STATISTICS

Researchers believe that yoga improves one's stamina due to increase of oxygen uptake. A random sample of 12 peOple practising yoga and a sample of 10 people that follow standard cardio exercise were taken and researchers measured their oxygen uptake (mL/kg/ min). The data are as follows: ac s n Yoga 40.2 2.5 12 Cardio 36.2 4.1 10 (a) The researchers wish to test the claim that individuals practising yoga have higher oxygen uptake than those who do standard cardio exercise. State the null and alternative hypothesis to test this claim. (b) Conduct an appropriate hypothesis test using the signicance level a = 0.05. Clearly state your conclusion. (c) Explain what is meant by Type I and Type II errors. Discuss these errors in the context of this study. (d) If a signicance level of or = 0.01 were considered for the test in (b), would your conclusion have been different? Discuss