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essentials of statistics

Questions and Answers of Essentials Of Statistics

If 25 women are randomly selected, find the probability that the mean of their red blood cell counts is less than 4.444.Assume that red blood cell counts of women are normally distributed with a mean
What percentage of women have red blood cell counts in the normal range from 4.2 to 5.4?Assume that red blood cell counts of women are normally distributed with a mean of 4.577 and a standard
An Office Team survey of 150 executives found that 93.3% of them said that they would be concerned about gaps in a résumé of a job applicant. Based on these results, such randomly selected groups
A new integrated circuit board is being developed for use in computers. In the early stages of development, a lack of quality control results in a 0.2 probability that a manufactured integrated
If boys and girls are equally likely, groups of 400 births have a mean of 200 girls and a standard deviation of 10 girls. Is 232 girls in 400 births an unusually high number of girls?
If boys and girls are equally likely, groups of 400 births have a mean of 200 girls and a standard deviation of 10 girls. Is 185 girls in 400 births an unusually low number of girls?
If six people are randomly selected, find the probability that none of them has brown eyes.Assume that 40% of the population has brown eyes based on data from Dr. P. Sorita at Indiana University.
Find the probability that among six randomly selected people, exactly four of them have brown eyes.Assume that 40% of the population has brown eyes based on data from Dr. P. Sorita at Indiana
In the month preceding the creation of this exercise, the author made no phone calls on 19 of the 30 days in the month. Assume that 10 days from that month are randomly selected with replacement.
A denote the event of placing a $1 straight bet on the Florida Play 4 lottery and winning. The chance of event A occurring is 1 in 10,000. What is the value of P(A)? What is the value of P(A)?
Given that the following statement is incorrect, rewrite it correctly: “The probability of a baby being born a boy is 50–50.”
Which of the following values are not probabilities?5:2 3/7 7/3 -0.9 0.123 123/456 456/123 0 1
“Who was the 14th president of the United States: Taylor, Fillmore, Pierce, or Buchanan?” If you make a random guess for the answer to that question, what is the probability that your answer is
“Which of the following is the mean of the first 100 digits of pi after the decimal point: 4.4, 4.5, 4.6, 4.7, or 4.8?” If you make a random guess for the answer to that question, what is the
When rolling a single die, what is the probability that the outcome is 7?
Exactly 205 girls.Assume that 400 births are randomly selected. Use subjective judgment to determine whether the given outcome is unlikely, and also determine whether it is unusual in the sense that
Exactly 380 girls.Assume that 400 births are randomly selected. Use subjective judgment to determine whether the given outcome is unlikely, and also determine whether it is unusual in the sense that
Exactly 111 girls.Assume that 400 births are randomly selected. Use subjective judgment to determine whether the given outcome is unlikely, and also determine whether it is unusual in the sense that
Assume that 400 births are randomly selected. Use subjective judgment to determine whether the given outcome is unlikely, and also determine whether it is unusual in the sense that the result is far
When arriving at the traffic light closest to the author’s home, there is a 25% chance that the light will be red.Express the indicated degree of likelihood as a probability value between 0 and 1.
While this exercise was being created, Weather.com indicated that there is a 20% chance of rain for the author’s home region.Express the indicated degree of likelihood as a probability value
Based on a Harris poll, there is a 50−50 chance that a randomly selected adult has pierced ears.Express the indicated degree of likelihood as a probability value between 0 and 1.
When guessing the answer to a multiple-choice question on an SAT test, the chance of guessing correctly is 1 in 5.Express the indicated degree of likelihood as a probability value between 0 and 1.
When rolling a pair of dice at the Bellagio Casino in Las Vegas, there is 1 chance in 36 that the outcome is a 12.Express the indicated degree of likelihood as a probability value between 0 and 1.
It is impossible to pass a statistics test without studying.Express the indicated degree of likelihood as a probability value between 0 and 1.
Find the probability of selecting someone who uses drugs. Is the result close to the probability of 0.134 for a positive test result?Refer to the sample data in Table 4-1, which is included with the
Find the probability of selecting someone who does not use drugs. Is the result close to the probability of 0.866 for a negative test result?Refer to the sample data in Table 4-1, which is included
In a recent year, 304 of the approximately 300,000,000 people in the United States were struck by lightning. Estimate the probability that a randomly selected person in the United States will be
What is wrong with the expression P(A) + P(A̅) = 0.5?
A gambler plans to play the casino dice game called craps, and he plans to place a bet on the “pass line.” Let A be the event of winning. Based on the rules used in almost all casinos, P(A) =
One form of the rule of complements is this: P(A or A̅) = 1.Write a sentence describing the message that this rule represents.
Asking for a date through a Twitter post.Asking for a date in French, the romance language.Determining Whether Events Are Disjoint. Determine whether the two events are disjoint for a single trial.
Randomly selecting a survey respondent and getting someone who believes in UFOs.Randomly selecting a survey respondent and getting someone who believes in the devil.Determining Whether Events Are
Randomly selecting a statistics student and getting one who uses a TI calculator in class.Randomly selecting a statistics student and getting one who uses the STATDISK computer program.Determining
Randomly selecting a drug screening result and getting one that is a false negative.Randomly selecting a drug screening result and getting one from someone who is not a drug user.Determining Whether
Randomly selecting a drug screening result and getting one that is a false positive.Randomly selecting a drug screening result and getting one from someone who uses drugs.Determining Whether Events
Randomly selecting a drug screening result and getting one that is a false positive.Randomly selecting a drug screening result and getting one from someone who does not use drugs.Determining Whether
Randomly selecting a drug screening result and getting one that is a false positive.Randomly selecting a drug screening result and getting one that is a false negative.Determining Whether Events Are
A Marist poll survey showed that 47% of respondents chose “whatever” as the most annoying phrase used in conversation. What is the probability of randomly selecting someone choosing something
According to the National Association for College Admissions Counseling and USA Today, 19.8% of college students take at least one class online.What is the probability of randomly selecting a college
If one of the physicians is randomly selected, find the probability of getting one who made a correct dosage calculation or was given the bottle with a concentration label.Dosage Calculations. Use
Let R be the event of randomly selecting a senator and getting a Republican, and let D represent the event of randomly selecting a second different senator and getting a Democrat. Use words to
A: When a month is randomly selected and ripped from a calendar and destroyed, it is July.B: When a different month is randomly selected and ripped from a calendar, it is November.Independent and
A: When a baby is born, it is a girl.B: When a second baby is born into a different family, it is also a girl.Independent and Dependent Events.(a) determine whether events A and B are independent or
A: When a baby is born, it is a girl.B: When a single die is rolled, the outcome is 6.Independent and Dependent Events.(a) determine whether events A and B are independent or dependent, (b) find P(A
A: When a day of the week is randomly selected, it is a Saturday.B: When a second different day of the week is randomly selected, it is a Monday.Independent and Dependent Events.(a) determine whether
A: When one of the 222 coins listed in Data Set 21 is randomly selected, it is one of the 5 Indian pennies.B: When another one of the 222 coins listed in Data Set 21 is randomly selected, it is also
A: When the first digit (0 through 9) of a four-digit lottery number is chosen by someone buying a ticket, it is the same first digit that is later drawn in the official lottery.B: When the second
A: When a survey subject is randomly selected from the 100 senators in the 111th Congress, it is one of the 58 Democrats.B: When a second different senator is randomly selected, it is the one senator
A: When an M&M is randomly selected from the 100 M&Ms listed in Data Set 20, it is one of the 8 yellow M&Ms.B: When a second different M&M is randomly selected from those listed in Data Set 20, it is
In a Prince Market Research survey of 2518 motorists, 252 said that they made an obscene gesture in the previous month.a. If 1 of the surveyed motorists is randomly selected, what is the probability
What is a conditional probability?
Let event A = subject is telling the truth and event B = polygraph test indicates that the subject is lying. Use your own words to translate the notation P(B ∣ A) into a verbal statement.
When a couple has five children, all five are girls. Assume that boys and girls are equally likely.Describing Complements. Provide a written description of the complement of the given event, then
When a couple has five children, none of the five is a girl. Assume that boys and girls are equally likely.Describing Complements. Provide a written description of the complement of the given event,
Find the positive predictive value for the test. That is, find the probability that a subject uses drugs, given that the test yields a positive result.
The winning numbers for the current California Fantasy 5 lottery are 13, 18, 22, 24, and 32 in any order. Do calculations for winning this lottery involve permutations or combinations? Why?
When randomly selecting items, if successive selections are made with replacement of previously selected items, which of the five rules of this section apply: (1) fundamental counting rule; (2)
A Social Security number consists of nine digits in a particular order, and repetition of digits is allowed. If randomly selecting digits for one Social Security number, what is the probability that
If you know the names of the starting batters for a baseball team, what is the probability of randomly selecting a batting order and getting the order that is used in the beginning of the
There are seven books in the Harry Potter series. If the books are read in a randomly selected order, what is the probability that they are read in the order that they were written?Express all
In the game of blackjack played with one deck, a player is initially dealt 2 different cards from the 52 different cards in the deck. Find the probability of getting a 2-card initial hand consisting
A presidential candidate plans to begin her campaign by visiting the capitals in 4 of the 50 states. What is the probability that she selects the route of Sacramento, Albany, Juneau, and Hartford? Is
The author currently has seven different books in print. If those seven books are stacked in a random order, what is the probability that they are arranged in alphabetical order from top to
Repeat the preceding exercise using these letters: RAWHOR.Express all probabilities as fractions
Every four years, 32 soccer teams compete in a world tournament.a. How many games are required to get one championship team from the field of 32 teams?b. If you make random guesses for each game of
A secretary types 10 different letters and addresses 10 corresponding envelopes. If he is in a hurry and randomly inserts the letters into the envelopes, what is the probability that exactly 9 of the
A multiple-choice question on a statistics quiz has possible correct answers of a, b, c, d, e.What is the probability that “false” is the correct answer?
As the author is creating this exercise, a weather reporter stated that there are 3 chances in 10 of rain today. What is the probability of no rain today?
If a day of the week is randomly selected, what is the probability that it is a day containing the letter y?
Based on a Harris poll, 20% of adults smoke. If two adults are randomly selected, what is the probability that they both smoke?
If 1 of the 839 challenges is randomly selected, find the probability of getting a challenge that was rejected.Use the following results from the 839 player challenges to referee calls in the first
If 1 of the 839 challenges is randomly selected, find the probability of getting a challenge that was made by a male player or was rejected.Use the following results from the 839 player challenges to
Find the probability of randomly selecting 1 of the 839 challenges and getting a challenge that was accepted and was made by a female player.Use the following results from the 839 player challenges
Find the probability of randomly selecting 2 different challenges and finding that they were both accepted challenges made by female players.Use the following results from the 839 player challenges
Find the probability of randomly selecting 1 of the 839 challenges and getting a challenge that was accepted, given that it was made by a female player.Use the following results from the 839 player
Find the probability of being sentenced to prison, given that the subject entered a plea of guilty.Use the data in the accompanying table based on data from “Does It Pay to Plead Guilty?
Find the probability of being sentenced to prison, given that the subject entered a plea of not guilty.Use the data in the accompanying table based on data from “Does It Pay to Plead Guilty?
After comparing the results from Exercises 2 and 3, what do you conclude about the wisdom of entering a guilty plea?Use the data in the accompanying table based on data from “Does It Pay to Plead
Before the proliferation of legal lotteries, illegal numbers games were commonly run by members of organized crime groups. In the typical numbers game, bettors would win by selecting the same three
In horse racing, a trifecta is a bet that the first three finishers in a race are selected in the correct order. In a race with 12 horses, how many different trifecta bets are possible? If you
In an Idaho Potato Commission survey of 1000 adults, subjects are asked to select their favorite vegetables, and each response was recorded as “potatoes” or “other.”Determine whether the
In an Idaho Potato Commission survey of 1000 adults, subjects are asked to select their favorite vegetables, and responses of potatoes, corn, broccoli, tomatoes, or “other” were
If the number of blood donors is n = 8, find the probability that the number with Group O blood is x = 3.Assume that when blood donors are randomly selected, 45% of them have blood that is Group O
If the number of blood donors is n = 16, find the probability that the number with Group O blood is x = 6.Assume that when blood donors are randomly selected, 45% of them have blood that is Group O
If the number of blood donors is n = 20, find the probability that the number with Group O blood is x = 16.Assume that when blood donors are randomly selected, 45% of them have blood that is Group O
If the number of blood donors is n = 11, find the probability that the number with Group O blood is x = 9.Assume that when blood donors are randomly selected, 45% of them have blood that is Group O
Use the magnitudes (Richter scale) of the earthquakes listed in Data Set 16 in Appendix B. In 1989, the San Francisco Bay Area was struck with an earthquake that measured 7.0 on the Richter scale.
Carbon monoxide is measured in San Francisco on five different days, and the mean of those five values is 0.62 parts per million. Four of the values (in parts per million) are 0.3, 0.4, 1.1, and 0.7.
The geometric mean is often used in business and economics for finding average rates of change, average rates of growth, or average ratios. Given n values (all of which are positive), the geometric
Which do you think has less variation: the IQ scores of students in your statistics class or the IQ scores of a simple random sample taken from the general population? Why?
James Madison, the fourth President of the United States, was 163 cm tall. His height converts to the z score of -2.28 when included among the heights of all presidents. Is his height above or below
Measures of Location The values of P50, Q2, and the median are found for the net incomes reported on all individual 1040 tax forms filed last year. What do those values have in common?
Based on data from Data Set 17 in Appendix B, the words spoken in a day by women have a mean of 16,215 words and a standard deviation of 7301 words. Consider the women with an unusual word count in a
The following are the duration times (minutes) of all missions flown by the space shuttle Challenger.1 7224 8709 8784 10,060 10,089 10,125 11,445 11,476 11,844Use the given data to construct a
The following are the interval times (minutes) between eruptions of the Old Faithful geyser in Yellowstone National Park based on data from the U.S. National Park Service.81 81 86 87 89 92 93 94 95
The following are amounts of time (minutes) spent on hygiene and grooming in the morning by survey respondents based on data from an SCA survey.4 6 7 9 14 15 15 16 18 18 25 26 30 32 41 45 55 63Use
The following are speeds (mi/h) of cars measured with a radar gun on the New Jersey Turnpike based on data from Statlib and authors Joseph Kadane and John Lamberth.70 70 71 72 72 73 73 74 76 77 78 78
Find the mean of these times that American Airlines flights used to taxi to the Los Angeles terminal after landing from a flight: 12 min, 8 min, 21 min, 17 min, 12 min. Data are from Data Set 15 in
The taxi-in times for 48 flights that landed in Los Angeles have a mean of 11.4 min and a standard deviation of 7.0 min. What is the z score for a taxi-in time of 6 min?

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