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(a)

A mobile computer network consists of a number of computers (called nodes) that communicate with each other while moving throughout a region. A node that is out oftransmission range of the other nodes, so that it is unable to communicate, is said to be partitioned. In studies carried out at the Colorado School of Mines, 5. Kurkowski found that in a network containing 188 nodes in which destinations were chosen at random from a uniform distribution, 19 nodes were partitioned. J. Norman found that in a network containing 165 nodes whose movements mimicked those on a college campus, 30 nodes were partitioned. Let px represent the population proportion of partitioned nodes in the network that mimicked those on a college campus and let pyrepresent the population proportion of partitioned nodes in the network whose destinations were chosen at random. Find a 99% condence interval for the difference px py. Round the answers to four decimal places. The 99% confidence interval is ( , ). An article reports that the average initial rate of absorption (in g/min-cmz) for a sample of five clay bricks with ne glass particles added was 1299.8 with a standard deviation of 329.8, and the average for another sample of fteen bricks without glass particles added was 4500.8 with a standard deviation of 271.6. Let \"X represent the population mean without glass particles and let MY represent the population mean with glass particles. Find a 98% confidence interval for the difference \"X FY . Round down the degrees of freedom to the nearest integer and round the answers to three decimal places. The 98% confidence interval is ( For a sample of nine automobiles, the mileage (in 10005 of miles) at which the original front brake pads were worn to 10% of their original thickness was measured, as was the mileage at which the original rear brake pads were worn to 10% of their original thickness. The results are given in the following table. Automobile Rear 1 40.6 2 35.2 3 46.1 4 46 5 39.9 6 51.7 7 40.9 51.6 8 34.8 46.1 9 36.6 47.3 Let #X represent the population mean for rear brake pads and let MY represent the population mean for front brake pads. Find a 95% confidence interval for the difference %media:formula426.mml%. Round the answers to three decimal places. The 95% confidence interval for the difference in mean is (|:| , |:| )