The mean sale per customer for 40 customers at a gas station is $32.00, with a standard deviation of $4.00. Using Chebychev’s Theorem, determine at least how many of the customers spent between $24.00 and $40.00.
> Use the data set, which represents the model 2017 vehicles with the highest fuel economies (in miles per gallon) in the most popular classes. About how many vehicles fall on or below the third quartile? 35 35 112 34 124 35 107 46 136 56 58 119 50 41
> Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning. The probability that a person can roll his or her tongue is 70%.
> Identify the sample space of the probability experiment and determine the number of outcomes in the event. Draw a tree diagram when appropriate. Experiment: Tossing four coins Event: Getting three heads
> Which part of the survey described in Exercise 3 represents the descriptive branch of statistics? Make an inference based on the results of the survey. From Exercise 3: A survey of 2223 U.S. adults found that 62% would encourage a child to pursue a care
> Determine whether the number describes a population parameter or a sample statistic. Explain your reasoning. Thirty percent of a sample of 521 U.S. workers say that they worry about having their benefits reduced.
> Determine whether the number describes a population parameter or a sample statistic. Explain your reasoning. In a study of math majors at a university, 10 students minored in physics.
> Determine whether the number describes a population parameter or a sample statistic. Explain your reasoning. In a survey of 1000 likely U.S. voters, 29% trust media fact-checking of candidates’ comments.
> Determine whether the number describes a population parameter or a sample statistic. Explain your reasoning. In 2016, the National Science Foundation announced $22.7 million in infrastructure-strengthening investments.
> Determine whether the data set is a population or a sample. Explain your reasoning. The salary of each member of a Major League Baseball team
> Identify the population and the sample. Describe the sample data set. A survey of 1601 U.S. children and adults ages 16 years and older found that 48% have visited a public library or a bookmobile over a recent span of 12 months.
> Identify the population and the sample. Describe the sample data set. A survey of 2223 U.S. adults found that 62% would encourage a child to pursue a career as a video game developer or designer.
> Use the data set, which represents the model 2017 vehicles with the highest fuel economies (in miles per gallon) in the most popular classes. Draw a box-and-whisker plot that represents the data set. 35 35 112 34 124 35 107 46 136 56 58 119 50 41 25
> You want to know the favorite spring break destination among 15,000 students at a university. Determine whether you would take a census or use a sampling. If you would use a sampling, determine which sampling technique you would use. Explain your reasoni
> Identify the sampling technique used, and discuss potential sources of bias (if any). Explain. A journalist interviews 154 people waiting at an airport baggage claim and asks them how safe they feel during air travel.
> Identify the sampling technique used, and discuss potential sources of bias (if any). Explain. Twenty-five students are randomly selected from each grade level at a high school and surveyed about their study habits.
> Identify the sampling technique used, and discuss potential sources of bias (if any). Explain. Law enforcement officials stop and check the driver of every third vehicle for blood alcohol content.
> Identify the sampling technique used, and discuss potential sources of bias (if any). Explain. A study in a town in northwest Ethiopia designed to determine prevalence and predictors of depression among pregnant women randomly selects four districts of t
> Identify the sampling technique used, and discuss potential sources of bias (if any). Explain. A student asks 18 friends to participate in a psychology experiment.
> Identify the sampling technique used, and discuss potential sources of bias (if any). Explain. Using random digit dialing, researchers ask 1201 U.S. adults whether enough is being done to fight opioid addiction.
> Two hundred students volunteer for an experiment to test the effects of sleep deprivation on memory recall. The students will be placed in one of five different treatment groups, including the control group. Explain how you could design an experiment so
> Match the plot with the description of the sample. a. Times (in minutes) it takes a sample of employees to drive to work b. Grade point averages of a sample of students with finance majors c. Top speeds (in miles per hour) of a sample of high-performa
> Two hundred students volunteer for an experiment to test the effects of sleep deprivation on memory recall. The students will be placed in one of five different treatment groups, including the control group. Explain how you could design an experiment so
> Use the data set, which represents the model 2017 vehicles with the highest fuel economies (in miles per gallon) in the most popular classes. Find the interquartile range of the data set. 35 35 112 34 124 35 107 46 136 56 58 119 50 41 25 25 22 16 16
> Determine whether the study is an observational study or an experiment. Explain. Researchers conduct a study to determine the effect of coffee consumption on the development of multiple sclerosis. To perform the study, researchers asked 4408 adults in Sw
> Identify the population and the sample. Describe the sample data set. Eighty-three doctors working in the St. Louis area were surveyed concerning their opinions of health care reform.
> Determine whether the study is an observational study or an experiment. Explain. Researchers conduct a study to determine whether a drug used to treat hypertension in patients with obstructive sleep apnea works better when taken in the morning or in the
> Determine the level of measurement of the data set. Explain. The total compensations (in millions of dollars) of the ten highest-paid CEOs at U.S. public companies are listed. 94.6 56.4 54.1 53.2 53.2 51.6 47.5 43.5 39.2 37.0
> Determine the level of measurement of the data set. Explain. The four departments of a printing company are listed. Administration Sales Production Billing
> Determine the level of measurement of the data set. Explain. The vehicle size classes for a sample of sedans are listed. Minicompact Subcompact Compact Mid-size Large
> Determine the level of measurement of the data set. Explain. The daily high temperatures (in degrees Fahrenheit) for Sacramento, California, for a week in September are listed. 90 80 76 84 91 94 97
> Determine whether the data are qualitative or quantitative. Explain your reasoning. The marital statuses of all engineers at an electric utility
> Determine whether the data are qualitative or quantitative. Explain your reasoning. The revenues of the companies on the Fortune 500 list
> A study shows the closer that participants were to an optimal sleep duration target, the better they performed on a standardized test. a. Identify the sample used in the study. b. What is the population? c. Which part of the study represents the descri
> Use the data set, which represents the model 2017 vehicles with the highest fuel economies (in miles per gallon) in the most popular classes. Find the five-number summary of the data set. 35 35 112 34 124 35 107 46 136 56 58 119 50 41 25 25 22 16 16
> Use the frequency polygon to identify the class with the greatest, and the class with the least, frequency. Commuting Distances for 70 Students, Ages 18–24 20 15 10 1 2 3 4 56 7 8 9 10 Distance (miles) Frequency
> Determine whether the data are qualitative or quantitative. Explain your reasoning. The zip codes of a sample of 200 customers at a sporting goods store
> Determine whether the data are qualitative or quantitative. Explain your reasoning. The ages of a sample of 350 employees of a software company
> Which part of the survey described in Exercise 4 represents the descriptive branch of statistics? Make an inference based on the results of the survey. From Exercise 4: A survey of 1601 U.S. children and adults ages 16 years and older found that 48% hav
> Identify the population and the sample. Describe the sample data set. A survey of 4787 U.S. adults found that 15% use ride-hailing applications.
> The towing capacities (in pounds) of all the pickup trucks at a dealership have a bell-shaped distribution, with a mean of 11,830 pounds and a standard deviation of 2370 pounds. Use the corresponding z-score to determine whether the towing capacity is un
> The towing capacities (in pounds) of all the pickup trucks at a dealership have a bell-shaped distribution, with a mean of 11,830 pounds and a standard deviation of 2370 pounds. Use the corresponding z-score to determine whether the towing capacity is un
> The towing capacities (in pounds) of all the pickup trucks at a dealership have a bell-shaped distribution, with a mean of 11,830 pounds and a standard deviation of 2370 pounds. Use the corresponding z-score to determine whether the towing capacity is un
> The towing capacities (in pounds) of all the pickup trucks at a dealership have a bell-shaped distribution, with a mean of 11,830 pounds and a standard deviation of 2370 pounds. Use the corresponding z-score to determine whether the towing capacity is un
> As of December 2016, there were 721 adult contemporary radio stations in the United States. One station finds that 115 stations have a larger daily audience than it has. What percentile does this station come closest to in the daily audience rankings?
> Find the coefficient of variation for each of the two data sets. Then compare the results. The ages and years of experience for all lawyers at a firm are listed. 66 54 47 61 36 59 50 33 Ages Years of experience 37 20 23 32 14 29 22 8
> From a random sample of airplanes, the numbers of defects found in their fuselages are listed. Find the sample mean and the sample standard deviation of the data. 0 1 2 3 4 5 6 Number of airplanes 4 5 2 9 1 3 1 Number of defects
> From a random sample of households, the numbers of televisions are listed. Find the sample mean and the sample standard deviation of the data. Number of televisions 0 1 2 Number of households 1 8 13 10 5 3 3 4 5
> Use the data set listed and technology to create frequency histograms with 5, 10, and 20 classes. Which graph displays the data best? Explain. 3 15 8 4 9 10 13 9 5 6 4 2 9 15 14 2 7 3 2 11 7 7 11 10 1 2 12
> The mean duration of the 135 space shuttle flights was about 9.9 days, and the standard deviation was about 3.8 days. Using Chebychev’s Theorem, determine at least how many of the flights lasted between 2.3 days and 17.5 days.
> Use the Empirical Rule. The mean charge for satellite television for a sample of households was $87.50 per month, with a standard deviation of $14.50 per month. Estimate the percent of satellite television charges between $73.00 and $102.00. (Assume the
> Use the Empirical Rule. The mean charge for electricity for a sample of households was $110.00 per month, with a standard deviation of $17.50 per month. Between what two values do 95% of the data lie? (Assume the data set has a bell-shaped distribution.)
> Find the range, mean, variance, and standard deviation of the sample data set. Salaries (in dollars) of a random sample of teachers 62,222 56,719 50,259 45,120 47,692 45,985 53,489 71,534
> Find the range, mean, variance, and standard deviation of the sample data set. Dormitory room charges (in dollars) for one school year for a random sample of four-year universities 5816 6045 5612 6341 6106 7361 6320 6265 7220 7439 5395 6908 5561 5710
> Find the range, mean, variance, and standard deviation of the population data set. The ages of the Supreme Court justices as of December 22, 2016 61 80 68 83 78 66 62 56
> Find the range, mean, variance, and standard deviation of the population data set. The mileages (in thousands of miles) for a rental car company’s fleet. 4 2 9 12 15 3 6 8 1 4 14 12 3 3
> For the histogram in Exercise 22, which is greater, the mean or the median? Explain your reasoning. From Exercise 22: 12 10 8 6- 4- 2- 2 6 10 14 18 22 26 30 34
> For the histogram in Exercise 21, which is greater, the mean or the median? Explain your reasoning. From Exercise 21: 12 10 8 4 2 2 6 10 14 18 22 26 30 34
> The admissions department for a college is asked to recommend the minimum SAT scores that the college will accept for full-time students. Here are the SAT scores of 50 applicants. a. Construct a relative frequency histogram for the data. Use 10 classes.
> Determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of these. 12 10 8 6- 4- 2- 2 6 10 14 18 22 26 30 34
> Determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of these. 12 10 8 4 2 2 6 10 14 18 22 26 30 34
> Describe the shape of the distribution for the histogram you made in Exercise 4 as symmetric, uniform, skewed left, skewed right, or none of these.
> Describe the shape of the distribution for the histogram you made in Exercise 3 as symmetric, uniform, skewed left, skewed right, or none of these.
> The frequency distribution shows the numbers of magazine subscriptions per household for a sample of 60 households. Find the mean number of subscriptions per household. Number of magazines 0 1 2 3 4 5 6. Frequency 13 9 19 8 5 2 4
> Estimate the mean of the frequency distribution you made in Exercise 1.
> For the four test scores 96, 85, 91, and 86, the first 3 test scores are 20% of the final grade, and the last test score is 40% of the final grade. Find the weighted mean of the test scores.
> For the six test scores 78, 72, 86, 91, 87, and 80, the first 5 test scores are 15% of the final grade and the last test score is 25% of the final grade. Find the weighted mean of the test scores.
> Find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why. The responses of 1019 adults who were asked how much money they think they will spend on Christmas
> Find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why. The vertical jumps (in inches) of a sample of 10 college basketball players at the 2016 NBA Draft
> You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You do not want to put in too much (which would cause security concerns) or too little (which may create customer irritation). Here are the daily withdrawals (in
> The U.S. real unemployment rates over a 12-year period are listed. Use a time series chart to display the data. Describe any patterns. Year 2005 2006 2007 2008 2009 2010 Rate 9.3% 8.4% 8.4% 9.2% 14.2% 16.7% Year 2011 2012 2013 2014 2015 2016 Rate 16
> The heights (in feet) and the numbers of stories of the ten tallest buildings in New York City are listed. Use a scatter plot to display the data. Describe any patterns. Height (in feet) 1776 1398 1250 1200 1079 1046 1046 1005 975 952 Stories 104 96
> Use the data set, which represents the results of a survey that asked U.S. full-time university and college students about their activities and time use on an average weekday. Use a Pareto chart to display the data set. Describe any patterns. Leisur
> Use the data set, which represents the results of a survey that asked U.S. full-time university and college students about their activities and time use on an average weekday. Use a pie chart to display the data set. Describe any patterns. Leisure E
> Use the data set, which represents the pollution indices for 24 U.S. cities. Use a dot plot to display the data set. Describe any patterns. 22 41 46 50 38 57 65 49 33 28 53 32 23 38 65 28 36 63 54 39 43 56 39 41
> Use the data set, which represents the pollution indices for 24 U.S. cities. Use a stem-and-leaf plot to display the data set. Describe any patterns. 22 41 46 50 38 57 65 49 33 28 53 32 23 38 65 28 36 63 54 39 43 56 39 41
> Use the data set, which represents the numbers of rooms reserved during one night’s business at a sample of hotels. Construct an ogive for the data set using six classes. 153 104 118 166 84 89 104 100 96 108 111 79 93 87 126 101 11
> Use the data set, which represents the numbers of rooms reserved during one night’s business at a sample of hotels. Construct a frequency distribution for the data set with six classes and draw a frequency polygon. 153 104 118 166
> Use the data set shown in the table at the left, which represents the actual liquid volumes (in ounces) in 25 twelve-ounce cans. Construct a relative frequency histogram for the data set using seven classes. Volumes (in ounces) 11.95 11.91 11.86 11.9
> Use the data set shown in the table at the left, which represents the actual liquid volumes (in ounces) in 25 twelve-ounce cans. Construct a frequency histogram for the data set using seven classes. Volumes (in ounces) 11.95 11.91 11.86 11.94 12.00 1
> Use the data set and the indicated number of classes to construct a. an expanded frequency distribution, b. a frequency histogram, c. a frequency polygon, d. a relative frequency histogram, and e. an ogive. Ho
> Use the data set, which represents the overall average class sizes for 20 national universities. Construct a relative frequency histogram using the frequency distribution in Exercise 1. Then determine which class has the greatest relative frequency and
> Use the data set, which represents the overall average class sizes for 20 national universities. Construct a frequency distribution for the data set using five classes. Include class limits, midpoints, boundaries, frequencies, relative frequencies, and
> In Exercise 6, find the probability of the vending company receiving a. no defective units. b. all defective units. c. at least one good unit.
> A shipment of 250 netbooks contains 3 defective units. Determine how many ways a vending company can buy three of these units and receive a. no defective units. b. all defective units. c. at least one good unit.
> From a pool of 30 candidates, the offices of president, vice president, secretary, and treasurer will be filled. In how many different ways can the offices be filled?
> Determine whether the events are mutually exclusive. Then determine whether the events are independent or dependent. Explain your reasoning. Event A: A bowler having the highest game in a 40-game tournament Event B: Losing the bowling tournament
> Which event(s) in Exercise 2 can be considered unusual? Explain. From Exercise 2: The table shows the numbers (in thousands) of earned degrees by level in two different fields, conferred in the United States in a recent year. A person who earned a degr
> The table shows the numbers (in thousands) of earned degrees by level in two different fields, conferred in the United States in a recent year. A person who earned a degree in the year is randomly selected. Find the probability of selecting someone who
> The access code for a warehouse’s security system consists of six digits. The first digit cannot be 0 and the last digit must be even. How many access codes are possible?
> Identify the sampling technique used in each study. Explain your reasoning. a. A journalist asks people at a campground about air pollution. b. For quality assurance, every tenth machine part is selected from an assembly line and measured for accuracy.
> Use technology to create a. a stem-and-leaf plot, b. a dot plot, c. a pie chart, d. a frequency histogram, and e. an ogive for the data. Which graph displays the data best? Explain. 64 46 40 55 70 31 47 44 55 63 49 49 26 72 64 55 44
> An experiment is performed to test the effects of a new drug on high blood pressure. The experimenter identifies 320 people ages 35–50 years old with high blood pressure for participation in the experiment. The subjects are divided into equal groups acco
> Determine whether the study is an observational study or an experiment. Explain. a. Researchers conduct a study to determine whether body mass index (BMI) influences mortality. To conduct the study, researchers obtained the BMIs of 3,951,455 people. b.
> Determine the level of measurement of the data set. Explain your reasoning. a. A list of badge numbers of police officers at a precinct b. The horsepowers of racing car engines c. The top 10 grossing films released in a year d. The years of birth for
> Determine whether the data are qualitative or quantitative. Explain. a. A list of debit card personal identification numbers b. The final scores on a video game
> Determine whether each number describes a population parameter or a sample statistic. Explain your reasoning. a. A survey of 1000 U.S. adults found that 52% think that the introduction of driverless cars will make roads less safe. b. At a college, 90%
> A study of the dietary habits of 359,264 Korean adolescents was conducted to find a link between dietary habits and school performance. Identify the population and the sample in the study.
> Which technique used in Exercise 7 could lead to a biased study? Explain.
> The numbers of regular season wins for each Major League Baseball team in 2016 are listed. Display the data using a box-and-whisker plot. 九的 四万
> Refer to the sample statistics from Exercise 5 and determine whether any of the house prices below are unusual. Explain your reasoning. a. $225,000 b. $80,000 c. $200,000 d. $147,000 From Exercise 5: The mean price of new homes from a sample