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 b. What would it mean to make a Type 1 error in this situation? c. What would it mean to make a Type 2 error in this situation? d. Why might it be worse to make a Type 1 error in this scenario? 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.
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
b. What would it mean to make a Type 1 error in this situation?
c. What would it mean to make a Type 2 error in this situation?
d. Why might it be worse to make a Type 1 error in this scenario?
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.
Can you please answer parts d and e. Thank you!
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