MO22. 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: p = 12 against H:p<12 using a random sample of n= 4 specimens. Calculate the P-value if the observed statistic is x- 11.5. Round your final answer to five decimal places. Show all the necessary solutions.

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