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Guldens mustard fills 12-ounce containers with mustard using a filling machine. From many years of experience with the machine, Gulden knows that the amount dispensed

Guldens mustard fills 12-ounce containers with mustard using a filling machine. From many years of experience with the machine, Gulden knows that the amount dispensed in each container follow a normal distribution, with a standard deviation of 0.15oz. A sample of 60 containers filled last hour revealed the mean amount per container to be 11.98oz. Does this suggest that the mean amount dispensed is different from 12 ounces?Use the 0.05 significance level.

  1. State the null and alternate hypothesis:
  2. What is the probability of a type I error?
  3. Give the formula for the test statistic.
  4. State the decision rule:
  5. Determine the value of the test statistic.
  6. What is your decision regarding the null hypothesis?
  7. Interpret, in a single sentence, the result of the statistical test.

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