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essentials of statistics
Questions and Answers of
Essentials Of Statistics
The efficiency of the rank correlation test is 0.91, which indicates that with all other factors being the same, rank correlation requires 100 pairs of sample observations to achieve the same results
Table A-5 lists critical values of r for selected values of n and a. Table A-5More generally, critical r values can be found by using the formula where the t value is found from the table
Use the frequency distribution from Exercise 11 in Section 2-1 on page 49 to construct a histogram. Does it appear to be the graph of data from a population with a normal distribution?In construct
Construct a stemplot of the body temperatures listed in Exercise 1. Are there any outliers?Data From Exercise 1Construct a frequency distribution of the 20 body temperatures (oF) listed below. (These
Use the frequency distribution from Exercise 12 in Section 2-1 on page 49 to construct a histogram. Does the histogram appear to be skewed? If so, identify the type of skewness.In construct the
During the last presidential election, CNN conducted an exit poll in which specific polling stations were randomly selected and all voters were surveyed as they left the premises.In identify which of
Blood lead levels of low, medium, and high used to describe the subjects in Data Set 7 “IQ and Lead” in Appendix BIn determine which of the four levels of measurement (nominal, ordinal, interval,
Refer to the frequency distribution from Exercise 5.Data From Exercise 5In Exercises 9 and 10, using a loose interpretation of the criteria for determining whether a frequency distribution is
In an investigation of a relationship between systolic blood pressure and diastolic blood pressure of adult females, which of the following graphs is most helpful: histogram; pie chart; scatterplot;
Refer to the frequency distribution from Exercise 6.Data From Exercise 6In Exercises 9 and 10, using a loose interpretation of the criteria for determining whether a frequency distribution is
In Florida’s Play 4 lottery game, four digits between 0 and 9 inclusive are randomly selected each day. We normally expect that each of the 10 different digits will occur about 1/10 of the time,
Use the frequency distribution from Exercise 17 in Section 2-1 on page 49 to construct a histogram. What can be concluded from the distribution of the digits? Specifically, do the heights appear to
Use the frequency distribution from Exercise 11 in Section 2-1 on page 49 to construct a frequency polygon. Does the graph suggest that the distribution is skewed? If so, how?In construct the
Use the frequency distribution from Exercise 13 in Section 2-1 on page 49 to construct a histogram. Does the histogram appear to be skewed? If so, identify the type of skewness.In construct the
Use the frequency distribution from Exercise 14 in Section 2-1 on page 49 to construct a histogram. Using a strict interpretation of the criteria for being a normal distribution, does the histogram
Use the frequency distribution from Exercise 12 in Section 2-1 on page 49 to construct a frequency polygon. Does the graph suggest that the distribution is skewed? If so, how?In construct the
Use the frequency distribution from Exercise 15 in Section 2-1 on page 49 to construct a histogram. Does the histogram appear to be skewed? If so, identify the type of skewness.In construct the
Use the frequency distribution from Exercise 16 in Section 2-1 on page 49 to construct a histogram. In using a strict interpretation of the criteria for being a normal distribution, does the
Use the frequency distribution from Exercise 18 in Section 2-1 on page 49 to construct a histogram. What can be concluded from the distribution of the digits? Specifically, do the heights appear to
Refer to Data Set 24 “Word Counts” in Appendix B, which includes counts of words spoken by males and females. That data set includes 12 columns of data, but first stack all of the male word
Listed below is a sample of duration times (seconds) of eruptions of the Old Faithful geyser. Use the range rule of thumb to estimate the value of the standard deviation of all duration times, and
The ACT test is used to assess readiness for college. In a recent year, the mean ACT score was 21.1 and the standard deviation was 5.1. Identify the ACT scores that are significantly low or
Simulations Calculating probabilities are sometimes painfully difficult, but simulations provide us with a very practical alternative to calculations based on formal rules. A simulation of a
Exercise 25 “Tornadoes”In refer to the data in the indicated exercise. After finding the range of the data, use the range rule of thumb to estimate the value of the standard deviation. Compare
Find the probability of selecting someone who uses drugs. Does the result appear to be reasonable as an estimate of the “prevalence rate” described in the Chapter Problem?In refer to the sample
Which of the following are probabilities? 0 3/5 5/3 -0.25 250% 7:3 1 50-50 5:1 0.135 2.017
Exercise 26 “Earthquakes”In refer to the data in the indicated exercise. After finding the range of the data, use the range rule of thumb to estimate the value of the standard deviation. Compare
Exercise 27 “Body Temperatures”In refer to the data in the indicated exercise. After finding the range of the data, use the range rule of thumb to estimate the value of the standard
1. False Positive Based on the results in the table, find the probability that a subject is not a smoker, given that the test result is positive.2. True Positive Based on the results in the table,
1. Out-of-class activity Divide into groups of three or four and create a new carnival game. Determine the probability of winning. Determine how much money the operator of the game can expect to gain
A presidential candidate plans to begin her campaign by visiting the capitals of 5 of the 50 states. If the five capitals are randomly selected without replacement, what is the probability that the
In a recent U.S. Open tennis tournament, there were 879 challenges made by singles players, and 231 of them resulted in referee calls that were overturned. The accompanying table lists the results by
Currently, the rate for new cases of diabetes in a year is 3.4 per 1000 (based on data from the Centers for Disease Control and Prevention). When testing for the presence of diabetes, the Portland
MicroSort’s YSORT gender selection technique is designed to increase the likelihood that a baby will be a boy. At one point before clinical trials of the YSORT gender selection technique were
Overbooking Flights American Airlines Flight 171 from New York’s JFK airport to LAX airport in Los Angeles uses an Airbus A321 aircraft with 189 seats available for passengers. American Airlines
Gregor Mendel conducted original experiments to study the genetic traits of pea plants. In 1865 he wrote “Experiments in Plant Hybridization,” which was published in Proceedings of the Natural
Is a probability distribution defined if the only possible values of a random variable are 0, 1, 2, 3, and P(0) = P(1) = P(2) = P(3) = 1/3?
Assume that we want to find the probability that when five consumers are randomly selected, exactly two of them are comfortable with delivery by drones. Also assume that 42% of consumers are
During a recent 64-year period, New Mexico had 153 tornadoes that measured 1 or greater on the Fujita scale. Let the random variable x represent the number of such tornadoes to hit New Mexico in one
Find the mean and standard deviation for the numbers of adults in groups of five who have credit cards. In Exercises 1–5, assume that 74% of randomly selected adults have a credit card (based
For Formula 5-9, what does P(0) represent? Simplify Formula 5-9 for the case in which x = 0.
In refer to the given values, then identify which of the following is most appropriate: discrete random variable, continuous random variable, or not a random variable.a. Exact weights of the next 100
Based on the table, the standard deviation is 0.9 flight. What is the variance? Include appropriate units.In use the following: Five American Airlines flights are randomly selected, and the table in
Find the probability that the number x of correct answers is exactly 7.In assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n = 8 trials, each
Find the probability that the number x of correct answers is at least 4.In assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n = 8 trials, each
Find the probability of no correct answers.In assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n = 8 trials, each with probability of success
Find the probability that at least one answer is correct.In assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n = 8 trials, each with
If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes.In assume that when adults with smartphones are randomly
If 20 adult smartphone users are randomly selected, find the probability that exactly 15 of them use their smartphones in meetings or classes.In assume that when adults with smartphones are randomly
If 10 adult smartphone users are randomly selected, find the probability that at least 8 of them use their smartphones in meetings or classes.In assume that when adults with smartphones are randomly
It is estimated that worldwide, 1% of those aged 15–49 are infected with the human immunodeficiency virus (HIV) (based on data from the National Institutes of Health). In tests for HIV, blood
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