In estimating the mean score on a fitness exam, we use an original sample of size n=30 and a bootstrap distribution containing 5000 bootstrap samples to obtain a 95% confidence interval of 67 to 73. a change in this process is described below. if all else stays the same, which of the following confidence intervals (a, b, or c) is the most likely result after the change: using the data to find a 99% confidence interval a. 66 to 74 b. 67 to 73 c. 67.5 to 72.5

(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.)