A honey manufacturer is interested in determining if the average pounds of honey produced in a day significantly decreases with the introduction of a wasp to the hive. Historical data tracking the honey production from the bees found that the bees produced an average of 13 lbs of honey in a single day without a wasp inside the hive. Researches conducted an experiment at 60 different honey manufacturing plants and observed the honey production after allowing a wasp to infiltrate the hive. They found that the bees produced an average of 8 pounds of honey in a day with a sample standard deviation of 2 pounds. Let represent the true mean honey production in a day after the introduction of a wasp to the hive. Perform this test at a significance level of = 0.05. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in context of the problem). (b) Calculate the test statistic. (c) Calculate the critical value. (d) Draw a picture of the distribution of the test statistic under H0. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at the = 0.05 level and state your conclusion.