Joshua wants to add a new rectangular room to his house, but
the total area of his house cannot
exceed 325 square feet.
What are some different room sizes
(length and width) that Joshua can
use to build this room?
Show your work with diagrams,
calculations, and a written
explanation.

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).