In physiology, an objective measure of aerobic fitness is how efficiently the body can absorb and use oxygen (oxygen consumption). A physiologist, Dr. Castillejo, conducted a research wherein subjects participated in a predetermined exercise run of 1.5 miles. Measurements of oxygen consumption as well as several other variables such as age, gender, runtime, resting and maximum pulse rates, and weight were recorded from 50 randomly selected gym members. Dr. Castillejo is interested in determining whether any of these other variables can help predict oxygen consumption. She believes that a possible link between these factors will help her determine how to improve the health of her gym members. Help Dr. Castillejo in developing a proposal for the improvement of her gym members' health condition. The variables are described below. gender - either male or female runtime - time to run 1.5 miles (in min) age - age of the gym member in years weight - weight of the gym member (in kg) oxygen consumption - measure of the ability to use oxygen in the blood stream (in ml/min) rest pulse - resting pulse rate (in bpm) maximum pulse - maximum pulse rate during the run (in bpm) A low resting heart rate can mean a high degree of physical fitness, which is associated with reduced rates of cardiac events like heart attacks. By working out regularly in the gym, the heart becomes more efficient, pumping the lowest amount of blood one needs when in a relaxed state. Normal resting heart rate for adults ranges from 60 to 100 beats per minute but a well-trained athlete can have a normal resting heart rate as low as 40 beats per minute. Dr. Castillejo wants to know if her gym members have attained this average resting heart rate of athletes. Use the R commander output below to address Dr. Castillejo's concern. Write a brief report about the analysis by identifying the set of hypotheses to be tested, the appropriate test to use, and implications and recommendations of/from the conclusions. R COMMANDER OUTPUT R COMMANDER OUTPUT Shapiro-Wilk normality test data: restpulse One Sample t-test data: restpulse W = 0.97057, p-value = 0.24418 t = 17.41684, df = 49, p-value < 0.00001 R COMMANDER OUTPUT Wilcoxon signed rank test with continuity correction data: restpulse V = 1275, p-value < 0.00001

In physiology, an objective measure of aerobic fitness is how efficiently the body can absorb and use oxygen (oxygen consumption). A physiologist, Dr. Castillejo, conducted a research wherein subjects participated in a predetermined exercise run of 1.5 miles. Measurements of oxygen consumption as well as several other variables such as age, gender, runtime, resting and maximum pulse rates, and weight were recorded from 50 randomly selected gym members. Dr. Castillejo is interested in determining whether any of these other variables can help predict oxygen consumption. She believes that a possible link between these factors will help her determine how to improve the health of her gym members. Help Dr. Castillejo in developing a proposal for the improvement of her gym members' health condition. The variables are described below. gender - either male or female runtime - time to run 1.5 miles (in min) age - age of the gym member in years weight - weight of the gym member (in kg) oxygen consumption - measure of the ability to use oxygen in the blood stream (in ml/min) rest pulse - resting pulse rate (in bpm) maximum pulse - maximum pulse rate during the run (in bpm) A low resting heart rate can mean a high degree of physical fitness, which is associated with reduced rates of cardiac events like heart attacks. By working out regularly in the gym, the heart becomes more efficient, pumping the lowest amount of blood one needs when in a relaxed state. Normal resting heart rate for adults ranges from 60 to 100 beats per minute but a well-trained athlete can have a normal resting heart rate as low as 40 beats per minute. Dr. Castillejo wants to know if her gym members have attained this average resting heart rate of athletes. Use the R commander output below to address Dr. Castillejo's concern. Write a brief report about the analysis by identifying the set of hypotheses to be tested, the appropriate test to use, and implications and recommendations of/from the conclusions. R COMMANDER OUTPUT R COMMANDER OUTPUT Shapiro-Wilk normality test data: restpulse One Sample t-test data: restpulse W = 0.97057, p-value = 0.24418 t = 17.41684, df = 49, p-value < 0.00001 R COMMANDER OUTPUT Wilcoxon signed rank test with continuity correction data: restpulse V = 1275, p-value < 0.00001

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 22EQ

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