All work should be presented in a single Word document. Data work should all be placed into a single Excel file with primary results clearly presented in the document. 1. Let X equal the weight (in grams) of a grape-flavored Jolly Rancher. Denote the median of X by m. We shall test Ho: m = 5.900 against H1: m > 5.900. A random sample of size n = 25 yielded the following ordered data: 5.625, 5.665, 5.697, 5.837, 5.863, 5.870, 5.878, 5.884, 5.908, 5.967, 6.019, 6.020, 6.029, 6.032, 6.037, 6.045, 6.049, 6.050, 6.079, 6.116, 6.159, 6.186, 6.199, 6.307, 6.387. (a) Use the sign test to test the hypothesis. (b) Use the Wilcoxon test statistic to test the hypothesis. (c) Use a t test to test the hypothesis. (d) Write a short comparison of the three tests