16. You are given a piece of sheet metal that is twice as long as it is wide and has an area of 800 m². Find the dimensions of the rectangular box that would
contain a maximum volume if it were constructed from this piece of metal by
cutting out squares of equal area at all four corners and folding up the sides.
The box will not have a lid. Give your answer correct to one decimal place.​

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)