Brewing Tea ~ A tea manufacturer claims that their green tea bags contain 2.7 grams of tea per bag. The new factory manager tests this claim by randomly sampling 9 tea bags and weighing their contents. If the mean weight of the sample bags is less than 2.3 grams, then the machines used to fill the tea bags will be investigated and repaired. Repeated testing has determined that the weight of these tea bags is normally distributed and has a known standard deviation of 0.5 grams.The testable hypotheses in this situation are 0:=2.70:=2.7 vs. :<2.7:<2.71. Identify the consequences of making a Type I error. A. The machine will not be investigated and repaired when it needs to be. B. The machine will be investigated and repaired when it does not need to be. C. The machine will not be investigated and repaired when it does not need to be. D. The machine will be investigated and repaired when it needs to be. 2. Identify the consequences of making a Type II error. A. The machine will not be investigated and repaired when it needs to be. B. The machine will be investigated and repaired when it needs to be. C. The machine will not be investigated and repaired when it does not need to be. D. The machine will be investigated and repaired when it does not need to be. 3. Using the decision rule described above, what is the chance of making a Type I error? Round your answer to four decimal places. 4. Using the same decision rule, what is the power of this test if the actual mean strength of manufactured tea bags is 2.55 per cup? Round your answer to four decimal places