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Context: One-Sample t-test
A factory produces bags of flour with a target mean weight of \(1\) kg. A quality control manager performs a one-sample t-test to check if the machine is calibrated correctly.
  • \(H_0: \mu = 1\) (The machine is working correctly).
  • \(H_1: \mu \neq 1\) (The machine is malfunctioning).
  1. Describe a Type I error in this specific context. What is the consequence for the factory?
  2. Describe a Type II error in this specific context. What is the consequence for the customers?

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