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Example 2 A manufacturer has developed a new fishing line, which he claims a mean breaking strength of 15 kilograms with a standard deviation of 0.50 kilograms. To test the hypothesis that u = 15 kilograms against the alternative that u < 15 kilograms, a random sample of 50 lines will be tested. The critical region is defined to be a x<14.9. Assume o = 15 is correct. %3D a) Find the probability of committing a type I error when H, is true. b) Evaluate B for the alternatives µ = 14.8 and µ = 14.9 kilograms

Example 2 A manufacturer has developed a new fishing line, which he claims a mean breaking strength of 15 kilograms with a standard deviation of 0.50 kilograms. To test the hypothesis that u = 15 kilograms against the alternative that u < 15 kilograms, a random sample of 50 lines will be tested. The critical region is defined to be a x<14.9. Assume o = 15 is correct. %3D a) Find the probability of committing a type I error when H, is true. b) Evaluate B for the alternatives µ = 14.8 and µ = 14.9 kilograms

A First Course in Probability (10th Edition)
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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Example 2 A manufacturer has developed a new fishing line, which he claims a mean breaking strength of 15 kilograms with a standard deviation of 0.50 kilograms. To test the hypothesis that u = 15 kilograms against the alternative that u < 15 kilograms, a random sample of 50 lines will be tested. The critical region is defined to be a x<14.9. Assume o = 15 is correct. a) Find the probability of committing a type I error when H, is true. Evaluate B for the alternatives µ = 14.8 and u = 14.9 kilograms b)
Transcribed Image Text:Example 2 A manufacturer has developed a new fishing line, which he claims a mean breaking strength of 15 kilograms with a standard deviation of 0.50 kilograms. To test the hypothesis that u = 15 kilograms against the alternative that u < 15 kilograms, a random sample of 50 lines will be tested. The critical region is defined to be a x<14.9. Assume o = 15 is correct. a) Find the probability of committing a type I error when H, is true. Evaluate B for the alternatives µ = 14.8 and u = 14.9 kilograms b)
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