The amount of wear on a shaft (0.0001 in) after a fixed mileage was determined for each of n = 8 internal combustion engines with lead-copper bearings and obtained = 3.72 and s = 1.25. (a) Assuming that the shaft wear distribution is normal with mean μ, use the test at the 0.05 level to test H0: μ = 3.50 against H1: μ > 3.50. (b) With σ = 1.25, what is the probability of type II error (β) of the test if the alternative were μ = 4.00?
The amount of wear on a shaft (0.0001 in) after a fixed mileage was determined for each of n = 8 internal combustion engines with lead-copper bearings and obtained = 3.72 and s = 1.25. (a) Assuming that the shaft wear distribution is normal with mean μ, use the test at the 0.05 level to test H0: μ = 3.50 against H1: μ > 3.50. (b) With σ = 1.25, what is the probability of type II error (β) of the test if the alternative were μ = 4.00?
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 amount of wear on a shaft (0.0001 in) after a fixed mileage was determined for each of n = 8 internal combustion engines with lead-copper bearings and obtained = 3.72 and s = 1.25.
(a) Assuming that the shaft wear distribution is normal with mean μ, use the test at the 0.05 level to test H0: μ = 3.50 against H1: μ > 3.50.
(b) With σ = 1.25, what is the probability of type II error (β) of the test if the alternative were μ = 4.00?
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