A machine fills bottles of chocolate milk that weigh 14 oz. with = 0.18 oz.

Write the null and alternative hypotheses for the test that the machine fills bottles of chocolate milk that do not weigh 14. oz. (b) Suppose a random sample of these chocolate milk machines yields n = 10 and X = 14.2. Use this information to calculate the test statistic (c) Based on your answer to part (b), calculate the pvalue for this test. Sketch the standard normal distribution and shade the area that represents this p value (d) Construct the 99% confidence interval for . Interpret what the 99% confidence interval represents (e) Test the null hypothesis that is constructed in part (a) at the 1% level. What do you conclude? How did you come to this conclusion?