Consider the sequence of steps to solve the equation: 2(x − 4) + 6x = 9x − 10 given ⇒ 2(x − 4) + 6x = 9x − 10 step 1 ⇒ 2x − 8 + 6x = 9x − 10 step 2 ⇒ 2x + 6x − 8 = 9x − 10 step 3 ⇒ 8x − 8 = 9x − 10 step 4 ⇒ 8x − 8x − 8 = 9x − 8x − 10 step 5 ⇒ 0 − 8 = x − 10 step 6 ⇒ −8 = x − 10 step 7 ⇒ −8 + 10 = x − 10 + 10 step 8 ⇒ 2 = x + 0 step 9 ⇒ 2 = x which step in solving this equation is justified by combining like terms?

(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.)