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mathematics
statistics

Questions and Answers of Statistics

Listed below are amounts (in millions of dollars) collected from parking meters by Brinks and others in New York City during similar time periods. A larger data set was used to convict five Brinks
Listed below are contributions (in dollars) made to the two presidential candidates in the most recent election. All contributions are from the same Zip code as the author, and the data are from the
Waiting times (in minutes) of customers at the Jefferson Valley Bank (where all customers enter a single waiting line) and the Bank of Providence (where customers wait in individual lines at three
Use the magnitudes (Richter scale) of the earthquakes listed in Data Set 16 in Appendix B.
Refer to Data Set 15 in Appendix B and use the times required to taxi out for takeoff.
Refer to Data Set 12 in Appendix B and use the numbers of years that U.S. presidents have lived after their first inauguration.
Refer to Data Set 6 in Appendix B and use the listed IQ scores.
Exercise 25Earthquakes Use the magnitudes (Richter scale) of the earthquakes listed in Data Set 16 in Appendix B.
Exercise 26Flight Data Refer to Data Set 15 in Appendix B and use the times required to taxi out for takeoff.
Exercise 27Presidential Longevity Refer to Data Set 12 in Appendix B and use the numbers of years that U.S. presidents have lived after their first inauguration.
Exercise 28IQ Scores Refer to Data Set 6 in Appendix B and use the listed IQ scores.
Based on Data Set1 in Appendix B, female havepulse rates with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. Is it unusual for a female to have a pulse rate of 99
Based on Data Set 1 in Appendix B, males have pulse rates with a mean of 67.3 beats per minute and a standard deviation of 10.3 beats per minute. Is it unusual for a male to have a pulse rate of 45
Based on Data Set 19 in Appendix B, cans of regular Coke have vol¬umes with a mean of 12.19 oz and a standard deviation of 0.11 oz. Is it unusual for a can to contain 11.9 oz of Coke? Explain.
Based on Data Set 19 in Appendix B, cans of regular Pepsi have weights with a mean of 0.82410 lb and a standard deviation of 0.00570 lb. Is it unusual for a can to contain 0.8133 lb of Pepsi? Explain.
Find the standard deviation of sample data summarized in a frequency distribution table by using the formula below, where x represents the class midpoint, f represents the class frequency, and n
Find the standard deviation of sample data summarized in a frequency distribution table by using the formula below, where x represents the class midpoint, f represents the class frequency, and n
Find the standard deviation of sample data summarized in a frequency distribution table by using the formula below, where x represents the class midpoint, f represents the class frequency, and n
Based on Data Set 1 in Appendix B, blood platelet counts of women have a bell-shaped distribution with a mean of 280 and a standard deviation of 65. (All units are 1000 cells//xL.) Using
Based on Data Set 3 in Appendix B, body temperatures of healthy adults have a bell-shaped distribution with a mean of 98.20°F and a standard devia¬tion of 0.62°F. Using Chebyshev’s theorem, what
Let a population consist of the values 2 min, 3 min, 8 min. (These are departure delay times taken from American Airlines flights from New York’s JFK airport to Los Angeles. See Data Set 15 in
Use the same population of {2 min, 3 min, 8 min} from Exercise 45. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not
If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: —2.00, —1.00, 0, 1.00, 2.00? Why?
Shown below is a STATDISK-generated boxplot of the amounts of money (in millions of dollars) that movies grossed (based on data from the Motion Picture Association of America). What do the displayed
As of this writing, Barack Obama is President of the United States and he has a net worth of $3,670,505. The 17 members of the Executive Branch have a mean net worth of $4,939,455 with a standard
Data Set 16 in Appendix B lists 50 magnitudes (Richter scale) of 50 earth¬quakes, and those earthquakes have magnitudes with a mean of 1.184 with a standard devia¬tion of 0.587. The strongest of
When Steve Jobs was Chicf Executive Officer (CEO) of Apple, he earned an annual salary of $1. The CEOs of the 50 largest U. S. companies had a mean salary of $1,449,779 and a standard deviation of
A male student of the author has a measured pulse rate of 52 beats per minute. Based on Data Set 1 in Appendix B, males have a mean pulse rate of 67.3 beats per minute and a standard deviation of
The Wechsler Adult Intelligence Scale measures IQ scores with a test designed so that the mean is 100 and the standard deviation is 15. Consider the group of IQ scores that are unusual. What are the
In the process of designing aircraft seats, it was found that men have hip breadths with a mean of 36.6 cm and a standard deviation of 2.5 in. (based on anthropometric survey data from Gordon,
The Southern California Earthquake Data Center recorded magnitudes (Richter scale) of 10,594 earthquakes in a recent year. The mean is 1.240 and the standard deviation is 0.578. Consider the
As of this writing, the tallest living man is Sultan Kosen, who has a height of 247 cm. The tallest living woman is De-Fen Yao, who is 236 cm tall. Heights of men have a mean of 175 cm and a standard
Sandra Bullock was the last woman to win an Oscar for Best Actress and Jeff Bridges was the last man to win for Best Actor. At the time of the awards ceremony, Sandra Bullock was 45 years of age and
Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Scores on the ACT test have a mean of 21.1 and a standard deviation of 4.8. Which is relatively better: a score of 1490 on
Based on Data Set 1 in Appendix B, males have red blood cell counts with a mean of 5.072 and a standard deviation of 0.395, while females have red blood cell counts with a mean of 4.577 and a
When finding percentiles using Figure 3-5, if the locator L is not a whole number, we round it up to the next larger whole number. An alternative to this procedure is to interpolate. For example,
When designing an eye-recognition security device, engineers must consider the eye heights of standing women. (It’s easy for men to bend lower, but it’s more difficult for women to rise higher.)
Using the sample data given below find the z score corresponding to the eye height of 1642 mm. Is that eye height unusual? Why or why not?1550 1642 1538 1497 1571
Using the same standing heights listed in Exercise 1, construct a box plot and include the values of the 5-number summary. Does the box plot indicate that the data are from a population with a normal
The body mass indices (BMI) of a sample of males have a mean of 26.601 and a standard deviation of 5.359. The body mass indices of a sample of females have a mean of 28.441 and a standard deviation
Use the range rule of thumb to estimate the standard deviation of ages of all teachers at your college.
Engineers designing overhead bin storage in an aircraft must consider the sitting heights of male passengers. Sitting heights of adult males have a mean of 914 mm and a standard deviation of 36 mm
Use the hand lengths in Exercise 1 to construct a frequency distribution. Use a class width of 10 mm, and use 150 mm as the lower class limit of the first class.
Use the hand lengths in Exercise 1 and find the following:(a) Mean;(b) Median;(c) Standard deviation;(d) Variance;(e) Range. Include the appropriate units of measurement.173 179 207 158 196 195 214
Find the probability of selecting someone who got a result that is a false positive. Who would suffer from a false positive result? Why?
In a survey, 169 respondents say that they never use a credit card, 1227 say that they use it sometimes, and 2834 say that they use it frequently. What is the probability that a randomly selected
In a recent year, among 135,933,000 registered passenger cars in the United States, there were 10,427,000 crashes. Find the probability that a randomly selected passenger car in the United States
One measure of air travel safety is this: There are 117 fatalities per billion passenger flights. Express that measure as a probability. Is it unlikely for an air passenger to be a fatality? How does
In a New York Times/CBS News poll, respondents were asked if it should be legal or illegal to send a text message while driving. Eight said that it should be legal and 804 said that it should be
In a New York Times/CBS News poll, respondents were asked if it should be legal or illegal to use hand-held cell phones while driving. One hundred forty-one said that it should be legal, and 663 said
Among respondents asked which is their favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat (based on data from USA Today). What is the
In a Marist poll, respondents chose the most annoying phrases used in conversation. Nineteen chose “at the end of the day,” 441 chose “whatever,” 235 chose “you know,” 103 chose “it is
Each of two parents has the genotype brown/blue, which consists of the pair of alleles that determine eye color, and each parent contributes one of those alleles to a child. Assume that if the child
Men have XY (or YX) chromosomes and women have XX chromosomes. X-linked recessive genetic diseases (such as juvenile retinoschisis) occur when there is a defective X chromosome that occurs without a
Texas Pick 3 lottery, you can bet $1 by selecting the exact order of three digits between 0 and 9 inclusive, so the probability of winning is 1 /1000. If the same three numbers are drawn in the same
A roulette wheel has 38 slots. One slot is 0, another is 00, and the others are numbered 1 through 36, respectively. You place a bet that the outcome is an odd number.a. What is your probability of
When the horse Super Saver won the 136th Kentucky Derby, a $2 bet that Super Saver would win resulted in a return of $18.a. How much net profit was made from a $2 win bet on Super Saver?b. What were
In a clinical trial of 2103 subjects treated with Nasonex, 26 reported headaches. In a control group of 1671 subjects given a placebo, 22 reported headaches. Denoting the proportion of headaches in
For a Gallup poll, M is the event of randomly selecting a male, and R is the event of randomly selecting a Republican. Are events M and R disjoint? Why or why not?
Arriving late for your next statistics class. Arriving early for your next statistics class. Determine whether the two events are disjoint for a single trial.
In a Microsoft Instant Messaging survey, respondents were asked to choose the most fun way to flirt, and it found that P(D) = 0.550, where D is directly in person. If someone is randomly selected,
If one of the test subjects is randomly selected, find the probability that the subject had a positive test result or does not use drugs.
If one of the subjects is randomly selected, find the probability that the subject had a negative test result or does not use drugs.
If one of the subjects is randomly selected, find the probability that the subject had a negative test result or uses drugs.
If one of the physicians is randomly selected, what is the probability of getting one who calculated the dose correctly? Is that probability as high as it should be?
If one of the physicians is randomly selected, what is the probability of getting one who calculated the dose incorrectly? Is that probability as low as it should be?
a.For the physicians given the bottles labeled with a concentration, find the percentage of correct dosage calculations, then express it as a probability.b.For the physicians given the bottles
a. For the physicians given the bottles labeled with a concentration, find the percentage of wrong dosage calculations; then express it as a probability.b. For the physicians given the bottles
What is the probability that the selected person refused to answer? Does that probability value suggest that refusals are a problem for pollsters? Why or why not?
What is the probability that the selected person responded or is in the 18-21 age bracket?
What is the probability that the selected person refused to respond or is over 59 years of age?
A market researcher is interested in responses, especially from those between the ages of 22 and 39, because they are the people more likely to make purchases. Find the probability that a selected
A market researcher is not interested in refusals or subjects below 22 years of age or over 59. Find the probability that the selected person refused to answer or is below 22 or is older than 59.
Use If one of the test subjects is randomly selected, find the probability that the subject actually used marijuana. Do you think that the result reflects the marijuana use rate in the general
Use Find the probability of a false positive or false negative. What does the result suggest about the test’s accuracy? Use these results from the “1-Panel-THC” test for marijuana use, which is
Use Find the probability of a correct result by finding the probability of a true positive or a true negative. How does this result relate to the result from Exercise 37? Use these results from the
If events A and B are disjoint and events B and C are disjoint, must events A and Cbe disjoint? Give an example supporting your answer.
The formal addition rule expressed the probability of A or B as follows: P{A or B) = P{A) + (B) — P{A and B). The exclusive or means either one or the other events occurs, but not both. Rewrite the
Addition Rule Extend the formal addition rule to develop an expression for P{A or B or C). {Hint: Draw a Venn diagram.)
a. Develop a formula for the probability of not getting either A or B on a single trial. That is, find an expression for P{A or B).b. Develop a formula for the probability of not getting A or not
Are events R and D from Exercise 1 independent or dependent? Explain.
The event of finding that your car’s radio works and the event of finding that your car’s air conditioner works are independent events because they work separately from each other. Explain.
There are currently 28,741,346 adults in California, and they are all included in one large numbered list. The Gallup organization uses a computer to randomly select 1068 different numbers between 1
If 2 of the 1000 test subjects are randomly selected, find the probability that they both had false positive results. Is it unlikely to randomly select subjects and get 2 results that are both false
If 3 of the 1000 test subjects are randomly selected, find the probability that they all had false negative results. Is it unlikely to randomly select subjects and get 3 results that are all false
If 3 of the 1000 test subjects are randomly selected, find the probability that they all had correct test results (either true positive or true negative). Is such an event unlikely?a. Assume that the
If 4 of the 1000 test subjects are randomly selected, find the probability that they all had true negative test results. Is such an event unlikely?a. Assume that the 4 selections are made with
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. Among 8834
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. Among 810
Hard Drives It is generally recognized that it is wise to back up computer data. Assume that there is a 2% rate of disk drive failure in a year (based on data from various sources, including
The FAA requires that commercial aircraft used for flying in instrument conditions must have two independent radios instead of one. Assume that for a typical flight, the probability of a radio
For the following, ignore leap years and assume that births on the 365 different days of the year are equally likely.a.What is the probability that a randomly selected person was born on July
Assume that Google, Inc. hires employees on the different business days of the week (Monday through Friday) with equal likelihood.a.If two different employees are randomly selected, what is the
Use If 2 of the subjects are randomly selected without replacement, what is the probability that they both had correct test results (either true positive or true negative)? Is such an event unlikely?
In a Microsoft Instant Messaging survey, 1021 adults were asked to identify the most fun way to flirt, and 61 of them chose e-mail. a. If 1 of the surveyed adults is randomly selected, what is the
427 different adult women were randomly selected and asked what they purchase online, and 162 of the women said that they purchase clothes online (based on a survey by the Consumer Reports Research
Among respondents asked which is their favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat (based on data from USA Today).a. What is the
Refer to the figure at the top of the next page in which surge protectors p and q are used to protect an expensive 3D HDTV. If there is a surge in the voltage, the surge protector reduces it to a
If 25 people are randomly selected, find the probability that no 2 of them have the same birthday. Ignore leap years.
Subjective Probability a. Estimate the probability that on the next test in a randomly selected statistics class, at least one student earns a grade of A. b. Answer part (a) with the additional

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