Abackyard is 80.5 ft long and 55 ft wide. in order to install a pool, the yard needs to be reduced by a scale of 1/5. what is the area of the reduced yard? if necessary, calculate your answer to the nearest hundredths and round your answer to the nearest tenths place (type only the number and decimal).

(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.)