You are interested in studying the difference, in minutes, between the timetabled landing time of a plane and its actual landing time. The difference, in minutes, is recorded for 8 days as follows: -10.8, 9.1, -1.2, 24.4, 0.1, -0.3, -2.5, -6.8 You model these differences as independent with a N(u, o) distribution, where o? is known to be equal to 4. The goal is to decide whetheru= 0 or not, using a level of significance a = 0.05. (a) Derive a 95% confidence interval for µ. (b) Derive the form of the likelihood ratio test for this problem. (c) What can be concluded about the value of u? (d) Calculate the p-value associated with this test. 3.

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