2. In any type of food packaging plant it is key to ensure that every single packaged unit has the exact same amount of whatever food item it contains. If the nal packet contains less than it is promised then the customer is le unhappy while an overlled nal packet is wasteful from the producers point of view. A potato chip packaging plant is unsure if their current Packaging system is working as intended and have brought you in to statistically test this. You collect the next 50 bags of potato chips that are packaged and record the weight of each. Over these 50 bags (which you can assume are a random sample) you estimate a sample average weight of n chips = 13.1 02 With a sample standard deviation of amps = D. 38, you don't know the population standard deviation. These bags are supposed to weigh an average of 13 oz, not more and not less. Your task is to evaluate the validity of this claim. a. (2 points) Set up the null hypothesis Ho and the alternative hypothesis HA for this test. b. (1 point) Calculate the test statistic for this test. c. (1 point) Find the appropriate t-value if you want to carry out this test at the 95% condence level. d. (2 points) Evaluate the result of this hypothesis test. What can you conclude about the cun'ent performance of the packaging system