Q3. A study was conducted to compare the relative effectiveness of two cough medicines ( A and B) in increasing sleep level for patients. Six people with cold were given medicine A the first night and medicine B the second night. Their hours of sleep each night were as follows: Patient 1 2 3 4 6 Мean Medicine A 4.8 Medicine B 3.5 4.9 5.8 4.9 6.8 7.4 5.7666 1.1111556 4.0 5.0 4.9 5.4 6.0 4.8 0.9143304 D=A-B 1.3 0.9 0.8 1.4 1.4 0.9666 0.5391351 a. Given EA=34.6 ,EA? =205.7 ,EB=28.8 , EB? =142.42 and EAB=170.53, compute the correlation coefficient between hours of sleep for drugs A and B and tell whether the relationship is + or - ? b.Test at a=0.05 to see if mean hours of sleep for Medicine A is significantly different from that of B? c. Give 95% Confidence interval for the difference in mean hours of sleep between Medicines A and B?