Statistics And Probability With Applications 3rd Edition Daren S. Starnes, Josh Tabor - Solutions

Unlock the full potential of your learning experience with the "Statistics And Probability With Applications 3rd Edition" by Daren S. Starnes and Josh Tabor. Our platform offers an extensive collection of online solutions, including an answers key and a comprehensive solution manual available in PDF format. Dive into solved problems with step-by-step answers that cater to your textbook needs. Whether you’re looking for a test bank, chapter solutions, or an instructor manual, find everything you need to succeed. Access questions and answers with ease and enjoy the benefit of a free download to enhance your statistical understanding.

Which procedure? (Chapters 7-10) In each of the following settings, state which inference procedure from Chapters 7-10 you would use. For example, you might say“two-sample z test for the difference between two proportions.” You do not have to carry out any procedures.
Shower time (1.8, 5.7, 6.5) Marcella takes a shower every morning when she gets up. Her time in the shower varies according to a normal distribution with mean 4.5 minutes and standard deviation 0.9 minute.
Don’t cry In Exercise 13 , you used the slope to perform a test about the relationship between x = cry count and y= IQ at age 3 for toddlers. It is also possible to classify the values for each variable into categories and use a chisquare test for association. The two-way table summarizes these
More mass, more metabolism? Refer to Exercise Explain how the interval from part (c) is consistent with your conclusion in part (b).
Oh, snap! Refer to Exercise 13 . Explain how the interval from part (c) is consistent with your conclusion in part (b).
Mass and metabolism We have data on the lean body mass and resting metabolic rate for a random sample of 12 women who are subjects in a study of dieting. Lean body mass, given in kilograms (kg), is a person’s weight leaving out all fat. Metabolic rate is measured in calories burned per 24 hours
Oh, that smarts! Infants who cry easily may be more easily stimulated than others. This may be a sign of higher IQ. Using a random sample of 38 infants, childdevelopment researchers explored the relationship between the crying of infants 4 to 10 days old and their IQ test scores at age 3. A snap of
Still waiting? Refer to Exercise 8 . Calculate and interpret a 95% confidence interval for the slope of the true least-squares regression line relating y = mean number of calories consumed to x = mean time at the lunch table for toddlers.
Drive for dough? Refer to Exercise 7 . Calculate and interpret a 95% confidence interval for the slope of the true least-squares regression line relating y = mean score to x = mean driving distance (yards) for PGA golfers.
Literacy and population growth Refer to Exercise 6 .Calculate and interpret a 95% confidence interval for the slope of the true least-squares regression line relating y =birth rate (births per 1000 population) to x = female literacy rate (% of women 15 years or older) for all countries?
Hot heartbeats Refer to Exercise 5 . Calculate and interpret a 95% confidence interval for the slope of the true least-squares regression line relating y = resting pulse rate (in beats per minute) to x = body temperature(in degrees Fahrenheit) for students at Mr. Jordan’s school.
Waiting to eat? Is there an association between the length of time a toddler sits at the lunch table and the number of calories consumed? We collected data on a random sample of 20 toddlers observed over several months.
Drive for show? In golf, does greater distance off the tee translate to better (lower) scores? We collected data on mean drive distance (in yards) and mean score per round from a random sample of 19 players on the Professional Golfers Association (PGA) Tour in a recent year. The scatterplot shows
Literacy and birth rates The table shows x = female literacy rate (for women 15 years of age or older) and y =birth rate (births per 1000 population) for 20 randomly selected countries.Do these data provide convincing evidence that countries with greater female literacy rates have smaller birth
Heartbeats Do people with higher resting pulses have higher body temperatures? Mr. Jordan collected data from a random sample of 20 students at his school on x = body temperature (in degrees Fahrenheit) and y = pulse rate(in beats per minute). The data are given in the tableDo these data provide
Hungry fish? Does a larger concentration of fish attract more predators? One study looked at kelp perch and their common predator, the kelp bass. The researcher set up four large circular pens on sandy ocean bottoms off the coast of southern California. He chose young perch at random from a large
Turn up the volume? Nicole and Elena wanted to know if listening to music at a louder volume hurts test performance. To investigate, they recruited 30 volunteers and randomly assigned 10 to listen to music at 30 decibels, 10 to listen to music at 60 decibels, and 10 to listen to music at 90
Assume the conditions for inference are met.Flying from Philly Is there a positive association between air fare and distance traveled? The table gives the distance (in miles) from Philadelphia to a random sample of 6 cities and the cost (in dollars) of the cheapest flight to that city on a popular
Tipping at a buffet Do customers who stay longer at buffets give larger tips? Charlotte, a statistics student who worked at an Asian buffet, decided to investigate this question for a project. While she was doing her job as a hostess, she obtained a random sample of receipts, which included the
Professional tennis player Novak Djokovic hits the ball extremely hard. His first-serve speeds follow a normal distribution with mean 112 miles per hour (mph) and standard deviation 6 mph.Choose one of Djokovic’s first serves at random. Let Y = its speed, measured in miles per hour.
An airline claims that its 7:00 A.M. New York to Los Angeles flight has an 85% chance of arriving on time on a randomly selected day. Assume for now that this claim is true. Suppose we take a random sample of 20 of these flights. Let X = the number of flights that arrive on time.
Let Y denote the number of broken eggs in a randomly selected carton of one dozen “store brand” eggs at a local supermarket.Suppose that the probability distribution of Y is as follows.
If the heights of a population of men follow a normal distribution, and 99.7% have heights between 5 feet 0 inches and 7 feet 0 inches, what is your estimate of the standard deviation of the heights in this population?
In the game Pass the Pigs, a small plastic pig is rolled, and its orientation when it comes to a stop determines the number of points a player scores. Approximately 9% of rolls produce a“trotter”—that is, the pig lands right side up, standing on its four feet. Suppose you roll a pig 10 times.
For the normal distribution shown, the standard deviation is closest to
The standard deviation of X is 0.9. Which of the following is the best interpretation of this value?
What is the probability that a randomly chosen subject completes more than the expected number of puzzles in the 5-minute period while listening to soothing music?
The figure shows the density curve that is the probability distribution of a continuous random variable. Seven values are marked on the density curve. Which of the following statements is true?
A private school has 25 students in each of grades 1 through 12.The principal randomly selects 1 student from each grade and records whether or not the student is over 5 feet tall. Let X = the number of students in the sample who are over 5 feet tall. Which of the following requirements for a
A hat holds a large number of slips of paper, each with a single digit from 1 to 4 on it. Which one of the following is a possible probability distribution for X = the number on a randomly selected slip of paper?
Which of the following is closest to the 28th percentile in the standard normal distribution?(a) −0.58 (b) −0.50 (c) 0.39 (d) 0.61
An ecologist studying starfish populations records values for each of the following variables from randomly selected plots on a rocky coastline.(a) Two continuous, two discrete (b) One continuous, three discrete Two continuous, one discrete, and one that is not a random variable (c)One continuous,
Buying stock (4.6, 5.2) You purchase a hot stock for $1000. The stock either gains 30% or loses 25% each day, each with probability 0.5. Its returns on consecutive days are independent of each other. You plan to sell the stock after 2 days. (a) What are the possible values of the stock after 2
Weed be gone (3.5, 3.6) A biologist would like to determine which of two brands of weed killer, X or Y, is less likely to harm the plants in a garden at the university. Before spraying near the plants, the biologist decides to conduct an experiment using 24 individual plants. The biologist chooses
A weird density curve The figure shows the density curve that describes the probability distribution of a random variable X.
Another normal curve Estimate the mean and standard deviation of the normal density curve in the figure.
A normal curve Estimate the mean and standard deviation of the normal density curve in the figure.
Preheat before baking The time X it takes a certain oven to preheat to 350ºF is equally likely to be any value from 7 to 12 minutes.
Set the alarm Old-fashioned mechanical alarm clocks were not all that accurate. Suppose that the alarm on one such clock is equally likely to go off at any time from 2 minutes before to 2 minutes after the alarm’s setting. Let the random variable X = the amount of time (in minutes)from when the
Cholesterol levels High levels of cholesterol in the blood increase the risk of heart disease. Cholesterol levels for 14-year-old boys (in milligrams per deciliter) can be modeled by the normal distribution shown here. The mean and the points that are 1, 2, and 3 standard deviations from the mean
Rafa serves! Tennis superstar Rafael Nadal’s firstserve speeds (in miles per hour) in a recent season can be modeled by the normal distribution shown here. The mean and the points that are 1, 2, and 3 standard deviations from the mean are labeled on the horizontal axis. Identify the mean and the
Men’s heights The distribution of heights of adult American men is approximately normal, with mean μ = 69 inches and standard deviation σ = 2.5 inches. Sketch this probability distribution. Label the mean and the points that are 1, 2, and 3 standard deviations from the mean.
Nine ounces of chips? The distribution of weights of 9-ounce bags of a particular brand of potato chips is approximately normal, with mean μ = 9.12 ounces and standard deviation σ = 0.05 ounce. Sketch this probability distribution. Label the mean and the points that are 1, 2, and 3 standard
Bell-shaped mean and median The probability distribution of a continuous random variable is shown here. Identify the location of the mean and median by letter. Justify your answers.
Bimodal mean and median The probability distribution of a continuous random variable is shown here. Identify the location of the mean and median by letter. Justify your answers.
Which is the median? The probability distribution of a continuous random variable is shown here. Identify the location of the mean and median by letter. Justify your answers.
Which is the mean? The probability distribution of a continuous random variable is shown here. Identify the location of the mean and median by letter. Justify your answers.
Class is over! Mr. Wilder does not always let his statistics class out when the bell rings. In fact, he seems to end class according to his own “internal clock.” The random variable D describes the amount of time after the bell rings (in minutes) when Mr. Wilder dismisses the class on a
Quick, click! An Internet reaction time test asks subjects to click their mouse button as soon as a light flashes on the screen. The light is programmed to go on at a randomly selected time T from 2 to 5 seconds after the subject clicks “Start.” The density curve here shows the probability
Where’s the bus? Jayden takes the same bus to work every morning. The amount of time Y (in minutes) that he has to wait for the bus to arrive on a randomly selected workday morning is described by the uniform density curve that follows.
Biking accidents Accidents on a level, 3-mile bike path occur uniformly along the length of the path. Let Y represent the distance from the start of the bike path at which a randomly selected accident occurs. The figure displays the density curve that describes the probability distribution of Y.
Butter side down (4.1) Researchers at Manchester Metropolitan University in England determined experimentally that if a piece of toast is dropped from a 2.5-foot-high table, the probability that it lands butter side down is 0.81
Snappy dressers (3.8, 3.9) Matt and Diego suspect that people are more likely to agree to participate in a survey if the interviewers are dressed up. To test this, they went to the local grocery store on two consecutive Saturday mornings at 10 A . M . On the first Saturday, they wore casual
Mutually exclusive versus independent The twoway table summarizes data on the gender and eye color of students in a college statistics class. Imagine choosing a student from the class at random. Define event A: student is male and event B: student has blue eyes ?
Broken links Internet sites often vanish or move, so that references to them can’t be followed. In fact, 13% of Internet sites referred to in major scientific journals are lost within two years of publication. Suppose we randomly select 7 Internet references from scientific journals.
Fire or medical? Many fire stations handle more emergency calls for medical help than for fires. At one fire station, 81% of incoming calls are for medical help.Suppose we choose 4 incoming calls to the station at random.
By land or by cell? According to the National Center for Health Statistics, in December 2012, 60% of U.S.households had a traditional landline telephone, 89% of households had cell phones, and 51% had both.Suppose we randomly selected a household in December 2012. Are the events A: had a landline
Independent news In a large apartment complex, 40% of residents read USA Today, 25% read the New York Times, and 5% read both papers. Suppose we select a resident of the apartment complex at random. Are the events A: reads USA Today and B: reads New York Times independent?Justify your answer.
Late shows Some TV shows begin after their scheduled times when earlier programs run late. According to a network’s records, about 3% of its shows start late. To find the probability that 3 consecutive shows on this network start on time, can we multiply (0.97)(0.97)(0.97)?Why or why not?
Late to the gate? An airline reports that 85% of its flights arrive on time. To find the probability that its next 4 flights into LaGuardia Airport all arrive on time, can we multiply (0.85)(0.85)(0.85)(0.85)? Why or why not?
Is the package late? A shipping company claims that 90% of its shipments arrive on time. Suppose this claim is true. If we take a random sample of 20 shipments made by the company, what’s the probability that at least 1 of them arrives late?
On a roll Suppose that you roll a fair, six-sided die 10 times. What’s the probability that you get at least one 6?
Playing with Canadians If you buy 1 ticket in Canada’s Lotto 6/49 lottery game, the probability that you will win a prize is 0.15. Given the nature of lotteries, the probability of winning is independent from month to month. If you buy 1 ticket each month for five months, what is the probability
O-Negative People with type O-negative blood are universal donors. Any patient can receive a transfusion of O-negative blood. Only 7.2% of the American population has O-negative blood. If we choose 10 Americans at random, what is the probability that at least 1 of them is a universal donor?
Making a reservation An airline estimates that the probability a randomly selected call to its reservation phone line results in a reservation being made is 0.31.Find the probability that none of 4 randomly selected calls to the phone line results in a reservation ?
Liar, liar! From experience, we know that a certain lie detector will show a positive reading (indicating a lie) 10%of the time when a person is telling the truth. Suppose that a random sample of 5 suspects is subjected to a lie detector test. Find the probability of observing no positive readings
Pitching a perfect game In baseball, a perfect game is when a pitcher doesn’t allow any hitters to reach base in all 9 innings. Historically, pitchers throw a perfect inning—an inning where no hitters reach base—about 40% of the time. So to throw a perfect game, a pitcher must have 9 perfect
Merry and bright? A string of Christmas lights contains 20 lights. The lights are wired in series, so that if any light fails, the whole string will go dark. Each light has probability 0.98 of working for a 3-year period. The lights fail independently of each other. Find the probability that the
AARP and Medicare (3.5) To find out what proportion of Americans support proposed Medicare legislation to help pay medical costs, the AARP conducted a survey of their members (people over age 50 who pay membership dues).One of the questions was: “Even if this plan won’t affect you personally
Wake up and work! (1.3, 3.9) Mr. Brown has two statistics classes, one that meets at 8:00 A.M and one that meets at 10:00 A.M He wonders if student performance differs in the two classes. Here are the scores earned by the students in both classes on a recent quiz.
Extra security? The Transportation Security Administration (TSA) is responsible for airport safety. On some flights, TSA officers randomly select passengers for an extra security check before boarding. One such flight had 76 passengers—12 in first class and 64 in coach class.Some passengers were
All vowels? In the game of Scrabble, the first player draws 7 tiles at random from a bag containing 100 tiles.There are 42 vowels, 56 consonants, and 2 blank tiles in the bag. Cait draws first and is surprised to discover that all 7 tiles are vowels. Should she be surprised? Design and carry out a
Brushing teeth, wasting water? A recent study reported that fewer than half of young adults turn off the water while brushing their teeth. Is the same true for teenagers? To find out, a group of statistics students asked an SRS of 60 students at their school if they usually brush with the water
Do most teens recycle? A statistics class asked an SRS of 100 students at their school whether they regularly recycle or not. In the sample, 55 students said that they recycle. Is this convincing evidence that more than half of the students at the school would say they regularly recycle? The
Keep on tossing The figure shows the results of two different sets of 5000 coin tosses. Explain what this graph tells you about chance behavior in the short run and the long run.
Virtual three pointers The figure shows the results of a virtual basketball player shooting many 3-point shots.Explain what this graph tells you about chance behavior in the short run and long run.
Double fault! A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the player’s claim is true? Assume that the player has a 0.90 probability of getting each second serve in.
Streaky shooting A basketball announcer suggests that a certain player is streaky. That is, the announcer believes that if the player makes a shot, the player is more likely to make the next shot. As evidence, the announcer points to a recent game where the player took 30 shots and had a streak of
Whose book is this? Suppose that 4 friends get together to study at Leigh’s house for their next statistics test.When they go for a snack in the kitchen, Leigh’s 3-year-old brother makes a tower using their textbooks.Unfortunately, none of the students has written his or her name in the books,
Color-blindness in men A randomly selected U.S. adult male has probability about 0.07 of having some form of red–green color blindness. Suppose we choose 4 U.S.adult males at random. What’s the probability that at least one of them is red–green color-blind? Design and carry out a simulation
No dice Imagine rolling a die 12 times and recording the result of each roll. Which of the following outcomes is more likely: 1 2 3 4 5 6 6 5 4 3 2 1 or 1 5 4 5 2 4 3 3 6 1 2 6? Justify your answer.
Heads up Imagine tossing a coin 6 times and recording heads (H) or tails (T) on each toss. Which of the following outcomes is more likely: HTHTTH or TTTHHH? Justify your answer.
Predicting a hit A very good professional baseball player gets a hit about 35% of the time over an entire season.After the player failed to hit safely in six straight at-bats, a TV commentator said, “He is due for a hit by the law of averages.” Explain why the commentator is wrong.
Take the umbrella? A local weather forecast says that there is a 20% chance of rain tomorrow. Explain what this probability means.
Red light! Pedro drives the same route to work on Monday through Friday. His route includes one traffic light. According to the local traffic department, there is a 55% chance that the light will be red. Explain what this probability means.
The coffee majority According to The Book of Odds, the probability that a randomly selected U.S. adult drinks coffee on a given day is 0.56.
Genetic testing Suppose a married man and woman both carry a gene for cystic fibrosis but don’t have the disease themselves. According to the laws of genetics, the probability that any child they have will develop cystic fibrosis is 0.25.
A drop in crime? (3.6) An article in the New York Times Magazine on Manhattan District Attorney Cyrus Vance, Jr.cites a substantial decrease in crime during Vance’s tenure. But the author cautions, “It’s hard to know how much one person or policy can affect the crime rate, and consequently
Mercury concentration in tuna (1.5, 1.7, 1.8) What is the typical mercury concentration in cans of tuna sold in stores? A study conducted by Defenders of Wildlife set out to answer this question. Defenders collected a sample of 164 cans of tuna from stores across the United States.They sent the
Randomized response When asked sensitive questions, many people give untruthful responses—especially if the survey is not anonymous. To encourage honest answers, researchers developed the “randomized response”method. For example, ask students if they have cheated on an exam this year. Before
from outside the institution. Most boards are larger, but many contain just 1 outsider.Anonymous or confidential? One of the most important nongovernment surveys in the United States is the National Opinion Research Center’s General Social Survey. The GSS regularly monitors public opinion on a
Who can review? Government regulations require that institutional review boards consist of at least 5 people, including at least 1 scientist, 1 nonscientist, and 1 person from outside the institution. Most boards are larger, but many contain just 1 outsider.
Feeling upbeat? Are people who report being cheerful and happy less likely to get sick than people who report being sad and angry? Yes, according to a study where researchers exposed 193 healthy volunteers aged 21–55 to a cold virus and recorded who got sick. Cheerful people also had milder
Ah nuts! Can eating nuts during pregnancy help children avoid nut allergies? Researchers studied over 8000 children who were born in the early 1990s to mothers who were part of the Nurses’ Health Study II. Children whose mothers ate the most nuts during pregnancy (at least 5 times per week) were
Religious behavior A social psychologist attends public meetings of a religious group to study the behavior patterns of members. Should this study require informed consent? Explain your reasoning. Would your answer change if the social psychologist pretends to be converted and attends private
Monitoring tax returns A government agency takes a random sample of income tax returns to obtain information on the average income of people in different occupations. Only the incomes and occupations are recorded from the returns, not the names. Should this study require informed consent? Explain
Facebook emotions In cooperation with researchers from Cornell University, Facebook randomly selected almost 700,000 users for an experiment in “emotional contagion.” Users’ news feeds were manipulated (without their knowledge) to selectively show postings from their friends that were either
Unethical hepatitis studies In the 1960s, children entering the Willowbrook State School, an institution for the intellectually disabled on Staten Island in New York, were deliberately infected with hepatitis. The researchers argued that almost all children in the institution quickly became
Are women chattier than men? According to Louann Brizendine, author of The Female Brain, women say nearly 3 times as many words per day as men. Skeptical researchers devised a study to test this claim. They used electronic devices to record the talking patterns of 396 university students who
Berry good Eating blueberries and strawberries might improve heart health, according to a longterm study of 93,600 women who volunteered to take part. These berries are high in anthocyanins due to their pigment.Women who reported consuming the most anthocyanins had a significantly smaller risk of

Showing 1 - 100 of 2398

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Last

Statistics And Probability With Applications 3rd Edition Daren S. Starnes, Josh Tabor - Solutions

Step by Step Answers