Write your solutions, final answers, and conclusions on 1 yellow pad paper. Round of all answers to the third decimal place. A. Given that N = 15, X = 32, EX = 280, EX2 = 6254, can X = 32 be a representative for u = 36. Use a.05. If it is representative for the population mean, determine the range where the population mean can be found. B. With a population mean of 50 and a standard error of the mean of 1.50, determine at 99% degree of certainty if an obtained sample mean of 54 is representative of the population mean. C. Compute for the standard error of the mean with the following responses of 30 participants on a 7-point scale, measuring whether an extremist hate group should be given a permit to demonstrate (1 = strongly oppose, 7 = strongly favor). 3 3 2 1 5 4 5 5 3 3 2 2