Atextile 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: μ=12 against h1: μ< 12 using a random sample of n=4 specimens. calculate the p-value if the observed statistic is x¯=11.75. round your final answer to five decimal places (e. g. 98.76543).