Completely solve and answer each problem. Use technology when directed to. Submit completed assignment as a document or spreadsheet file in one of the following formats [.pdf .doc .docx .xls. xlsxil Problem 1 [15 point: possible - 3 points for each part! a. 'Mo hypotheses with correct symbols and numbers b. Correct application of type 1 error to this situation c. Correct application of type 2 error to this situation d. Expianation of why part b could be worse than part c e. Correct interpretation of the decision "fail to reject the null" in the context given Problem 2 [15 points possible: a. Two hypotheses with correct symbols and numbers [-4.5 points: b. automatically graded [1.5 points} c. Automatically graded [-4.5 points: d. Correct interpretation of the decision in part c in the oontext given [4.5 points} A machine in a factory is supposed to fill vials with approximately 50mL of a liquid. The quality control manager wants to test whether the machine is working properly. If the machine is found to be over or under-filling then the assembly line will need to be shut down so that it can be re-calibrated. a. State the Null and Alternative Hypotheses to the scenario using the correct symbols Note: You can access special symbols by clicking on the 2 button. Edit * Insert * Formats B IY X, x A A E P b. What would it mean to make a Type 1 error in this situation?o. 'I''lat would it mean to make a Type 2 error in this situation? d. Wiw might it be Iworse to make a Type 1 errorin this scenario? x5 e. Suppose that we fail to reject the null hypothesis. Write a conclusion statement in the context of the problem. Assume no errors were made. The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this gure significantly. A random sample of 15-13 Americans is administered the acupuncturists treatment and 62 report experiencing migraines. a. State Hypotheses to the scenario using the oorrect symbols. Edits Insert ' Formats ' E I H K: K' i - A .