Marcus' school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 adult tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 adult tickets and 5 child tickets. What is the price each of one child ticket?

(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.)