Isabelle is mixing red paint with blue paint to make purple paint. she adds of a fluid ounce of red to of a fluid ounce of blue to make fluid ounces of purple. how many fluid ounces of red paint will she need to make 3 fluid ounces of purple paint?

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).