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biostatistics

Biostatistics For The Biological And Health Sciences 2nd Edition Marc Triola, Mario Triola, Jason Roy - Solutions

Hospital Cybersecurity The accompanying Statdisk results shown in the margin are obtained from the data given in Exercise 1.What should be concluded when testing the claim that the leading digits have a distribution that fits well with Benford’s law?
Hospital Cybersecurity 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.
6. Logistic Regression with Smoking and Body Temperature Refer to Data Set 2 “Body Temperatures” in Appendix B and use the body temperatures at 8 AM on Day 1 and at 12 AM on Day 1. Let the response variable be whether the subject smokes (1 = smokes, 0 = does not smoke). Find the multiple
Bacteria Growth In an experiment, the numbers of bacteria in a controlled environment are recorded over time. The table below lists the time (days) that has lapsed and the population size(thousands). What do you conclude about the relationship between time and population size?What horrible mistake
4. Multiple Regression with Cigarettes Use the sample data given in Exercise 1 “Cigarette Tar and Nicotine.”a. Find the multiple regression equation with the response (y) variable of amount of nicotine and predictor (x) variables of amounts of tar and carbon monoxide.b. Identify the value of
3. Cigarette Tar and Carbon Monoxide Refer to the table of data given in Exercise 1 and use the amounts of tar and carbon monoxide.a. Construct a scatterplot using the horizontal scale to represent the amount of tar. What does the scatterplot suggest?b. Does the scatterplot show eight points
Cigarette Nicotine and Carbon Monoxide Refer to the table of data given in Exercise 1 and use the amounts of nicotine and carbon monoxide (CO).a. Construct a scatterplot using nicotine for the x scale or horizontal axis. What does the scatterplot suggest about a linear correlation between amounts
Cigarette Tar and Nicotine The table below lists measured amounts (mg) of tar, carbon monoxide (CO), and nicotine in king size cigarettes of different brands (from Data Set 15“Cigarette Contents”).a. Is there is sufficient evidence to support a claim of a linear correlation between tar and
Weighing Seals with a Camera The table below lists overhead widths (cm) of seals measured from photographs and the weights (kg) of the seals (based on “Mass Estimation of Weddell Seals Using Techniques of Photogrammetry,” by R. Garrott of Montana State University).For the prediction interval,
Crickets and Temperature The table below lists numbers of cricket chirps in 1 minute and the temperature in oF. For the prediction interval, use 1000 chirps in 1 minute and use a 90% confidence level.Chirps in 1 min 882 1188 1104 864 1200 1032 960 900 Temperature 1 F2 69.7 93.3 84.3 76.3 88.6 82.6
Tree Circumference and Height The table below lists circumferences (in feet) and the heights (in feet) of trees in Marshall, Minnesota (based on data from “Tree Measurements,”by Stanley Rice, American Biology Teacher, Vol. 61, No. 9). For the prediction interval, use a circumference of 4.0 ft
Blood Pressure The table below lists systolic blood pressures (mm Hg) and diastolic blood pressures (mm Hg) of adult females (from Data Set 1 “Body Data” in Appendix B). For the prediction interval, use a systolic blood pressure of 120 mm Hg and use a 95% confidence level.Systolic 126 104 130
Boats Use x = 87 (for 870,000 registered boats) with a 99% confidence level. Finding a Prediction Interval. In Exercises 13–16, use the paired data consisting of registered Florida boats (tens of thousands) and manatee fatalities from boat encounters listed in Data Set 12 “Manatee Deaths” in
Boats Use x = 96 (for 960,000 registered boats) with a 95% confidence level. Finding a Prediction Interval. In Exercises 13–16, use the paired data consisting of registered Florida boats (tens of thousands) and manatee fatalities from boat encounters listed in Data Set 12 “Manatee Deaths” in
Boats Use x = 98 (for 980,000 registered boats) with a 95% confidence level. Finding a Prediction Interval. In Exercises 13–16, use the paired data consisting of registered Florida boats (tens of thousands) and manatee fatalities from boat encounters listed in Data Set 12 “Manatee Deaths” in
Boats Use x = 85 (for 850,000 registered boats) with a 99% confidence level. Finding a Prediction Interval. In Exercises 13–16, use the paired data consisting of registered Florida boats (tens of thousands) and manatee fatalities from boat encounters listed in Data Set 12 “Manatee Deaths” in
Finding a Prediction Interval 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.Interpreting a Computer Display. In
Predicting Manatee Fatalities Using x = 85 (for 850,000 registered boats), what is the single value that is the best predicted number of manatee fatalities resulting from encounters with boats?Interpreting a Computer Display. In Exercises 9–12, refer to the display obtained by using the paired
Identifying Total Variation What percentage of the total variation in manatee fatalities can be explained by the linear correlation between registered boats and manatee fatalities?Interpreting a Computer Display. In Exercises 9–12, refer to the display obtained by using the paired data consisting
Testing for Correlation Use the information provided in the display to determine the value of the linear correlation coefficient. Is there sufficient evidence to support a claim of a linear correlation between numbers of registered boats and numbers of manatee deaths from encounters with
Bears r = 0.783 1x = head width of a bear, y = weight of a bear2 Interpreting the Coefficient of Determination. In Exercises 5–8, 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
Bear Neck Size and Weight r = 0.934 (x = neck size, y = weight)Interpreting the Coefficient of Determination. In Exercises 5–8, 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
Weight ,Waist r = 0.885 1x = weight of male, y = waist size of male2 Interpreting the Coefficient of Determination. In Exercises 5–8, 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
Crickets and Temperature r = 0.874 ( x = number of cricket chirps in 1 minute, y = temperature in oF)Interpreting the Coefficient of Determination. In Exercises 5–8, use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total
Standard Error of Estimate 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
Coefficient of Determination Using the heights and weights described in Exercise 1, the linear correlation coefficient r is 0.394. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide?
Prediction Interval Using the heights and weights described in Exercise 1, a height of 180 cm is used to find that the predicted weight is 91.3 kg, and the 95% prediction interval is (59.0 kg, 123.6 kg). Write a statement that interprets that prediction interval. What is the major advantage of
se Notation Using Data Set 1 “Body Data” in Appendix B, if we let the predictor variable x represent heights of males and let the response variable y represent weights of males, the sample of 153 heights and weights results in se = 16.27555 cm. In your own words, describe what that value of se
Least-Squares Property According to the least-squares property, the regression line minimizes the sum of the squares of the residuals. Refer to the data in Table 10-1 on page 443.a. Find the sum of squares of the residuals.b. Show that the regression equation yn = 3.00 + 0.0500x results in a larger
Vision Use the measurements of visual acuity from the right eye and left eye as listed in Data Set 5 “Vision” in Appendix B. What is the best predicted measurement for the left ear given a reading of 50 for the right ear? Large Data Sets. Exercises 25–32 use the same Appendix B data sets as
Audiometry Use the right ear threshold measurements and the corresponding left ear threshold measurements from Data Set 4 “Audiometry” in Appendix B. What is the best predicted threshold measurement for the left ear given a measurement of 20 for the right ear? Large Data Sets. Exercises 25–32
Blood Pressure Use the systolic and diastolic blood pressures from the females in Data Set 1 “Body Data” in Appendix B. If a female has a systolic blood pressure of 120 mm Hg, what is the best predicted diastolic blood pressure? Large Data Sets. Exercises 25–32 use the same Appendix B data
Pulse Rate and Blood Pressure Use all of the pulse rates and systolic blood pressure amounts for adult females in Data Set 1 “Body Data” in Appendix B. If a subject has a pulse rate of 80 beats per minute, what is the best predicted systolic blood pressure? Large Data Sets. Exercises 25–32
Predicting Height Use the foot lengths and heights from the 19 males in Data Set 7 “Foot and Height.” Find the best predicted height of a male who has a foot length of 28 cm. Large Data Sets. Exercises 25–32 use the same Appendix B data sets as Exercises 25–32 in Section 10-1. In each case,
Predicting Height Use the shoe print lengths and heights of the 19 males from Data Set 7“Foot and Height.” Find the best predicted height of a male who has a shoe print length of 31.3 cm. Large Data Sets. Exercises 25–32 use the same Appendix B data sets as Exercises 25–32 in Section 10-1.
Weight and IQ Repeat Exercise 14 “Weight and IQ” using all of the weights and IQ scores in Data Set 9 “IQ and Brain Size” in Appendix B. Large Data Sets. Exercises 25–32 use the same Appendix B data sets as Exercises 25–32 in Section 10-1. In each case, find the regression equation,
Brain Volume and IQ Repeat Exercise 13 using all of the brain volumes and IQ scores in Data Set 9 “IQ and Brain Size” in Appendix B. Large Data Sets. Exercises 25–32 use the same Appendix B data sets as Exercises 25–32 in Section 10-1. In each case, find the regression equation, letting the
Tree Circumference and Height Using the circumference>height data, find the best predicted height of a tree with a circumference of 5.0 feet. What is a big advantage of being able to predict height given a known circumference?Circumference 1.8 1.9 1.8 2.4 5.1 3.1 5.5 5.1 8.3 13.7 5.3 4.9 Height
POTUS 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?President 178 182 188 175 179 183 192 182 177 185 188 188 183 188 Opponent 180
Manatees Use the listed boat>manatee data. In a year not included in the data below, there were 970,000 registered pleasure boats in Florida. Find the best predicted number of manatee fatalities resulting from encounters with boats. Is the result reasonably close to 79, which was the actual number
Weighing Seals with a Camera Using the listed width>weight data, find the best predicted weight of a seal if the overhead width measured from a photograph is 2 cm. Can the prediction be correct? If not, what is wrong?Overhead Width 7.2 7.4 9.8 9.4 8.8 8.4 Weight 116 154 245 202 200 191 Regression
Systolic and Diastolic Blood Pressure Use the systolic and diastolic blood pressures from the preceding exercise. If a female has a systolic blood pressure of 120 mm Hg, what is the best predicted diastolic blood pressure?Regression and Predictions. Exercises 13–24 use the same data sets as
Pulse Rate and Systolic Blood Pressure Use the following pulse rates and systolic blood pressures. If a subject has a pulse rate of 80 beats per minute, what is the best predicted systolic blood pressure?Pulse 86 72 82 82 64 68 70 78 96 72 60 98 Systolic 126 104 130 106 158 96 156 112 122 114 102
Crickets and Temperature Find the best predicted temperature at a time when a cricket chirps 3000 times in 1 minute. What is wrong with this predicted temperature?Chirps in 1 min 882 1188 1104 864 1200 1032 960 900 Temperature 1 F2 69.7 93.3 84.3 76.3 88.6 82.6 71.6 79.6 Regression and
Lemons and Car Crashes Using the listed lemon>crash data, find the best predicted crash fatality rate for a year in which there are 500 metric tons of lemon imports. Is the prediction worthwhile?Lemon Imports 230 265 358 480 530 Crash Fatality Rate 15.9 15.7 15.4 15.3 14.9 Regression and
Predicting Height Use the foot lengths and heights from the preceding exercise to find the best predicted height of a male who has a foot length of 28 cm. Would the result be helpful to police crime scene investigators in trying to describe the male?Regression and Predictions. Exercises 13–24 use
Predicting Height Use the shoe print lengths and heights to find the best predicted height of a male who has a shoe print length of 31.3 cm. Would the result be helpful to police crime scene investigators in trying to describe the male?Shoe Print (cm) 29.7 29.7 31.4 31.8 27.6 Foot Length (cm) 25.7
Weight and IQ Use the weights (x) and IQ scores (y) from the preceding exercise. If a subject weighs 79.380 kg, what is the best predicted IQ score? How does it compare to the actual IQ score of 88 for the subject who weighed 79.380 kg?Regression and Predictions. Exercises 13–24 use the same data
Brain Volume and IQ Use the following brain volumes (x) and IQ scores (y). If a subject has a brain volume of 1200 cm3, what is the best predicted IQ score?IQ 87 101 103 96 101 96 93 88 97 114 113 Brain Volume 1027 1281 1051 1079 1173 1079 1067 1104 1029 1100 1204 Body Weight 58.514 63.958 133.358
Effects of Clusters Refer to the Minitab-generated scatterplot given in Exercise 12 of Section 10-1 on page 459.a. Using the pairs of values for all 8 points, find the equation of the regression line.b. Using only the pairs of values for the 4 points in the lower left corner, find the equation of
Effects of an Outlier Refer to the Minitab-generated scatterplot given in Exercise 11 of Section 10-1 on page 458.a. Using the pairs of values for all 10 points, find the equation of the regression line.b. After removing the point with coordinates (10, 10), use the pairs of values for the remaining
White BCCs and Systolic BP White blood cell counts (BCCs) and systolic blood pressure(BP) amounts are measured for 50 randomly selected adult males (from Data Set 1 “Body Data”). The 50 pairs of measurements yield x = 125.4 mm Hg, y = 6.75 (1000 cells>mL), r = 0.055, P-value = 0.702, and yn =
Height and Weight Heights (cm) and weights (kg) are measured for 100 randomly selected adult males (from Data Set 1 “Body Data”). The 100 pairs of measurements yield x = 173.79 cm, y = 85.93 kg, r = 0.418, P-value = 0.000, and yn = -106 + 1.10x. Find the best predicted value of yn (weight)
Bear Measurements Head widths (in.) and weights (lb) were measured for 20 randomly selected bears (from Data Set 11 “Bear Measurements”). The 20 pairs of measurements yield x = 6.9 in., y = 214.3 lb, r = 0.879, P-value = 0.000, and yn = -212 + 61.9x. Find the best predicted value of yn (weight)
Arm Circumference and Height Arm circumferences (cm) and heights (cm) are measured from randomly selected adult females (from Data Set 1 “Body Data”). The 147 pairs of measurements yield x = 32.49 cm, y = 161.69 cm, r = 0.066, P-value = 0.428, and yn = 159 + 0.0916x. Find the best predicted
Correlation and Slope What is the relationship between the linear correlation coefficient r and the slope b1 of a regression line?
Best-Fit Linea. What is a residual?b. In what sense is the regression line the straight line that “best” fits the points in a scatterplot?
Notation What is the difference between the regression equation yn = b0 + b1x and the regression equation y = b0 + b1x?
Notation Different patients are randomly selected and measured for pulse rate and body temperature. Using technology with x representing the pulse rates and y representing temperatures, we find that the regression equation has a slope of -0.001 and a y-intercept of 98.3.a. What is the equation of
Vision Use the measurements of visual acuity from the right eye and left eye as listed in Data Set 5“Vision” in Appendix B. Is there sufficient evidence to support the claim of a linear correlation? Appendix B Data Sets. In Exercises 25–32, use the data in Appendix B to construct a
Audiometry Use the right ear threshold measurements and the corresponding left ear threshold measurements from Data Set 4 “Audiometry” in Appendix B. Is there sufficient evidence to support the claim of a linear correlation? Appendix B Data Sets. In Exercises 25–32, use the data in Appendix B
Blood Pressure Use all of the paired systolic and diastolic data for adult females as listed in Data Set 1 “Body Data” in Appendix B. Is there sufficient evidence to conclude that there is a linear correlation between systolic blood pressures and diastolic blood pressures of adult females?
Pulse Rate and Blood Pressure Use all of the paired pulse rates and systolic blood pressure amounts for adult females from Data Set 1 “Body Data” in Appendix B. Appendix B Data Sets. In Exercises 25–32, use the data in Appendix B to construct a scatterplot, find the value of the linear
CSI Statistics Use the paired foot lengths and heights of the 19 males from Data Set 7“Foot and Height.” Appendix B Data Sets. In Exercises 25–32, use the data in Appendix B to construct a scatterplot, find the value of the linear correlation coefficient r, and find either the P-value or the
CSI Statistics Use the paired shoe print lengths and heights of the 19 males from Data Set 7 “Foot and Height.” Appendix B Data Sets. In Exercises 25–32, use the data in Appendix B to construct a scatterplot, find the value of the linear correlation coefficient r, and find either the P-value
IQ and Weight Use all of the paired IQ scores and body weights in Data Set 9 “IQ and Brain Size” in Appendix B. Appendix B Data Sets. In Exercises 25–32, use the data in Appendix B to construct a scatterplot, find the value of the linear correlation coefficient r, and find either the P-value
IQ and Brain Volume Use all of the paired IQ scores and brain volumes in Data Set 9“IQ and Brain Size” in Appendix B. Appendix B Data Sets. In Exercises 25–32, use the data in Appendix B to construct a scatterplot, find the value of the linear correlation coefficient r, and find either the
Tree Circumference and Height Listed below are the circumferences (in feet) and the heights(in feet) of trees in Marshall, Minnesota (based on data from “Tree Measurements,” by Stanley Rice, American Biology Teacher, Vol. 61, No. 9). Is there sufficient evidence to support the claim of a linear
POTUS Media periodically discuss the issue of heights of winning presidential candidates and heights of their main opponents. Listed below are those heights (cm) from several recent presidential elections. Is there sufficient evidence to conclude that there is a linear correlation between heights
Manatees Listed below are numbers of registered pleasure boats in Florida (tens of thousands)and the numbers of manatee fatalities from encounters with boats in Florida for each of several recent years. The values are from Data Set 12 “Manatee Deaths.” Is there sufficient evidence to conclude
Weighing Seals with a Camera Listed below are the overhead widths (cm) of seals measured from photographs and the weights (kg) of the seals (based on “Mass Estimation of Weddell Seals Using Techniques of Photogrammetry,” by R. Garrott of Montana State University).The purpose of the study was to
Blood Pressure Use the paired systolic and diastolic data from the preceding exercise. Is there sufficient evidence to conclude that there is a linear correlation between systolic blood pressures and diastolic blood pressures of adult females?
Pulse Rate and Blood Pressure The table below lists pulse rates, systolic blood pressures(mm Hg), and diastolic blood pressures (mm Hg) of adult females (from Data Set 1“Body Data” in Appendix B). Is there sufficient evidence to conclude that there is a linear correlation between pulse rate and
Crickets and Temperature A classic application of correlation involves the association between the temperature and the number of times a cricket chirps in 1 minute. Listed below are the numbers of chirps in 1 min and the corresponding temperatures in F (based on data from The Song of Insects, by
Lemons and Car Crashes Listed below are annual data for various years. The data are weights (metric tons) of lemons imported from Mexico and U.S. car crash fatality rates per 100,000 population [based on data from “The Trouble with QSAR (or How I Learned to Stop Worrying and Embrace Fallacy),”
CSI Statistics Use the paired foot length and height data from the preceding exercise. Is there sufficient evidence to conclude that there is a linear correlation between foot lengths and heights of males? Based on these results, does it appear that police can use foot length to estimate the height
CSI Statistics Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and heights of males(from Data Set 7 “Foot and Height” in Appendix B). Is there sufficient evidence to conclude that there is
IQ and Weight Use the paired IQ and body weight data from the preceding exercise. Is there sufficient evidence to conclude that there is a linear correlation between IQ scores and body weights?
IQ and Brain Volume The table below lists IQ scores and brain volumes (cm3) and body weights (kg) of subjects (from Data Set 9 “IQ and Brain Size” in Appendix B). Is there sufficient evidence to conclude that there is a linear correlation between IQ scores and brain volumes?Does it appear that
Heights of Mothers and Daughters The heights (in inches) of a sample of 134 mother>daughter pairs of subjects were measured and the results are listed in Data Set 6 “Family Heights” in Appendix B. StatCrunch results are shown below. StatCrunch also indicates that the P-value is less than
Heights of Fathers and Sons The heights (in inches) of a sample of 134 father>son pairs of subjects were measured and the results are listed in Data Set 6 “Family Heights” in Appendix B.XLSTAT results are shown below. Is there sufficient evidence to support the claim that there is a linear
Cereal Killers The amounts of sugar (grams of sugar per gram of cereal) and calories (per gram of cereal) were recorded for a sample of 16 different cereals. TI-83>84 Plus calculator results are shown here. Is there sufficient evidence to support the claim that there is a linear correlation between
Bear Weight and Chest Size Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in Data Set 11 “Bear Measurements.” Results are shown in the accompanying Statdisk display. Is there sufficient evidence to support the claim that there is a
Global Warming If we find that there is a linear correlation between the concentration of carbon dioxide (CO2) in our atmosphere and the global mean temperature, does that indicate that changes in CO2 cause changes in the global mean temperature? Why or why not?
Interpreting r For the same two variables described in Exercise 1, if we find that r = 0, does that indicate that there is no association between those two variables?
Notation Twenty different statistics students are randomly selected. For each of them, their body temperature (oC) is measured and their head circumference (cm) is measured.a. For this sample of paired data, what does r represent, and what does r represent?b. Without doing any research or
Variation of Heights Use the sample data given in Exercise 3 “Heights” and test the claim that women and men have heights with the same variation. Use a 0.05 significance level.
Effects of Physical Training A study was conducted to investigate effects of physical training. Sample data from ten subjects are listed below, with all weights given in kilograms.(See “Effect of Endurance Training on Possible Determinants of VO2 During Heavy Exercise,”by Casaburi et al.,
Heights Use a 0.01 significance level with the sample data from Exercise 3 to test the claim that women have heights with a mean that is less than the mean height of men.
Heights Listed below are heights (cm) randomly selected from the sample of women and heights (cm) randomly selected from the sample of men (from Data Set 1 “Body Data” in Appendix B). Use a 95% confidence level to estimate the magnitude of the difference between the mean height of women and the
Blinding Construct the confidence interval that could be used to test the claim in Exercise 1.What feature of the confidence interval leads to the same conclusion from Exercise 1?
Blinding Among 13,200 submitted abstracts that were blindly evaluated (with authors and institutions not identified), 26.7% were accepted for publication. Among 13,433 abstracts that were not blindly evaluated, 29.0% were accepted (based on data from “Effect of Blinded Peer Review on Abstract
True? Determine whether the following statement is true: When random samples of 50 male nurses and 50 female nurses are obtained and we want to test the claim that male nurses and female nurses have different mean annual incomes, there is no need to confirm that the samples are from populations
Test Statistics Identify the test statistics that should be used for testing the following claims.a. The mean of the differences between platelet counts of husbands and platelet counts of their wives is equal to 0.b. The mean platelet count of adult Californians is equal to the mean platelet count
Hypotheses Identify the null and alternative hypotheses for using the sample data from Exercise 8 in testing the claim that for differences between right-eye measurements and lefteye measurements, those differences are from a population with a mean equal to 0.
8.Dependent or Independent? Listed below are measures of visual acuity of the right and left eyes of five subjects (from Data Set 5 “Vision” in Appendix B). Are the data dependent or independent?Right eye 60 25 20 50 30 Left eye 80 20 25 50 25
True? When we collect random samples to test the claim that the proportion of female surgeons in the United States is equal to the proportion of female surgeons outside the United States, there is a requirement that np Ú 30 and nq Ú 30.
Biodiversity Assume that a P-value of 0.1 is obtained when testing the claim given in Exercise 1 “Biodiversity.” What should be concluded about the null hypothesis? What should be the final conclusion?
4. Biodiversity When using the given sample data to construct a 95% confidence interval estimate of the difference between the two population proportions, the result of (-0.0659, 0.00591)is obtained from technology.a. Express that confidence interval in a format that uses the symbol 6.b. What
3.Biodiversity When testing the claim that p1 = p2, a test statistic of z = -1.64 is obtained.Find the P-value for the hypothesis test.

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