this situation?c. Indiana and Ohio have the lowest exercise rates of the Midwestern states. What are their
The following data are the percentages of Americans who exercise often for the Western states.a. Construct a dotplot.b. What is the frequency of the observation 60%? What does it mean in this situation?c. Hawaii has the largest exercise rate of the Western states. What is the exercise rate?d. For
The author surveyed the students in one of his algebra classes, asking how many hours they spend watching TV shows, movies, and videos on a weekday. Here are their responses:a. Is the observation 30 hours an outlier? What might the student have thought the question was? What type of bias is this?
The author surveyed the students in one of his algebra classes, asking them their ages. Here are their responses:a. Construct a dotplot.b. What proportion of the observations are between 20 and 22 years, inclusive?c. What proportion of the observations are at least 24 years?d. What proportion of
If a restaurant in Alameda County, California, receives a food safety grade of yellow, that means two or more major food safety violations were identified and corrected during an inspection. The following data are the numbers of restaurants in Alameda County, California, that received yellow grades
Muhammad Ali is considered by many to be one of the greatest heavyweight boxers in history. The following data are the numbers of rounds in his wins from November 1966 to September 1978.a. What variable is described by the data? Is it discrete or continuous?b. Construct a dotplot.c. Use the 50th
The following data are the numbers of miles of bike lanes per square mile for the 10 cities with the most miles of bike lanes.a. Construct a stemplot.b. How many of the 10 cities have at most 3.0 miles of bike lanes per square mile?c. Find the proportion of the 10 cities that have at least 4.1
The following data are the U.S. sales (in millions of al- bums) of the top 10 best-selling Christmas albums.a. Construct a stemplot.b. Miracle: The Holiday Album by Kenny G is the best-selling Christmas album. What are its sales?c. Miracle: The Holiday Album is approximately 36 minutes long. If all
The following data are the highway gas mileages (in miles per gallon) of some randomly selected Kia car models.a. What variable is described by the data? Is it discrete or continuous?b. Construct a split stem.c. What is the frequency of the observation 30 miles per gallon? What does it mean in this
The following data are the highway gas mileages (in miles per gallon) of some randomly selected Dodge car models.a. What variable is described by the data? Is it discrete or continuous?b. Construct a split stem.c. What is the frequency of the observation 27 miles per gallon? What does it mean in
The following data are the top 50 men€™s times (in minutes) in the 2013 ING New York City Marathon.a. Construct a split stem.b. What is the frequency of the observation 131 minutes? What does it mean in this situation?c. Which observation has the greatest frequency? What is the frequency?d. How
The following data are the top 50 women€™s times (in minutes) in the 2013 ING New York City Marathon.a. Construct a split stem.b. What is the frequency of the observation 148 minutes? What does it mean in this situation?c. Which observation has the greatest frequency? What is the frequency?d.
Open Streets Initiatives temporarily close streets to motorized traffic and open them for jogging, bicycling, and other physical activities. The numbers of large cities with Open Streets Initiatives are shown in Table 41 for various years.Table 41Numbers of Large Cities with Open Streets
The percentages of U.S. households with only a cell phone (no landline phone) are shown in Table 42 for various years.Table 42Percentages of U.S. Households with Only a Cell PhoneYear Percent2003 …………………….. 22005 …………………….. 82007 ……………………..132009
The number of deaths from collisions at highway-railroad crossings is shown in Table 43 for various years.Table 43Numbers of Deaths from Collisions at Highway-railroad CrossingsYearNumber of Deaths1990 ………………………….6981995 ………………………….5792000
The violent crime rates (in number of violent crimes per 100,000 people) in the United States are shown in Table 44 for various years.Table 44U.S. Violent Crime rates Violent Crime Rate Year(crimes per 100,000 people)1990 ………………………………7301995
The ages (in years) of 1098 people stopped (on foot or in a vehicle) by police in New York City on December 1, 2012, are described by the dotplot in Fig. 57 and the stemplot in Fig. 58, although the right part of the stemplot has been cut off (truncated).Figure 57Figure 58Decimal point is 1
Estimates of the numbers of militants who died from 74 drone strikes in Pakistan in 2012 and 2013 are described by the dotplots in Fig. 59. The numbers of militants who died for certain and the most possible numbers of militants who died are both described.a. For each distribution, use the 50th
Access the data about the United Airlines departure delays, which are available at MyMathLab and at the Pearson Downloadable Student Resources for Math & Stats website.a. Construct a dotplot of the departure delays.b. Estimate the smallest observation. What does it mean in this situation?c.
Access the data about tuitions and fees at 4-year colleges and universities, which are available at MyMathLab and at the Pearson Downloadable Student Resources for Math & Stats website.a. Construct a dotplot of the tuitions and fees at public, 4-year colleges and universities and a dotplot of
A student surveys 16 students who work and constructs a dotplot of the numbers of hours they work (see Fig. 60). On the basis of the dotplot, the student concludes that there are no outliers.a. Explain why the dotplot is incorrect and construct a correct one.b. Is the student correct that there are
A student tries to construct a time-series plot to describe U.S. imports (in millions of pounds) of quinoa (see Fig. 61). The student concludes that the data points lie on a straight line.a. Explain why the time-series plot is incorrect and construct a correct one.b. Is the student correct that the
From which type of diagram is it easier to tell the values of a variable, a dotplot or a stemplot? Explain.
The numbers of countries requiring picture warnings on cigarette packages are shown in Table 45 for various years.Table 45Numbers of Countries requiring Picture Warnings on Cigarette PackagesYear Number2010 …………………..342011 …………………..402012 …………………..552013
The following data are students€™ scores (in points) on a test in one of the author€™s intermediate algebra classes.Assume the author used the following cutoffs for grades:€¢ A: 85th percentile€¢ B: 50th percentile€¢ C: 30th percentile€¢ D: 10th percentileFind the frequencies of
In Exercise 9, you analyzed the ages (in years) of 1089 people (on foot or in a vehicle) stopped by police in New York City on December 1, 2012 (see Fig. 89). Some of the ages are less than 10 years or greater than 65 years, but the bars for those ages would not be visible.a. Find the proportion of
The approval rating of the President is the percentage of people surveyed who believe the President is doing a good job. The histogram in Fig. 90 displays President Obama€™s daily approval ratings in 2009.Fig. 90a. Describe the shape of the distribution. What does this mean in this situation?b.
The salaries (in millions of dollars) of football players on the Eagles and Steelers teams are described by the relative frequency histograms in Fig. 93.a. Estimate the proportion of the Steelers who earn less than $1 million. Estimate the proportion of the Eagles who earn less than $1 million.b.
The numbers of hours some college students spend watching television during the summer are described by the density histogram in Fig. 94.a. Compute the area of each of the five bars in the density histogram.b. Find the total area of the five bars.c. Explain why the total area of the bars of any
The numbers of hours some trigonometry students spent studying for their first test are described by the density histogram in Fig. 95.a. Compute the area of each of the six bars in the density histogram.b. Find the total area of the six bars.c. Explain why the total area of the bars of any density
The average numbers of days it took Chicago€™s Department of Streets & Sanitation to respond to requests to fix potholes are described by the density histogram in Fig. 96 for each of the weeks in 2012 and 2013.a. Identify the class that contains the 50th percentile, which is a measure of
The average numbers of days it took Chicago€™s Department of Streets & Sanitation to respond to requests to fix street lights €œAll Out€ (three or more lights) are described by the density histogram in Fig. 97 for each of the weeks in 2012 and 2013.a. Identify the class that contains
The 2011€“2012 tuitions (in thousands of dollars) of 4-year, private, not-for-profit universities and colleges are described by the density histogram in Fig. 98. Some of the tuitions are greater than 45 thousand dollars, but the bars for those tuitions would not be visible.a. What variable is
The 2011€“2012 tuitions (in thousands of dollars) of 2-year, public colleges are described by the density histogram in Fig. 99. Some of the tuitions are greater than 8 thousand dollars, but the bars for those tuitions would not be visible.a. What variable is described by the histogram? Is it
The 2011€“2012 tuitions (in thousands of dollars) of 4-year, private, not-for-profit universities and colleges are described by the density histogram in Fig. 98. Some of the tuitions are greater than 45 thousand dollars, but the bars for those tuitions would not be visible.a. Estimate the
The 2011€“2012 tuitions (in thousands of dollars) of 2-year, public colleges are described by the density histogram in Fig. 99. Some of the tuitions are greater than 8 thousand dollars, but the bars for those tuitions would not be visible.a. At Cossatot Community College of the University of
Here are the percentages of Americans who are obese for the Northeastern and Midwestern states:For parts (a), (b) and (c), begin with lower class limit 22 and class width 2.a. Construct a frequency and relative frequency table.b. Construct a frequency histogram.c. Construct a relative frequency
Here are the percentages of Americans who are obese for 11 randomly selected Southern states and 9 randomly selected Western states:For parts (a), (b), and (c), begin with lower class limit 20 and class width 2.a. Construct a frequency and relative frequency table.b. Construct a frequency
The author surveyed students in one of his prestatistics classes about the number of texts they send per weekday. Here are their responses:For parts (a) and (b), begin with lower class limit 0 and class width 50.a. Construct a frequency histogram.b. Construct a relative frequency histogram.c. What
The author surveyed Facebook users in one of his statistics classes about the number of friends they have on Facebook. Here are their responses:For parts (b) and (c), begin with lower class limit 0 and class width 200.a. One student wrote €œ100€“200.€ What value would represent this
Here are the prices (in dollars) of some randomly selected new graphing calculators:For parts (a) and (b), begin with lower class limit 25 and class width 25.a. Construct a frequency histogram.b. Construct a relative frequency histogram.c. What proportion of the graphing calculators are priced
Here are the prices (in dollars) of some randomly selected smartphones:For parts (a) and (b), begin with lower class limit 25 and class width 25.a. Construct a frequency histogram.b. Construct a relative frequency histogram.c. Describe the shape of the distribution.d. What proportion of the
Access the data about the gas mileages of all 2014 cars, which are available at MyMathLab and at the Pearson Downloadable Student Resources for Math & Stats website. When constructing relative frequency histograms for parts (a) and (b), begin with lower class limit 5 miles per gallon and class
Access the data about cruise ships, which are available at MyMathLab and at the Pearson Downloadable Student Resources for Math & Stats website.a. Construct a pie chart that describes the distribution of the companies. What proportion of the cruise ships are owned by Royal Caribbean, Carnival,
A student measures the temperatures on 9 days in a row, all in degrees Fahrenheit, and lists them from smallest to largest:40, 60, 60, 67, 67, 67, 68, 68, 69Then she constructs a frequency histogram (see Fig. 100) and concludes that the distribution is symmetric.a. Explain why the student€™s
Explain why if we describe a frequency distribution using a histogram with equal class widths of 1, the histogram is about the same thing as a dotplot.
Explain how the frequency histogram of a bimodal distribution might appear to be describing a unimodal distribution if the equal class widths are too large.
Sketch a frequency histogram that describes a skewed-left distribution, which has an approximate center 70 and an outlier of 20.
Sketch a frequency histogram that describes a skewed-left distribution, which has an approximate center 70 and an outlier of 20. Discuss.
Thirty-five students take a prestatistics test worth 100 points. Draw a density histogram of the test scores (in points) with 0–100 points as its one and only class.
The author surveyed some of the students in one of his statistics classes about the distances (in miles) they commute to college. Their responses are described by the histogram shown in Fig. 85.a. What variable is described by the histogram? Is it discrete or continuous? b. How many of the commute
The author surveyed some of the students in one of his statistics classes about the numbers of hours they work per week. Their responses are described by the histogram shown in Fig. 86.a. What variable is described by the histogram? Is it discrete or continuous? b. How many of the students work
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