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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b4e9d0e-4a57-4ab9-b2a3-c39796c93c0d%2F4a84669f-3d0a-44fd-8e3c-8ab485a53d87%2Fa0nvp_processed.png&w=3840&q=75)
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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