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essentials of statistics
Essentials Of Statistics 5th Edition Mario F Triola - Solutions
With H1: p Assume that the significance level is α = 0.05; use the given statement and find the P-value and critical values. P-value = area to the left of the test statistic Left-tailed Left Start What type of test ? Two-tailed Is the test statistic to the right or left of center ? Right-tailed
With H1: p > 7/8, the test statistic is z = 2.88.Assume that the significance level is α = 0.05; use the given statement and find the P-value and critical values. P-value = area to the left of the test statistic Left-tailed Left Start What type of test ? Two-tailed Is the test statistic to the
We can test a claim about a population proportion using the P-value method of hypothesis testing or the critical value method of hypothesis testing, or we could base our conclusion on a confidence interval. Assuming that all three methods are based on the same significance level, which two of the
Confidence level is 95%, σ is known to be $4,385,000, and the dotplot of a sample of Red Sox baseball player salaries is as shown below.Assume that we want to construct a confidence interval. Do one of the following, as appropriate:(a) Find the critical value tα/2,(b) find the critical value
Confidence level is 90%, σ is not known, and the dotplot of IQ scores of 20 randomly selected statistics instructors is as shown below.Assume that we want to construct a confidence interval. Do one of the following, as appropriate:(a) Find the critical value tα/2,(b) find the critical value
Confidence level is 99%, σ is not known, and the dotplot of a sample of 40 values of professional baseball player salaries is as shown below.Assume that we want to construct a confidence interval. Do one of the following, as appropriate:(a) Find the critical value tα/2,(b) find the critical value
Confidence level is 99%, σ is known to be $4,385,000, and the dotplot of 40 sample values of professional baseball players is as shown in Exercise 7.Assume that we want to construct a confidence interval. Do one of the following, as appropriate:(a) Find the critical value tα/2,(b) find the
Find the indicated critical value.z0.025
Find the indicated critical value.z0.01
Find the indicated critical value.z0.05
Find the indicated critical value.z0.03
Find the probability of an IQ less than 85.
Mensa International calls itself “the international high IQ society,” and it has more than 100,000 members. Mensa states that “candidates for membership of Mensa must achieve a score at or above the 98th percentile on a standard test of intelligence (a score that is greater than that achieved
Find P80, the 80th percentile for the red blood cell counts of women.
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 of 4.577 and a standard deviation of 0.382.
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 deviation of 0.382.
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 of 150 executives have a mean of 140.0 executives and a standard deviation of 3.1 executives. Find
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 circuit board has no defects. Engineers need 24 integrated circuit boards for further testing. What is
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 University.
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. Find the following probabilities.a. The author made no calls on any of the 10 randomly selected days.b.
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 the correct answer of Pierce?
“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 probability that your answer is the correct answer of 4.8?
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 the result is far from what is typically expected.
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 the result is far from what is typically expected.
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 the result is far from what is typically expected.
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 from what is typically expected.Exactly 197 girls.
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 between 0 and 1.
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 Chapter Problem. Assume that one of the subjects included in Table 4-1 is randomly selected. Table
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 with the Chapter Problem. Assume that one of the subjects included in Table 4-1 is randomly selected.
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 struck by lightning this year. Is a golfer reasoning correctly if he or she is caught out in a
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) = 244/495. Describe the event A and find the value of P(A̅).
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. Consider “disjoint” to be equivalent to “separate” or “not overlapping.”
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 Disjoint. Determine whether the two events are disjoint for a single trial. Consider “disjoint” to
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 Whether Events Are Disjoint. Determine whether the two events are disjoint for a single trial.
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 Events Are Disjoint. Determine whether the two events are disjoint for a single trial. Consider
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 Are Disjoint. Determine whether the two events are disjoint for a single trial. Consider
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 Events Are Disjoint. Determine whether the two events are disjoint for a single trial. Consider
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 Disjoint. Determine whether the two events are disjoint for a single trial. Consider “disjoint”
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 different from “whatever” as the most annoying phrase in conversation?Finding Complements. Find the
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 student who does not take any college courses online?Finding Complements. Find the indicated
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 the data in the accompanying table, which lists the numbers of correct and wrong dosage amounts
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 describe what the notation P (D | R) represents.
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 Dependent Events.(a) determine whether events A and B are independent or dependent,(b) find P(A and B),
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 dependent,(b) find P(A and B), the probability that events A and B both occur.
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 and B), the probability that events A and B both occur.
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 events A and B are independent or dependent, (b) find P(A and B), the probability that events A
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 one of the 5 Indian pennies.Independent and Dependent Events.(a) determine whether events A and B
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 digit of a four-digit lottery number is chosen by someone buying a ticket, it is the same second digit
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 who is an Independent.Independent and Dependent Events.(a) determine whether events A and B are
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 also a yellow M&M.Independent and Dependent Events.(a) determine whether events A and B are
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 that this motorist did not make an obscene gesture in the previous month?b. If 50 of the surveyed
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 find the probability of the complement of the given event.
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, then find the probability 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) factorial rule; (3) permutations rule (when all items are different); (4) permutations rule (when
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 you get the Social Security number of the president?Express all probabilities as fractions
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 game?Express all probabilities as fractions
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 probabilities as fractions
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 of the ace of clubs and the ace of spades in any order.Express all probabilities as fractions
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 it practical to list all of the different possible routes in order to select the one that 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 bottom?Express all probabilities as fractions
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 the tournament, find the probability of picking the winner in every game.Express all probabilities as
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 letters are in the correct envelopes?Express all probabilities as fractions
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 U.S. Open tennis tournament to use the Hawk-Eye electronic instant replay system. Male Player Female
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 referee calls in the first U.S. Open tennis tournament to use the Hawk-Eye electronic instant
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 to referee calls in the first U.S. Open tennis tournament to use the Hawk-Eye electronic instant
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 to referee calls in the first U.S. Open tennis tournament to use the Hawk-Eye electronic instant
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 challenges to referee calls in the first U.S. Open tennis tournament to use the Hawk-Eye electronic
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? Differential Sentencing and the Functioning of the Criminal Courts,” by Brereton and Casper, Law and Society
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? Differential Sentencing and the Functioning of the Criminal Courts,” by Brereton and Casper, Law and
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 Guilty? Differential Sentencing and the Functioning of the Criminal Courts,” by Brereton and
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 digits that were later drawn in the same order. A common payoff was \($600\) for a winning \($1\)
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 randomly guess the order of the first three finishers in a race with 12 horses, what is the probability of
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 given procedure results in a binomial distribution or a distribution that can be treated as binomial.
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 recorded.Determine whether the given procedure results in a binomial distribution or a distribution that can be
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 based on data from the Greater New York Blood Program.
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 based on data from the Greater New York Blood Program.
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 (based on data from the Greater New York Blood Program).
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