Question

The supervisor of a waste disposal truck that collects waste in a residential neighborhood wants to estimate the mean number of cubic feet of waste collected at these residences. Suppose that the supervisor uses a sample of 30 waste pickups and knows from experience that the standard deviation is 3 cubic feet from such data. Based on the central limit theorem, with that probability can the supervisor assert that the error will be

a) less than 1 cubic foot b) less than 0.5 cubic foot?

please show work

Answer 1