Math question

8:01 I LTE CZ A mail-attachment.googleusercontent.com C PAGE 2 ( 2) A physiologist has conducted a survey to test the relationship between aleckci consumption and reaction time .. anvatologis ba tondu e atico foot the pranshu between alcono: consume. A. " reactor : (a) If the physiologist obtains a correlation coefficient of +.47 from a random sample of 30 people, can it be concluded that there is a positive correlation between the amount of alcohol consumed and reaction time at a level of significance of 5%? State the Hypotheses, determine the conclusion and answer the question. (b) Based upon the sample in (a) what per cent of variability in reaction time may be accounted for by the amount of alcohol consumed? (3) An anthropologist has made a study of the linear relationship between the foot size and leg length of prehistoric animals. Using a random sample of 25 prehistoric animal fossils, a correlation coefficient of +.49 was obtained. (a) Can the anthropologist conclude that there is any correlation between the foot size and leg length of prehistoric animals at a level of significance of 1%? (b) What per cent of variability in leg length can be accounted for by the variability in foot size of the prehistoric animals? K