Aerobic fitness, measured by the ability to consume oxygen, relates to the heart

Question

Aerobic fitness, measured by the ability to consume oxygen, relates to the heart, blood vessels, and lungs working together to deliver oxygen-rich blood to the muscles during exercise. A high 1. level of aerobic fitness is associated with lower risks of several diseases, including high blood pressure and coronary heart disease. In a study of aerobic fitness, a sample of 31 men involved in a physical fitness course at a university was randomly selected. The measurements included oxygen: the oxygen intake rate (ml per kg body weight per minute), RunPulse: the heart rate while running. Our goal is to examine whether oxygen consumption is dependent upon the heart rate while running The following is part of the SAS output: Parameter Estimates Standard Parameter Estimate Error t Value Pr itl Variable DF Intercept RunPu lse 82.45825 -0.20680 15.04386 0.08852 5.48 -2.34 .0001 0.0266 Suppose that previous studies indicate that oxygen consumption decreases with an increasing heart rate while running. Does the study support this finding? Write down the hypotheses, calculate the test statistic and p-value, and state your conclusion in terms of the problem.

Explanation / Answer

Answer:

yes study support this finding

because slope=m=-0.20680

Null hypothesis:H0:slope=0

Alternative Hypothesis H1:slope not =0

test statistic=coefficint/std derror

=-0.20680/0.08852

t =-2.34

p=0.0266

p<0.05

reject Nulll hypothesis

Accept alternative hypothesis.

oxygen consumption is linearly dependent on heart rate while running.

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