Aladder leans against the wall of a building. there is a fence between the
base of the ladder and the building that is 2.4 m high. the ladder just touches
the top of the fence. the base of the ladder is 1.5 m from the fence and the
building is 2 m from the fence. how high above the ground does the top of the
ladder touch the building?

(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.)