Data on 20 randomly selected athletes was obtained concerning their cardiovascul

Question

Data on 20 randomly selected athletes was obtained concerning their cardiovascular fitness (measured by time to exhaustion running on a treadmill) and performance in a 20-km ski race. Both variables were measured in minutes and a regression analysis was performed Ski = 87-1.8*Treadmill Coefficients Estimate Std. Error 871 0.74 -1.8 0.72 Treadmill Is there sufficient evidence to conclude that there is a linear relationship between cardiovascular fitness and ski race performance? The test statistic is The p-value is betweern At the 5% significance level, we select a e the null hypothesis and conclude that there s s e t evidence to conclude hat there is a linear relationship between Preview and an answer cardiovascular fitness and ski race performance.

Explanation / Answer

Test Statistic = -1.8/0.72 = -2.5

P value = P(t<-2.5)+P(t>2.5)

P value = 0.0223

At 5% Significance level, we reject the null hypothesis and conclude that there is sufficient evidence pf linear relationship

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