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 H0: mu >=12 against H1: mu < 12 using a random sample of n=14 specimens. Calculate the P-value if the observed sample mean is 11.1. . Round your final answer to five decimal places (e.g. 98.76543). the decimal please.
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