The following five observations are observed repair times for an airplane engine: 3.6, 23.3, 31.5, 17.9, 4.0. The following questions can be answered independently of each other.
The following five observations are observed repair times for an airplane engine: 3.6, 23.3, 31.5, 17.9, 4.0. The following questions can be answered independently of each other.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![The following five observations are observed repair times for an airplane engine:
3.6, 23.3, 31.5, 17.9, 4.0.
The following questions can be answered independently of each other.
(a) Assume that the data come from the gamma distribution with mean equal to 10. Use
the method of moments to estimate the shape and scale parameters. [Hint: Write
E(X²) as a function of E(X) and 2.]
(b) Use the Kolmogorov-Smirnov test with type I error 0.10 to assess the hypothesis "the
data come from the gamma distribution with shape parameter equal to 2 and scale
parameter equal to 0.2".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29082b7a-ec19-42e6-af32-623bfd490a2a%2F3678857d-5533-4734-a213-84d960506e60%2F0rzdsz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following five observations are observed repair times for an airplane engine:
3.6, 23.3, 31.5, 17.9, 4.0.
The following questions can be answered independently of each other.
(a) Assume that the data come from the gamma distribution with mean equal to 10. Use
the method of moments to estimate the shape and scale parameters. [Hint: Write
E(X²) as a function of E(X) and 2.]
(b) Use the Kolmogorov-Smirnov test with type I error 0.10 to assess the hypothesis "the
data come from the gamma distribution with shape parameter equal to 2 and scale
parameter equal to 0.2".
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