Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 574 and a standard deviation of 105. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score between 259 and 889. The percentage of people taking the test who score between 259 and 889 is 1%.

(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.)