Question: You can find many testimonials on the

> According to the ancient Roman architect Vitruvius, a person’s arm span (the distance from fingertip to fingertip with the arms stretched wide) is approximately equal to his or her height. For example, people 5 feet tall tend to have an arm span of 5 fee

> A group of 80 drivers in a large city is asked for the number of parking tickets they received in the previous month. What shape do you think this distribution will have? Explain.

> An instructor asks a class of 120 students how many hours they slept during the previous night. What shape do you think this distribution will have? Explain.

> The weights of coins (in grams) were obtained for coins in the United States and coins for other countries (including Mexico, Brazil, Canada, and several in Europe). a. Write a few sentences to compare the distributions of weights of coins from the Unite

> The following dotplots show the number of calories in a sample of cereals from two manufacturers: “G” = General Mills and “K” = Kelloggs. (Source: StatCrunch) a. Write a few short se

> The bar graph shows information reported in Time magazine (May 28, 2012). For each country, the percentage of music sold over the Internet and the percentage of people with access to the Internet are displayed. a. Which two countries have the largest per

> The use of the drug Prempro, a combination of two female hormones that many women take after menopause, is called hormone replacement therapy (HRT). In July 2002, a medical article reported the results of a study that was done to determine the effects of

> The following table shows the first few entries for the majors of a sample of college students. The data are stacked and coded, where 0 represents a female student and 1 represents a male student. What would be appropriate graphs to compare the distribut

> The following table shows the first few entries for the number of hours of sleep in one night for a sample of college students. The data are stacked and coded, where 0 represents a male student and 1 represents a female student. What would be appropriate

> A physician asks all of his patients to report the approximate number of cigarettes they smoke in a day. Predict the shape of the distribution of number of cigarettes smoked per day.

> A study was conducted to assess whether 5 weeks of training with virtual reality (VR) can reduce the risk of falls in adults. Thirty-four older adults underwent 15 VR training sessions consisting of walking on a treadmill with a VR simulation. At the end

> Predict the shape of the distribution of the salaries of 25 chief executive officers (CEOs). A typical value is about 50 million per year, but there is an outlier at about 200 million.

> The graph shows shoe sizes for men and women. Compare shapes, centers, and spreads, and mention if there are outliers.

> The graphs show the distribution of self-reported maximum speeds ever driven by male and female college students who drive. Compare the shapes, the centers, and the spreads and mention any outliers.

> Thirty-nine students (26 women and 13 men) reported their ideal weight (in most cases, not their current weight). The table shows the data. a. Explain why the distribution of ideal weights is likely to be bimodal if men and women are both included in th

> College students Jeannette Mujica, Ricardo Ceja Zarate, and Jessica Cerda conducted a survey in Oxnard, California, of the number of cars going through a yellow light at intersections with and without traffic cameras that are used to automatically fine d

> Create a dotplot that has at least 10 observations and does not have skew.

> Create a dotplot that has at least 10 observations and is right-skewed.

> People were asked whether they thought stem cell research was morally acceptable. The graph shows the results of two surveys, one done in 2002 and one done on 2017. What does the graph tell us about changes in opinions about stem cell research? Explain.

> People were asked whether they favored nuclear energy in 2010 and in 2016. The data were sorted by political affiliation and are shown in the following bar graph. a. How have opinions on nuclear energy changed from 2010 to 2016? (Source: Gallup.com) b. W

> Accredited law schools were ranked from 1 for the best (Harvard) down to number 181 by the Internet Legal Research Group. When you decide on a law school to attend, one of the things you might be interested in is whether, after graduation, you will be ab

> Some studies have indicated that neuro feedback may be an effective treatment for ADHD. Read excerpts from the research published in The Lancet Psychiatry and answer the questions that follow. (Source: Schönenberg et al., “Neuro feedback, sham neuro feed

> The histograms show the average global temperature per year for two 26-year ranges in degrees Fahrenheit. The range for 1880 to 1905 is on the top, and the range for 1980 to 2005 is on the bottom. Compare the two histograms for the two periods, and expla

> A group of students held their breath as long as possible and recorded the times in seconds. The times went from a low of 25 seconds to a high of 90 seconds, as you can see in the stemplot. Suggest improvements to the following histogram generated by Exc

> The following bar chart shows a comparison of breast cancer rates for those who took HRT and those who took a placebo. Explain why the graph is deceptive, and indicate what could be done to make it less so.

> For each situation, describe the type of statistical graph that could be made to answer the statistical question posted: a. We have the systolic blood pressures by gender of a large number of elderly people. Our statistical question is, “Do these elderly

> For each situation, describe the type of statistical graph that could be made to answer the statistical question posted. a. We have the systolic blood pressures by gender of a large number of elderly people. Our statistical question is, “What percentage

> The Pew Research Center gathered data in 2018 on American social media use by gender. The bar graph shows the percentage of Internet users who use these social media platforms. a. Of these three social media sites, which is most frequently used by men? B

> The Pew Research Center documents the variety of ways in which Americans use social media. The bar chart shows the frequency of use for three social media sites among adult social media users. a. Which site is used most regularly by social media users? E

> The graph shows the rates of visits to the emergency room (ER) for injuries by gender and by age. Note that we are concerned with the rate per 100 people of that age and gender in the population. (Source: National Safety Council 2004) a. Why does the Nat

> One of the authors wanted to determine the effect of changing answers on multiple-choice tests. She had advised her students that if they had changed their minds about a previous answer, they should replace their first choice with their new choice. By lo

> Patients with Alzheimer’s disease are randomly divided into two groups. One group is given a new drug, and the other is given a placebo. After six months they are given a memory test to see whether the new drug fights Alzheimer’s better than a placebo.

> Can mindful yoga have a beneficial impact on alcohol use in high-risk adolescents? Read excerpts from the research published in The Journal of Child and Family Studies and answer the questions that follow. (Source: Fishbein et al., “Behavioral and psycho

> A researcher is interested in the effect of music on memory. She randomly divides a group of students into three groups: those who will listen to quiet music, those who will listen to loud music, and those who will not listen to music. After the appropri

> Patients with multiple sclerosis are randomly assigned a new drug or a placebo and are then given a test of coordination after six months.

> Patients with high blood pressure are asked to keep food diaries recording all items they eat for a one-week period. Researchers analyze the food diary data for trends.

> The September 2017 issue of Alzheimer’s and Dementia reported on a study that found an association between drinking sugary drinks and lower brain volume. Is this likely to be a conclusion from observational studies or randomized experiments? Can we concl

> The Harvard Heart Letter reported on a study that examined the diets of 1226 older women over 15 years. They discovered that the more vegetables the women consumed, the lower their risk of dying of cardiovascular disease. From this study can we conclude

> A study was conducted to see whether participants would ignore a sign that said, “Elevator may stick between floors. Use the stairs.” The study was done at a university dorm on the ground floor of a three-level building. Those who used the stairs were sa

> An article in the journal BMC Medicine reported on a study designed to study the effect of diet on depression. Subjects suffering from moderate to severe depression were randomly assigned to one of two groups: a diet intervention group and a social suppo

> An article by Wakefield et al. in the British medical journal Lancet claimed that autism was caused by the measles, mumps, and rubella (MMR) vaccine. This vaccine is typically given to children twice, at about the age of 1 and again at about 4 years of a

> Cartilage is a smooth, rubber-like padding that protects the long bones in the body at the joints. A study by Lu et. al. in Arthritis Care & Research found that women who drank one glass of milk daily had 32% thicker, healthier cartilage than women who d

> An article in the Journal of the Academy of Nutrition and Dietetics reported on a study of diet in subjects with moderate to severe acne. Read the excerpts from the abstract and answer the questions that follow. (Source: Burris et al., “Differences in di

> People who have had strokes are often put on “blood thinners” such as aspirin or Coumadin to help prevent a second stroke. Describe the design of a controlled experiment to determine whether aspirin or Coumadin works better in preventing second strokes.

> The New England Journal of Medicine reported on a study of fish oil consumption in pregnant mothers and the subsequent development of asthma in their children. Read the excerpts from the abstract and answer the questions that follow: (Source: Bisgaard et

> A study reported by Griffin et al. compared the rate of pneumonia between 1997 and 1999 before pneumonia vaccine (PCV7) was introduced and between 2007 and 2009 after pneumonia vaccine was introduced. Read the excerpts from the abstract, and answer the q

> In a 2017 study designed to investigate the effects of exercise on second language learning, 40 subjects were randomly assigned to one of two conditions: an experimental group that engaged in simultaneous physical activity while learning vocabulary in a

> A doctor who believes strongly that antidepressants work better than “talk therapy” tests depressed patients by treating half of them with antidepressants and the other half with talk therapy. After six months the patients are evaluated on a scale of 1 t

> A group of educators want to determine how effective tutoring is in raising students’ grades in a math class, so they arrange free tutoring for those who want it. Then they compare final exam grades for the group that took advantage of the tutoring and t

> The blog NHS Choices ( February 10, 2014) noted that “there has been increasing anecdotal evidence that vitamin C may still be useful as an anticancer medicine if used in high concentrations and given directly into the vein (intravenously).” Explain what

> A local public school encourages, but does not require, students to wear uniforms. The principal of the school compares the grade point averages (GPAs) of students at this school who wear uniforms with the GPAs of those who do not wear uniforms to deter

> A group of boys is randomly divided into two groups. One group watches violent cartoons for one hour, and the other group watches cartoons without violence for one hour. The boys are then observed to see how many violent actions they take in the next two

> a. A statistics class is made up of 15 men and 23 women. What percentage of the class is male? b. A different class has 234 students, and 64.1% of them are men. How many men are in the class? c. A different class is made up of 40% women and has 20 women

> Describe the design of a controlled experiment to determine whether the use of vitamin D supplements reduces the chance of broken bones in women with osteoporosis (weak bones). Assume you have 200 women with osteoporosis to work with. Your description sh

> A survey was done of men’s and women’s hands to see if the ring finger appeared longer than the index finger or not. Yes means the ring finger is longer, and No means the ring finger appears shorter or the same length

> A survey was done of men’s and women’s hands to see if the ring finger appeared longer than the index finger or not. Yes means the ring finger is longer, and No means the ring finger appears shorter or the same length

> In 2015, the National Highway Traffic Safety Administration reported the number of pedestrian fatalities in San Francisco County was 24 and that the number in Los Angeles County was 209. Can we conclude that pedestrians are safer in San Francisco than in

> Two sections of statistics are offered, the first at 8 a.m. and the second at 10 a.m. The 8 a.m. section has 25 women, and the 10 a.m. section has 15 women. A student claims this is evidence that women prefer earlier statistics classes than men do. What

> The marriage and divorce rates are given per 1000 people in various years. Find the divorce rate as a percentage of the marriage rate and comment on the trend over time. (Source: https://www.cdc.gov/nchs)

> A recent study found that highly experienced teachers may be associated with higher student achievement. Suppose fourth-grade students at an elementary school are randomly assigned to one of eight teachers. Teachers Nagle, Crouse, Warren, Tejada, and Tra

> A medical practice group consists of seven doctors, four women and three men. The women are Drs. Town, Wu, Hein, and Lee. The men are Drs. Marland, Penner, and Holmes. Sup-pose new patients are randomly assigned to one of the doctors in the group. a. Lis

> A bag of candy contains 3 red candies and 7 brown candies. A friend says the probability of reaching the bag without looking and pulling out a red candy is 30% because 3 out of 10 candies are red. Is this an example of an empirical probability or a theor

> A student flips a coin 10 times and sees that it landed on tails 4 times. Based on this, the student says that the probability of getting a tail is 40%. Is the student referring to an empirical probability or a theoretical probability? Explain.

> The projected U.S. population is given for different decades. The projected number of people 65 years of age or older is also given. Find the percentage of people 65 or over and comment on the trend over time. Numbers are in millions of people (Source: 2

> A person was trying to figure out the probability of getting two heads when flipping two coins. He flipped two coins 10 times, and in 2 of these 10 times, both coins landed heads. On the basis of this outcome, he claims that the probability of two heads

> A Monopoly player claims that the probability of getting a 4 when rolling a six-sided die is 1/6 because the die is equally likely to land on any of the six sides. Is this an example of an empirical probability or a theoretical probability? Explain.

> Suppose you are carrying out a randomized experiment to test if there is a difference in the amount of information remembered between students who take notes using a computer versus those who take notes by hand using pen and paper. You have 20 college st

> If we flip a coin 10 times, what percentage of the time will the coin land on heads? A first step to answering this question is to simulate 10 flips. Use the random number table in Appendix A to simulate flipping a coin 10 times. Let the digits 0, 1,

> A 2018 Marist poll found that interest in baseball has been declining recently in the United States. A random sample of U.S. adults were asked how much baseball they intended to watch this season. The results are shown in the following table. a. What pe

> In 2016 the Pew Research Center asked a sample of American adults which of the following they had done in the previous 12 months: read a book in any format, read a print book, read an e-book, and listened to an audio book. The percent-ages of who had eng

> In 2017 the Pew Research Center asked young adults aged 18 to 29 about their media habits. When asked, “What is the primary way you watch television?” 61% said online streaming service, 31% said cable/satellite subscription, and 5% said digital antenna.

> In California, about 92% of teens who take the written driver’s exam fail the first time they take it (www.teendrivingcourse.com). Suppose that Sam and Maria are randomly selected teenagers taking the test for the first time. a. What is the probability t

> Suppose all the days of the week are equally likely as birthdays. Alicia and David are two randomly selected, unrelated people. a. What is the probability that they were both born on Monday? b. What is the probability that Alicia OR David was born on Mon

> A 2016 Pew Research poll reported that 80% of Americans shop online. Assume the percentage is accurate. a. If two Americans are randomly selected, what is the probability that both shop online? b. If the two Americans selected are a married couple, expla

> The accompanying table gives the number of cable television subscribers (in millions) and the number of households with televisions (in millions) in the United States. Find the percentage of TV owners with cable subscriptions for each year and comment on

> A 2016 Pew Research poll reported that 27% of young adults aged 18 to 24 had used an online dating site. Assume the percentage is accurate. a. If two young adults are randomly selected, what is the probability that both have used an online dating site? b

> A 2017 Pew Research poll asked people if they agreed with this statement: The United States hasn’t gone far enough when it comes to giving women equal rights with men. 42% of men agreed with the statement and 57% of women agreed with the statement. Suppo

> According to a Pew Research poll conducted in 2016, 55% of men and 43% of women support the death penalty in cases of murder. Suppose these are accurate percentages. Now suppose a random man and a random woman meet. a. What is the probability that both s

> Use your general knowledge to label the following pairs of variables as independent or associated. Explain. a. The outcome on flips of two separate, fair coins. b. Breed of dog and weight of dog for dogs at a dog show.

> Use your general knowledge to label the following pairs of variables as independent or associated. Explain. a. For a sample of adults, gender and shoe size b. For a sample of football teams, win/loss record for the coin toss at the beginning of the game

> According to a Gallup poll conducted in 2017, 723 out of 1018 Americans surveyed said they believed global warming is occurring. If an American is selected at random, what is the probability that the person believes that global warming is occurring?

> According to a Gallup poll conducted in 2016, 627 out of 1012 Americans surveyed said they were dissatisfied with the country’s current gun laws. If an American is selected at random, what is the probability that the person is dissatisfied with the curre

> a. Explain how you could use a random number table to simulate rolling a fair six-sided die 20 times. Assume you wish to find the probability of rolling a 1. Then report a line or two of the random number table (or numbers generated by a computer or calc

> a. Explain how you could use a random number table (or the random numbers generated by software or a calculator) to simulate rolling a fair four-sided die 20 times. Assume you are interested in the probability of rolling a 1. Then report a line or two of

> Some estimates say that 10% of the population is left-handed. We wish to design a simulation to find an empirical probability that if five babies are born on a single day, one or more will be left-handed. Suppose we decide that the even digits (0, 2, 4,

> The accompanying table gives the population (in hundred thousands) and number of people not covered by health insurance (in hundred thousands) for the United States. Find the percentage of people not covered by health insurance for each of the given year

> A jury is supposed to represent the population. We wish to perform a simulation to determine an empirical probability that a jury of 12 people has 5 or fewer women. Assume that about 50% of the population is female, so the probability that a person who i

> The graph shows the average when a six-sided die is rolled repeatedly. For example, if the first two rolls resulted in a 6 and a 2, the average would be 4. If the next trial resulted in a 1, the new average would be (6 + 2 + 1)/3 = 3. Explain how the gra

> If you flip a fair coin repeatedly and the first four results are tails, are you more likely to get heads on the next flip, more likely to get tails again, or equally likely to get heads or tails?

> Consider two pairs of grandparents. The first pair has 4 grandchildren, and the second pair has 32 grand-children. Which of the two pairs is more likely to have between 40% and 60% boys as grandchildren, assuming that boys and girls are equally likely as

> Betty and Jane are gambling. They are cutting cards (picking a random place in the deck to see a card). Whoever has the higher card wins the bet. If the cards have the same value (for example, they are both eights), they try again. Betty and Jane do this

> Refer to the following figure. a. After a large number of flips, the overall proportion of heads “settles down” to nearly what value? b. Approximately how many coin flips does it take before the proportion of heads set

> Imagine flipping a fair coin many times. Explain what should happen to the proportion of heads as the number of coin flips increases.

> The table shows the results of rolling a fair six-sided die. Using the table, find the empirical probability of rolling a 1 for 20, 100, and 1000 trials. Report the theoretical probability of rolling a 1 with a fair six-sided die. Compare the empirical

> Refer to Histograms A, B, and C, which show the relative frequencies from experiments in which a fair six-sided die was rolled. One histogram shows the results for 20 rolls, one the results for 100 rolls, and another the results for 10,000 rolls. Which h

> a. Explain how you could use digits from a random number table to simulate rolling a fair six-sided die. b. Carry out your simulation beginning with line 3 of the random number table in Appendix A. Repeat your simulation 5 times. c. Use your simulation t

> The accompanying table gives the 2018 population and area (in square kilometers) of five U.S. cities. See page 39 for guidance. (Source: www.citymayors.com). a. Determine and report the ranking of the population density (people per square kilometer) by

> a. Use the line of random numbers below to simulate flipping a coin 20 times. Use the digits 0, 1, 2, 3, 4 to represent heads and the digits 5, 6, 7, 8, 9 to represent tails. 11164 … 36318 … 75061 … 37674 b. Based on these 20 trials, what is the simulate

> A true/false test has 20 questions. Each question has two choices (true or false), and only one choice is correct. Which of the following methods is a valid simulation of a student who guesses randomly on each question. Explain. (Note: there might be mor

> A multiple-choice test has 30 questions. Each question has three choices, but only one choice is correct. Using a random number table, which of the following methods is a valid simulation of a student who circles his or her choices randomly? Explain. (No