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) In a recent study conducted by Pulse Measurement Asia, their results show that a higher percentage of females have normal resting pulse rate compared with males. Dr. Castillejo is interested to know whether this result also applies among gym members. Use the R commander output below to test Dr. Castillejo's claim. 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. Note: The following R commander output defines the difference to be Female - Male. R COMMANDER OUTPUT 2-sample test for equality of proportions with continuity correction data: . Table X-squared = 1.0088, df = 1, p-value = 0.3152 alternative hypothesis: two.sided 95 percent confidence interval: -0.1286700 0.4964861 sample estimates: prop 1 prop 2 0.6666667 0.4827586

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) In a recent study conducted by Pulse Measurement Asia, their results show that a higher percentage of females have normal resting pulse rate compared with males. Dr. Castillejo is interested to know whether this result also applies among gym members. Use the R commander output below to test Dr. Castillejo's claim. 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. Note: The following R commander output defines the difference to be Female - Male. R COMMANDER OUTPUT 2-sample test for equality of proportions with continuity correction data: . Table X-squared = 1.0088, df = 1, p-value = 0.3152 alternative hypothesis: two.sided 95 percent confidence interval: -0.1286700 0.4964861 sample estimates: prop 1 prop 2 0.6666667 0.4827586

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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