4. A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho : µ =12 against H1:µ< 12, using a random sample of four specimens. What is the type I error probability if the critical region is defined as x < 11.5 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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4. A textile fiber manufacturer is investigating a
new drapery yarn, which the company claims
has a mean thread elongation of 12 kilograms
with a standard deviation of 0.5 kilograms. The
company wishes to test the hypothesis Ho : µ
=12 against H, :µ < 12, using a random sample
of four specimens. What is the type I error
probability if the critical region is defined as x <
11.5 kilograms?
Transcribed Image Text:4. A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Ho : µ =12 against H, :µ < 12, using a random sample of four specimens. What is the type I error probability if the critical region is defined as x < 11.5 kilograms?
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