Afountain launches a stream of water directly out of a pool at a vertical speed of 48 feet per second. the water shoots up and then falls back into the pool. the height, h, of the water at time t, in seconds, is given by the equation h = –16t 2 + 48t. the greatest height of the water above the pool is

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).