A factory produces tables which are claimed on average to have a length of 150.0 cm. Assume the standard deviation is known to be a = 0.6 cm, and that the length of tables is normally distributed. The factory's manager wants to carry out a test of: Ho : = = 150.0 vs. H₁ < 150.0 at the 10% significance level. Determine the sample size which is necessary for the test to have 99% power if the true mean length is 149.7 cm.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A factory produces tables which are claimed on average to have a length of
150.0 cm. Assume the standard deviation is known to be a = 0.6 cm, and that
the length of tables is normally distributed. The factory's manager wants to
carry out a test of:
Ho :
= = 150.0 vs. H₁ < 150.0
at the 10% significance level. Determine the sample size which is necessary for
the test to have 99% power if the true mean length is 149.7 cm.
Transcribed Image Text:A factory produces tables which are claimed on average to have a length of 150.0 cm. Assume the standard deviation is known to be a = 0.6 cm, and that the length of tables is normally distributed. The factory's manager wants to carry out a test of: Ho : = = 150.0 vs. H₁ < 150.0 at the 10% significance level. Determine the sample size which is necessary for the test to have 99% power if the true mean length is 149.7 cm.
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