Carol opened 20 different bags of the same kind of candy and recorded the colors and their frequencies, as shown in the table below.

color red blue green purple

frequency 10 16 28 18

match the correct value to the given relative frequency, rounded to the nearest percent.

the relative frequency for red: ?

(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.)