HW3_Solution09

HW3_Solution09 - TELCOM 2120: Network Performance Fall 2009...

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TELCOM 2120: Network Performance Fall 2009 Homework 3: Solution Problem 1 (10 point) An application service provider which host corporate web pages has collected data on the time between system crashes in hours on it's host machines that run Windows NT and those that run Linux. The data is shown below. System Number of Crashes Mean Standard Deviation Windows NT 977 120.10 194.2 Linux 510 62.7 25.2 At a 95% confidence level does the data support the theory that Linux is on average more stable and reliable than Windows Vista? Compare the mean time between crashes by constructing independent confidence intervals and comparing them. For any confidence interval: + X 2 / 1 α Z n σ = 0.05, n = 977, X = 120.10, = 194.2 + X 2 / 05 . 0 1 Z n = 120.10 + 975 . 0 Z 977 194.2 where 975 . 0 Z = 1.96 = (107.92, 132.28) 95% C.I. for Linux: = 0.05, n = 510, X = 62.7, = 25.2 + X 2 / 05 . 0 1 Z n = 62.7 + 975 . 0
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HW3_Solution09 - TELCOM 2120: Network Performance Fall 2009...

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