Apeanut manufacturing company pays $0.01 per square inch of label used on its cylindrical peanut containers. each container has a radius of 1.5 inches and a height of 3 inches. if the label covers the lateral area of the container, how much would it cost to produce 400,000 labels?

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.