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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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part C D

3.
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 whether u =
0 or not, using a level
of significance a =
0.05.
(a) Derive a 95% confidence interval for
H.
(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.
Transcribed Image Text:3. 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 whether u = 0 or not, using a level of significance a = 0.05. (a) Derive a 95% confidence interval for H. (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.
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