Your roommate has asked you to buy toothpaste and dental rinse, but your roommate did not tell you which brands to get. The store has eight brands of toothpaste and five brands of dental rinse. What is the probability that you will purchase the correct brands of both products? Is this an unusual event? Explain.
> Use the normal curve to estimate the mean and standard deviation. 5 10 15 20 25
> A population and sample size are given. a. Find the mean and standard deviation of the population. b. List all samples (with replacement) of the given size from the population and find the mean of each. c. Find the mean and standard deviation of the s
> On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left. What is the longest braking distance of a sedan that can be in the
> On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left. What is the shortest braking distance of a sedan that can be in th
> On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left. What braking distance of a sedan represents the first quartile?
> On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left. What braking distance of a sedan represents the 90th percentile?
> On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left. Find the braking distance of a sedan that corresponds to z = 1.6.
> On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal distribution, as shown in the figure at the left. Find the braking distance of a sedan that corresponds to z = -2.75
> Find the positive z-score for which 94% of the distribution’s area lies between -z and z.
> Find the z-score that has 30.5% of the distribution’s area to its right.
> Determine whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. If it is not a binomial experiment, explain why. Bags of milk chocolate M&M
> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. P46
> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. P85
> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. P2
> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. 0.993
> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. 0.1
> Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. 0.4721
> Determine whether any of the events in Exercise 34 are unusual. Explain your reasoning.
> Determine whether any of the events in Exercise 33 are unusual. Explain your reasoning.
> Find the indicated probabilities. If convenient, use technology to find the probabilities. The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean of 9.1 picomoles per liter and a standard deviation of
> Find the indicated probabilities. If convenient, use technology to find the probabilities. Yearly amounts of black carbon emissions from cars in India are normally distributed, with a mean of 14.7 gigagrams per year and a standard deviation of 11.5 gigag
> Find the expected net gain to the player for one play of the game. A scratch-off lottery ticket costs $5. The table at the left shows the probability of winning various prizes on the ticket. Prize Probability 1 $100,000 100,000 1 $100 100 $50 50
> Determine whether the random variable x is discrete or continuous. Explain your reasoning. a. Let x represent the number of lightning strikes that occur in Wyoming during the month of June. b. Let x represent the amount of fuel (in gallons) used by a j
> A student’s test grade of 75 represents the 65th percentile of the grades. What percent of students scored higher than 75?
> Identify the population and the sample. Describe the sample data set. A study of 203 infants was conducted to find a link between fetal tobacco exposure and focused attention in infancy.
> Identify the population and the sample. Describe the sample data set. A survey of 1020 U.S. adults found that 42% trust their political leaders.
> Use the Venn diagram to identify the population and the sample. Incomes of Home Owners in Massachusetts Incomes of home owners in Massachusetts with mortgages Incomes of home owners in Massachusetts without mortgages
> Use the Venn diagram to identify the population and the sample. Ages of Adults in the United States Who Own Automobiles Ages of adults in the U.S. who own Honda automobiles Ages of adults in the U.S. who own automobiles made by a company other than H
> Use the Venn diagram to identify the population and the sample. Student Donations at a Food Drive Student donations of canned goods Student donations of other food items
> Use the Venn diagram to identify the population and the sample. Parties of Registered Voters Parties of registered voters who respond to a survey Parties of registered voters who do not respond to a survey
> Determine whether the data set is a population or a sample. Explain your reasoning. The air contamination levels at 20 locations near a factory
> 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
> Why is a sample used more often than a population?
> A study shows that the obesity rate among adolescents has steadily increased since 1988. From this study, a researcher infers that this trend will continue in future years. What is wrong with this type of reasoning?
> Determine whether the data set is a population or a sample. Explain your reasoning. The political party of every U.S. senator
> Use the relative frequency histogram to a. identify the class with the greatest, and the class with the least, relative frequency. b. approximate the greatest and least relative frequencies. c. describe any patterns with the data. Female Fibula Le
> Determine whether the data set is a population or a sample. Explain your reasoning. The age of every fourth person entering a grocery store
> Determine whether the data set is a population or a sample. Explain your reasoning. The final score of each gamer in a tournament
> Determine whether the data set is a population or a sample. Explain your reasoning. The number of wireless devices in each U.S. household
> Determine whether the data set is a population or a sample. Explain your reasoning. The triglyceride levels of 10 patients in a clinic with 50 patients
> Determine whether the data set is a population or a sample. Explain your reasoning. The annual revenue of each store in a shopping mall
> Identify the sample space of the probability experiment and determine the number of outcomes in the event. Draw a tree diagram when appropriate. Experiment: Choosing a month of the year Event: Choosing a month that begins with the letter J
> Find the probability. A card is randomly selected from a standard deck of 52 playing cards. Find the probability that the card is between 4 and 8, inclusive, or is a club.
> A sample of 6500 automobiles found that 1560 of the automobiles were black, 3120 of the automobiles were sedans, and 1170 of the automobiles were black sedans. Find the probability that a randomly chosen automobile from this sample is black or a sedan.
> The weights (in pounds) of the defensive players on a high school football team are shown below. Draw a box-and-whisker plot that represents the data set and describe the shape of the distribution. 173 145 205 192 197 227 156 240 172 208 185 190 167
> A random sample of 250 working adults found that 74% access the Internet at work, 88% access the Internet at home, and 72% access the Internet at both work and home. Find the probability that a person in this sample selected at random accesses the Intern
> Determine whether the events are mutually exclusive. Explain your reasoning. Event A: Randomly select a person who loves cats. Event B: Randomly select a person who owns a dog.
> Determine whether the events are mutually exclusive. Explain your reasoning. Event A: Randomly select a red jelly bean from a jar. Event B: Randomly select a yellow jelly bean from the same jar.
> Your sock drawer has 18 folded pairs of socks, with 8 pairs of white, 6 pairs of black, and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white
> Determine whether the data set is a population or a sample. Explain your reasoning. A survey of 300 people from an auditorium with 13,000 people
> Determine whether the events are independent or dependent. Explain your reasoning. Getting high grades and being awarded an academic scholarship
> Determine whether the events are independent or dependent. Explain your reasoning. Taking a driver’s education course and passing the driver’s license exam
> Determine whether the events are independent or dependent. Explain your reasoning. Selecting an ace from a standard deck of 52 playing cards, and then selecting a jack from the deck without replacing the ace.
> Identify the sample space of the probability experiment and determine the number of outcomes in the event. Draw a tree diagram when appropriate. Experiment: Rolling 2 six-sided dice Event: Getting a sum of 4 or 5
> Find the interquartile range of the data set from Exercise 13. From Exercise 13: 33.0 35.5 37.5 31.0 28.0 29.5 21.0 26.0 24.0 29.5
> Determine whether the events are independent or dependent. Explain your reasoning. Tossing a coin four times, getting four heads, and tossing it a fifth time and getting a head
> Use the table, which shows the numbers of students from American Bar Association approved law schools who took the Bar Examination for the first time in a recent year and the numbers of students who repeated the exam that year. Find the probability that
> Use the table, which shows the numbers of students from American Bar Association approved law schools who took the Bar Examination for the first time in a recent year and the numbers of students who repeated the exam that year. Find the probability that
> The telephone numbers for a region of Pennsylvania have an area code of 570. The next seven digits represent the local telephone numbers for that region. These cannot begin with a 0 or 1. Assume your cousin lives within the given area code. What is the p
> The telephone numbers for a region of Pennsylvania have an area code of 570. The next seven digits represent the local telephone numbers for that region. These cannot begin with a 0 or 1. Assume your cousin lives within the given area code. What is the p
> Use the table, which shows the numbers (in thousands) of bachelor’s degrees for a recent year. Find the probability that a randomly selected degree will not be in health professions or social sciences/history. Health Social Science
> Determine whether the data set is a population or a sample. Explain your reasoning. The amount of energy collected from every solar panel on a photovoltaic power plant
> Use the table, which shows the numbers (in thousands) of bachelor’s degrees for a recent year. Find the probability that a randomly selected degree will be in business or psychology. Health Social Sciences/ Degree Business Psycholo
> Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning. The chance that a randomly selected person in the United States is between 17 and 23 years old is about 9.5%.
> Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning. The probability of rolling 2 six-sided dice and getting a sum of 9 is 1/9.
> 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
