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 n = 4 specimens. Calculate the P-value if the observed statistic is = 11.5. Suppose that the distribution of the sample mean is approximately normal. Round your final answer to five decimal places (e.g. 98.76543).

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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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 n = 4 specimens.
Calculate the P-value if the observed
statistic is = 11.5.
Suppose that the distribution of the
sample mean is approximately normal.
Round your final answer to five decimal
places (e.g. 98.76543).
Transcribed Image Text: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 n = 4 specimens. Calculate the P-value if the observed statistic is = 11.5. Suppose that the distribution of the sample mean is approximately normal. Round your final answer to five decimal places (e.g. 98.76543).
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