1. We want to test whether the median weight (in grams) of a Hershey's grape-flavored Jolly Rancher is greater than 5.900 g. A random sample of size 25 yielded the following 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. Use the p-value approach, present all steps of the testing procedure. b) Use the Wilcoxon test to test the hypothesis. Use the p-value approach, present all steps. c) Use a t-test to test the hypothesis. Use the p-value approach, present all steps. d) Write a comparison of the three tests. 1. We want to test whether the median weight (in grams) of a Hershey's grape-flavored Jolly Rancher is greater than 5.900 g. A random sample of size 25 yielded the following 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. Use the p-value approach, present all steps of the testing procedure. b) Use the Wilcoxon test to test the hypothesis. Use the p-value approach, present all steps. c) Use a t-test to test the hypothesis. Use the p-value approach, present all steps. d) Write a comparison of the three tests