The following data set shows the price, in dollars, of a milkshake at five different restaurants. What are the mean absolute deviation and population standard deviation of this data set? Round to the nearest tenth if necessary. 4, 2, 9, 14, 6

mean absolute deviation =

standard deviation =

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3

60 2(x + 2) in the diagram, gef and hef are congruent. what is the value of x?

(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.)