A manufacturer has developed a new fishing line, which the company claims has a mean breaking strength of 15 kilograms with a standard deviation of 0.5 kilogram. 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 %3D defined to be X < 14.9. Find the probability of committing a type | error.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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23.
A manufacturer has developed a new fishing line, which the
company claims has a mean breaking strength of 15 kilograms with
a standard deviation of 0.5 kilogram. 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 X < 14.9. Find the probability of committing a type I
error.
0.0793
O 0.1793
O 0.3793
O None of the Choices
O 0.2793
Transcribed Image Text:A manufacturer has developed a new fishing line, which the company claims has a mean breaking strength of 15 kilograms with a standard deviation of 0.5 kilogram. 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 X < 14.9. Find the probability of committing a type I error. 0.0793 O 0.1793 O 0.3793 O None of the Choices O 0.2793
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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