A machine fills bottles of chocolate milk that should weigh 16 ounces. {This means our 'loopulation" is bottles of chocolate milk, and the 'variable' is actual weight of contents of the bottles.) There is a small amount of (unavoidable) variability from bottle to bottle, so that the standard deviation for the actual bottle weights is 0' = 0.22 ounces. If the bottles are underfilled, consumers will complain. If the bottles are overfilled, the bottling company will lose profit. Here are the actual weights of a sample of bottles of chocolate milk: 15.9 15.9 16.5 15.9 16.2 16.2 16.2 16.3 15.6 15.9 15.7 16.4 16.4 16.3 16.2 16.4 16.6 15.9 15.3 16.1 "Do these data give good reason to think that the mean weight of actual chocolate milk in the bottles is different from the label value of 16 ounces?" Question 1 (1 point) We are going to answer this question by running a hypothesis test for (use words to describe what mu is, NOT its value) p. = the mean Question 2 (1 point) STATE the appropriate null and alternative hypotheses to be studied. Question 3 (1 point) Find the value of the sample mean R = Question 4 (1 point) Find the value of the test statistic z = Question 5 (0.5 points) Find your z-score in table A. The table A entry is Question 6 (0.5 points) 1 (the table A entry) is Question 7 (1 point) Consider the appropriate alternative hypothesis for this problem. The P-value for our hypothesis test is Question 8 (1 point) Is the sample statistically significant at the 10% level?. ..._,....._... Question 9 (1 point) Is the sample statistically significant at the 5% level? Question 10 (1 point) STATE a conclusion appropriate for your hypothesis test. This means one or two complete sentences on the topics of this question. Paragraph Question 11 (1 point) What (other) assumption do we have to make about th_is sample data in order for the conclusion from the hypothesis test based on this data to be valid? Paragraph Question 12 (1 point) Extra Credit: What have you proven with this hypothesis test