Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. she recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. her results are in the table below.

(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.)