Question

5 igual Use the two-standard deviations F-interval procedure to find the required confidence interval. Assume that independent samples have been randomly selected from the two populations and that the variable under consideration is normally distributed on both populations When 16 randomly selected customers enter a single main waiting line at a bank, their waiting times have a standard deviation of 2.45 minutes. When 25 randomly selected customers enter any one of several waiting lines, their waiting times have a standard deviation of 5.12 minutes. Construct a 98% confidence interval for the ratio, 01/02, where 0 1 is the population standard deviation of the waiting times when a single line is used and o -2 is the population standard deviation of the waiting times when several lines are used to 3.791 1.229 to 4.577 0.864 to 3.251 1.229 to 2.977 1.406

Answer 1

For For Single line - 16 Si= 2.45 several line 2= 25 S2 = 5.12. 61/6.. we want . Here 98% confidence interval of ai 21 = 0.02. Now, 98% confidence interval of Buson is given by - M-1, 2-1 = F.01,15,24 = 2.889 tia, n.1, p1 = Folga, 15, 24 = 9.304 V 2. 25889 0. 304 Y) ( 14512, 14.366) 98% confidence internal of - (Jrisi2, 14.366) - (.224, 3.791) HMIL.