Write an phrase that would translate into the following mathematical expression: 82 – 2? The difference of 8 times a number z and 2

8 less than the product of 2 and a number of z

The quotient of 8 times a number z and 2

08 times the difference of a number z and 2

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).