A college has over 5,000 students, 10, percent of which are left-handed. A new lecture hall is being planned that will seat 300 students, and college officials want to be sure there are enough left-handed desks. Suppose we randomly select groups of 300 students from this college. What are the mean and standard deviation of the number of left-handed students in each group of 300? You may round your answers to the nearest tenth.

(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.)