John is filling a bathtub that is 18 inches deep. he notices that it takes two minutes to fill in the tub with three inches of water. he estimates it will take 10 more minutes for the water to reach the top of the tub if it continues at the same rate. is he correct? explain

(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.)