An anthropologist wishes to estimate the average height of men for a certainrace of people. if the population standard deviation is assumed to be 2.5 inches andif she randomly samples 100 men, find the probability that the di↵erence between thesample mean and the true population mean will not exceed 0.5 inch. (hint: use the factthat ifx⇠n(μ, 2),then (xμ)/=z⇠n(0,1))

(05.02)a farmer has decided to divide his land area in half in order to plant soy and corn. calculate the area of the entire area so he knows how much soil is needed. a parallelogram with a height of 6 yards and side length 9 yards. the height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. rhombus is split into a soy half and a corn half. each bag of soil covers 40 square yards. how many bags should the farmer purchase?