The volume of one of the buildings in the downtown area is 589,824 cubic meters. The building is 8 times as tall as the radio tower on top of the building. The square base has a side that is 24 times 4 meters less than the height of the radio tower. How tall is the radio tower?

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).