Express each of the following problems algebraically (use n as the unknown number and create an equation from the problem) 1. 15 less than the product of 6 and a number is 39 2. ten times the sum of a number and 5 is 150 3. the product of 9 and a number is 99

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).