Question

Preliminary analyses indicate that you can consider the assumptions for using nonpooled​ t-procedures satisfied. Researchers obtained the following data on the number of acute postoperative days in the hospital using the dynamic and static systems. Obtain a 90​% confidence interval for the​ difference, mu 1 minus mu 2​, between the mean numbers of acute postoperative days in the hospital with the dynamic and static systems.​ (Note: x overbar 1equals7.75​, s 1equals1.42​, x overbar 2equals10.50​, and s 2equals3.56​) Dynamic 6 10 6 6 8 10 8 8 7 7 9 8 Static 8 7 13 7 13 15 The 90​% confidence interval is from nothing to nothing. ​(Round to three decimal places as​ needed.)

Answer 1

Stalid 2. = 7.75 2= 10.5 S = 1.4 S = 3.56 90% confidence interval t as is df 8.10, dt =) E 0.05, df n -1 121 6-1 2 5 .8104 ~ 6 12 90% critical value at t is 1,943. 10:05, 6 -) - toos, 6 * (7.75-105)+(1-943)2 (1:57 V na 90), confidence interval is 5,684, 0.184 7