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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 upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Complete the input-output table for the linear function y = 3x. complete the input-output table for the linear function y = 3x. a = b = c =

5. write an equation for the line that is parallel to the given line and that passes through the given point. y = –5x + 3; (–6, 3)