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Mathematical Interest Theory 3rd Edition Leslie Jane, James Daniel, Federer Vaaler - Solutions

Using the president/opponent heights, find the best predicted height of an opponent of a president who is 190 cm tall. Does it appear that heights of opponents can be predicted from the heights of the presidents?In each case, find the regression equation, letting the first variable be the predictor
In each case, find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in Figure 10-5 on page 493.Figure 10-5Using the diameter>circumference data, find the best predicted
In each case, find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in Figure 10-5 on page 493.Figure 10-5Using the diameter > volume data from the preceding exercise, find the best
Use the same Appendix B data sets as Exercises 29-32 in Section 10-1. In each case, find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted values following the prediction procedure summarized in Figure 10-5 on page 493.Repeat Exercise 13
a. What is a residual? b. In what sense is the regression line the straight line that "best" fits the points in a scatter plot?
What is the relationship between the linear correlation coefficient r and the slope b1 of a regression line?
For a year with 850,000 (x = 85) registered boats in Florida, identify the 95% prediction interval estimate of the number of manatee fatalities resulting from encounters with boats. Write a statement interpreting that interval?Refer to the display obtained by using the paired data consisting of
Boats Use x = 85 (for 850,000 registered boats) with a 99% confidence level? Use the paired data consisting of registered Florida boats (tens of thousands) and manatee fatalities from boat encounters listed in Data Set 10 "Manatee Deaths" in Appendix B. Let x represent number of registered boats
Boats Use x = 98 (for 960,000 registered boats) with a 95% confidence level? Use the paired data consisting of registered Florida boats (tens of thousands) and manatee fatalities from boat encounters listed in Data Set 10 "Manatee Deaths" in Appendix B. Let x represent number of registered boats
Boats Use x = 96 (for 960,000 registered boats) with a 95% confidence level? Use the paired data consisting of registered Florida boats (tens of thousands) and manatee fatalities from boat encounters listed in Data Set 10 "Manatee Deaths" in Appendix B. Let x represent number of registered boats
Boats Use x = 87 (for 870,000 registered boats) with a 99% confidence level? Use the paired data consisting of registered Florida boats (tens of thousands) and manatee fatalities from boat encounters listed in Data Set 10 "Manatee Deaths" in Appendix B. Let x represent number of registered boats
The table below lists numbers of cricket chirps in 1 minute and the temperature in °F. For the prediction interval, use 1000 chirps in 1 minute and use a 90% confidence level.Find the(a) Explained variation,(b) Unexplained variation, and(c) Indicated prediction interval. In each case, there is
A random sample of 118 different female statistics students is obtained and their weights are measured in kilograms and in pounds. Using the 118 paired weights (weight in kg, weight in lb), what is the value of se? For a female statistics student who weighs 100 lb, the predicted weight in kilograms
Crickets and Temperature r = 0.874 (x = number of cricket chirps in 1 minute, y = temperature in °F)? Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between
Pizza and Subways r = 0.992 (x = cost of a slice of pizza, y = subway fare in New York City)? Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two
Weight / Waist r = 0.885 (x = weight of male, y = waist size of male)? Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables.
Bears r = 0.783 (x = head width of a bear, y = weight of a bear)? Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables.
We want to consider the correlation between heights of fathers and mothers and the heights of their sons. Refer to the Stat-Crunch display and answer the given questions or identify the indicated items. The display is based on Data Set 5 "Family Heights" in Appendix B.Identify the following: a. The
We want to consider the correlation between heights of fathers and mothers and the heights of their sons. Refer to the Stat-Crunch display and answer the given questions or identify the indicated items. The display is based on Data Set 5 "Family Heights" in Appendix B.A son will be born to a father
Listed below are mean amounts of carbon dioxide concentrations (parts per million) in our atmosphere for each decade, beginning with the 1880s. Find the best model and then predict the value for 2090-2099. Comment on the result.
The Dirt Guy Topsoil company in Durham, CT, sells (you guessed it) topsoil. It is sold by the "yard," which is actually a cubic yard, and the variable x is the length (yd) of each side of a cube of topsoil.Construct a scatterplot and identify the mathematical model that best fits the given data.
The table below lists measured amounts (mg) of tar, carbon monoxide (CO), and nicotine in king size cigarettes of different brands (from Data Set 13 "Cigarette Contents" in Appendix B).a. Is there is sufficient evidence to support a claim of a linear correlation between tar and nicotine?b. What
Use a 0.05 significance level to test for a linear correlation between the DJIA values and the sunspot numbers. Is the result as you expected? Should anyone consider investing in stocks based on sunspot numbers?Listed below are annual high values of the Dow Jones Industrial Average (DJIA) and
Using only the sunspot numbers, identify the highest number and convert it to a z score. In the context of these sample data, is that highest value "significantly high"? Why or why not?Listed below are annual high values of the Dow Jones Industrial Average (DJIA) and annual mean sunspot numbers for
The mean sunspot number for the past three centuries is 49.7. Use a 0.05 significance level to test the claim that the eight listed sunspot numbers are from a population with a mean equal to 49.7?Listed below are annual high values of the Dow Jones Industrial Average (DJIA) and annual mean sunspot
In the author's home town of Madison, CT, there were 2733 police traffic stops in a recent year, and 7% of them were attributable to improper use of cell phones. Use a 0.05 significance level to test the claim that the sample is from a population in which fewer than 10% of police traffic stops are
The table below shows the distribution of the ages of moviegoers (based on data from the Motion Picture Association of America). Use the data to estimate the mean, standard deviation, and variance of ages of moviegoers.Listed below are annual high values of the Dow Jones Industrial Average (DJIA)
The table below lists leading digits of 317 inter-arrival Internet traffic times for a computer, along with the frequencies of leading digits expected with Benford's law (from Table 11-1 in the Chapter Problem).a. Identify the notation used for observed and expected values.b. Identify the observed
The author recorded all digits selected in California's Daily 4 Lottery for the 60 days preceding the time that this exercise was created. The frequencies of the digits from 0 through 9 are 21, 30, 31, 33, 19, 23, 21, 16, 24, and 22. Use a 0.05 significance level to test the claim of lottery
Data Set 4 "Births" includes the days of the weeks that prospective mothers were admitted to a hospital to give birth. A physician claims that because many births are induced or involve cesarean section, they are scheduled for days other than Saturday or Sunday, so births do not occur on the seven
Data Set 4 "Births" includes the days of the weeks that newborn babies were discharged from the hospital. A hospital administrator claims that such discharges occur on the seven different days of the week with equal frequency. Use a 0.01 significance level to test that claim.Conduct the hypothesis
When using the data from Exercise 1 to test for goodness-of-fit with the distribution described by Benford's law, identify the null and alternative hypotheses.Data From Exercise 1
Data Set 1 "Body Data" in Appendix B includes weights (kg) of 300 subjects. Use a 0.05 significance level to test the claim that the sample is from a population of weights in which the last digits do not occur with the same frequency. When people report their weights instead of being measured, they
What do the results from the preceding exercises suggest about the possibility that the computer has been hacked? Is there any corrective action that should be taken?
Researchers investigated the issue of race and equality of access to clinical trials. The following table shows the population distribution and the numbers of participants in clinical trials involving lung cancer (based on data from "Participation in Cancer Clinical Trials," by Murthy, Krumholz,
Experiments are conducted with hybrids of two types of peas. If the offspring follow Mendel's theory of inheritance, the seeds that are produced are yellow smooth, green smooth, yellow wrinkled, and green wrinkled, and they should occur in the ratio of 9:3:3:1, respectively. An experiment is
The accompanying table is from a study conducted with the stated objective of addressing cell phone safety by understanding why we use a particular ear for cell phone use. (See "Hemispheric Dominance and Cell Phone Use," by Seidman, Siegel, Shah, and Bowyer, JAMA Otolaryngology-Head & Neck Surgery,
The accompanying table lists results of overtime football games before and after the overtime rule was changed in the National Football League in 2011. Use a 0.05 significance level to test the claim of independence between winning an overtime game and whether playing under the old rule or the new
California, Connecticut, and New York are states with laws requiring that cars have license plates on the front and rear. The author randomly selected cars in those states and the results are given in the accompanying table. Use a 0.05 significance level to test the claim of independence between
Is the hypothesis test described in Exercise 1 right tailed, left-tailed, or two-tailed? Explain your choice.
In a study of high school students at least 16 years of age, researchers obtained survey results summarized in the accompanying table (based on data from "Texting While Driving and Other Risky Motor Vehicle Behaviors Among U.S. High School Students," by O'Malley, Shults, and Eaton, Pediatrics, Vol.
In a study of high school students at least 16 years of age, researchers obtained survey results summarized in the accompanying table (based on data from "Texting While Driving and Other Risky Motor Vehicle Behaviors Among U.S. High School Students," by O'Malley, Shults, and Eaton, Pediatrics, Vol.
In a study of the "denomination effect," 43 college students were each given one dollar in the form of four quarters, while 46 other college students were each given one dollar in the form of a dollar bill. All of the students were then given two choices: (1) keep the money; (2) spend the money on
The table below lists motor vehicle fatalities by day of the week for a recent year (based on data from the Insurance Institute for Highway Safety). Use a 0.01 significance level to test the claim that auto fatalities occur on the different days of the week with the same frequency. Provide an
The table below shows results from a study in which some patients were treated with fillings that contain mercury and others were treated with fillings that do not contain mercury (based on data from "Neuropsychological and Renal Effects of Dental Amalgam in Children," by Bellinger et al., Journal
For a recent year, the numbers of weather-related U.S. deaths for each month were 28, 17, 12, 24, 88, 61, 104, 32, 20, 13, 26, 25 (listed in order beginning with January). Use a 0.01 significance level to test the claim that weather-related deaths occur in the different months with the same
In a survey sponsored by the Lindt chocolate company, 1708 women were surveyed and 85% of them said that chocolate made them happier. a. Is there anything potentially wrong with this survey? b. Of the 1708 women surveyed, what is the number of them who said that chocolate made them happier?
Use the results from part (b) of Cumulative Review Exercise 2 to construct a 99% confidence interval estimate of the percentage of women who say that chocolate makes them happier. Write a brief statement interpreting the result.
Use the results from part (b) of Cumulative Review Exercise 2 to test the claim that when asked, more than 80% of women say that chocolate makes them happier. Use a 0.01 significance level.
Using the pulse rates of males from Data Set 1 "Body Data" in Appendix B after they are partitioned into the three age brackets of 18-25, 26-40, and 41-80, we get the following SPSS display. Using a 0.05 significance level, test the claim that males from the three age brackets have the same mean
Listed below are amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level to test the claim that the three samples
Listed below are departure delay times (minutes) for American Airline flights from New York to Los Angeles. Negative values correspond to flights that departed early. Use a 0.05 significance level to test the claim that the different flights have the same mean departure delay time. What notable
Listed below are attribute ratings of males by females who participated in speed dating events (from Data Set 18 "Speed Dating" in Appendix B). Use a 0.05 significance level to test the claim that females in the different age brackets give attribute ratings with the same mean. Does age appear to be
Refer to Data Set 28 "Chocolate Chip Cookies" in Appendix B and use the counts of chocolate chips from the three different types of Chips Ahoy cookies. Use a 0.05 significance level to test the claim that the three different types of Chips Ahoy cookies have the same mean number of chocolate chips.
Data Set 25 "Fast Food" in Appendix B lists drive through service times (seconds) for dinners at McDonald's, Burger King, and Wendy's. Using those times with a TI-83>84 Plus calculator yields the following display. Using a 0.05 significance level, test the claim that the three samples are from
Data Set 4 "Births" in Appendix B lists birth weights from babies born at Albany Medical Center, Bellevue Hospital in New York City, Olean General Hospital, and Strong Memorial Hospital in Rochester, New York. After partitioning the birth weights according to the hospital, we get the StatCrunch
Using the pulse rates of females from Data Set 1 "Body Data" in Appendix B after they are partitioned into the three age brackets of 18-25, 26-40, and 41-80, we get the following Statdisk display. Using a 0.05 significance level, test the claim that females from the three age brackets have the same
a. What is an interaction between two factors?b. In general, when using two-way analysis of variance, if we find that there is an interaction effect, how does that affect the procedure?c. Shown below is an interaction graph constructed from the data in Exercise 1. What does the graph suggest?
If we use the data given in Exercise 1 with two-way analysis of variance, we get the accompanying display. What do you conclude?
The weights (kg) in the following table are from Data Set 1 "Body Data" in Appendix B. Results from two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significance level. What do you conclude?
The heights (cm) in the following table are from Data Set 1 "Body Data" in Appendix B. Results from two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significance level. What do you conclude?
Listed below are New York City Marathon running times (in seconds) for randomly selected runners who completed the marathon. Are the running times affected by an interaction between gender and age bracket? Are running times affected by gender? Are running times affected by age bracket? Use a 0.05
Data Set 18 "Speed Dating" in Appendix B lists attribute ratings of females by males who participated in speed dating events, and some of those values are included in the table on the top of the next page. Analysis of variance is used with the values in that table, and the StatCrunch results are
Data Set 19 "Car Crash Tests" in Appendix B lists results from car crash tests. The data set includes crash test loads (pounds) on the left femur and right femur. When those loads are partitioned into the three car size categories of small, midsize, and large, the two way analysis of results from
Listed below are attribute ratings of males by females who participated in speed dating events (from Data Set 18 "Speed Dating" in Appendix B). Use a 0.05 significance level to apply the methods of two-way analysis of variance. What do you conclude?
Include appropriate units in all answers.a. Find the mean for each of the three flights.b. Find the standard deviation for each of the three flights.c. Find the variance for each of the three flights.d. Are there any obvious outliers?e. What is the level of measurement of the data (nominal,
Treating the data as samples from larger populations, test the claim that there is a difference between the mean departure delay time for Flight 3 and Flight 21.Refer to the following list of departure delay times (min) of American Airline flights from JFK airport in New York to LAX airport in Los
The accompanying normal quantile plot was obtained from the Flight 19 departure delay times. What does this graph tell us?Refer to the following list of departure delay times (min) of American Airline flights from JFK airport in New York to LAX airport in Los Angeles. Assume that the data are
Use the departure delay times for Flight 3 and construct a 95% confidence interval estimate of the population mean. Write a brief statement that interprets the confidence interval.Refer to the following list of departure delay times (min) of American Airline flights from JFK airport in New York to
The XLSTAT display below results from using the one-way analysis of variance test with the three samples.a. What is the null hypothesis?b. Assuming a 0.05 significance level, what conclusion is indicated by the displayed results?Refer to the following list of departure delay times (min) of American
Assume that weights of quarters minted after 1964 are normally distributed with a mean of 5.670 g and a standard deviation of 0.062 g (based on U.S. Mint specifications). a. Find the probability that a randomly selected quarter weighs between 5.600 g and 5.700 g. b. If 25 quarters are randomly
Shown below is a histogram of digits selected in California's Win 4 lottery. Each drawing involves the random selection (with replacement) of four digits between 0 and 9 inclusive.a. What is fundamentally wrong with the graph?b. Does the display depict a normal distribution? Why or why not? What
A random sample of 860 births in New York State included 426 boys and 434 girls. Use a 0.05 significance level to test the claim that when babies are born, boys and girls are equally likely. Use the sign test for the claim involving nominal data.
Before the overtime rule in the National Football League was changed in 2011, among 460 overtime games, 252 were won by the team that won the coin toss at the beginning of overtime. Using a 0.05 significance level, test the claim that the coin toss is fair in the sense that neither team has an
Listed below are "attribute" ratings made by couples participating in a speed dating session. Each attribute rating is the sum of the ratings of five attributes (sincerity, intelligence, fun, ambition, shared interests). The listed ratings are from Data Set 18 "Speed Dating" in Appendix B. Use a
Listed below are "attractiveness" ratings (1 = not attractive; 10 = extremely attractive) made by couples participating in a speed dating session. The listed ratings are from Data Set 18 "Speed Dating". Use a 0.05 significance level to test the claim that there is a difference between female
Repeat Exercise 5 using all of the attribute ratings in Data Set 18 "Speed Dating" in Appendix B.Exercise5Use the sign test for the data consisting of matched pairs. Data Set 18
Repeat Exercise 6 using all of the attractiveness ratings in Data Set 18 "Speed Dating" in Appendix B.Exercise 6Use the sign test for the data consisting of matched pairs. Data Set 18
Newsweek conducted a poll in which respondents were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled, 481 were in favor, 401 were opposed, and 120 were unsure. Use a 0.01 significance level to test the
The table below lists body temperatures of seven subjects at 8 AM and at 12 AM (from Data Set 3 "Body Temperatures in Appendix B). The data are matched pairs because each pair of temperatures is measured from the same person. Assume that we plan to use the Wilcoxon signed-ranks test to test the
Exercise 12 uses Data Set 23 "Old Faithful" in Appendix B, and the sample size is 250. a. If we have sample paired data with 250 nonzero differences, what are the smallest and largest possible values of T? b. If we have sample paired data with 250 nonzero differences, what is the expected value of
For the matched pairs listed in Exercise 1, identify the following components used in the Wilcoxon signed-ranks test: a. Differences d b. The ranks corresponding to the nonzero values of | d | c. The signed ranks d. The sum of the positive ranks and the sum of the absolute values of the negative
Example 1 in this section used samples of course evaluations, and the table below lists student evaluations of female professors and male professors (from Data Set 17 "Course Evaluations" in Appendix B). Are the requirements for using the Wilcoxon rank-sum test satisfied? Why or why not?
Repeat Exercise 5 "Student Evaluations of Professors" using all of the student evaluations of professors given in Data Set 17 "Course Evaluations" in Appendix B.Exercise 5Use the sample data given in Exercise 1 and test the claim that evaluation ratings of female professors have the same median as
Listed on the top of the next page are attribute ratings of males by females who participated in speed dating events (from Data Set 18 "Speed Dating" in Appendix B ). In using the Kruskal-Wallis test, we must rank all of the data combined, and then we must find the sum of the ranks for each sample.
Data Set 4 "Births" in Appendix B lists birth weights from babies born at Albany Medical Center, Bellevue Hospital in New York City, Olean General Hospital, and Strong Memorial Hospital in Rochester, New York. Use a 0.05 significance level to test the claim that the four different hospitals have
Refer to Data Set 28 "Chocolate Chip Cookies" in Appendix B and use the counts of chocolate chips from the three different types of Chips Ahoy cookies. Use a 0.01 significance level to test the claim that the three different types of Chips Ahoy cookies have the same median number of chocolate
Listed below are amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.01 significance level to test the claim that the three samples
Data Set 25 "Fast Food" in Appendix B lists drive through service times (seconds) for dinners at McDonald's, Burger King, and Wendy's. Using a 0.05 significance level, test the claim that the three samples are from populations with the same median.Use the Kruskal-Wallis test with the data set in
Use CPI/subway data from the preceding exercise to test for a correlation between the CPI (Consumer Price Index) and the subway fare. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of α = 0.05.
Repeat Exercise 7 using all of the paired chocolate / Nobel data in Data Set 16 "Nobel Laureates and Chocolate" in Appendix B.Exercise 7Use the data in Appendix B to test for rank correlation with a 0.05 significance level. Data Set 16
Refer to Data Set 8 "IQ and Brain Size" in Appendix B and test for a correlation between brain volume (cm3) and IQ score.Use the data in Appendix B to test for rank correlation with a 0.05 significance level.Data Set 8
Which of the levels of measurement (nominal, ordinal, interval, ratio) describe data that cannot be used with the methods of rank correlation? Explain.
The table below lists chocolate consumption (kg per capita) and the numbers of Nobel Laureates (per 10 million people) for several different countries (from Data Set 16 in Appendix B). Is there a correlation between chocolate consumption and the rate of Nobel Laureates? How could such a correlation
The "pizza connection" is the principle that the price of a slice of pizza in New York City is always about the same as the subway fare. Use the data listed below to determine whether there is a correlation between the cost of a slice of pizza and the subway fare.Use the rank correlation
Can the runs test be used to show the proportion of Republicans is significantly greater than the proportion of Democrats? Use the following sequence of political party affiliations of recent presidents of the United States, where R represents Republican and D represents Democrat. R R R R D R D R R
Repeat Example 2 "Randomness of Births" using the births from Data Set 4 "Births" in Appendix B for the genders of births at Strong Memorial Hospital instead of Bellevue Hospital Center. Again use a 0.05 significance level to test the claim that the sequence of genders is random.Example 2Data Set 4
Given the sequence of data, if we fail to reject randomness, does it follow that the sampling method is suitable for statistical methods? Explain. Use the following sequence of political party affiliations of recent presidents of the United States, where R represents Republican and D represents
Listed below are numbers of law enforcement fatalities for 20 recent and consecutive years. First find the mean, identify each value as being above the mean (A) or below the mean (B), then test for randomness above and below the mean. Is there a trend?Use the runs test with a significance level of
Listed below are job stress scores and median annual salaries (thousands of dollars) for various jobs, including firefighters, airline pilots, police officers, and university professors (based on data from "Job Rated Stress Score" from CareerCast.com). Do these data suggest that there is a

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