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) A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature...

  1. ) A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135℉ . To test this claim, you randomly select a sample of 32 systems and find that the mean activation temperature is 133℉ . Assume that the population standard deviation is 3.3℉ . At α=0.05, do we have enough evidence to reject the manufacturer’s claim? (Please write your answers in complete sentences.)
  2. Identify the claim and state the Null and Alternate Hypotheses.
  3. Find the critical values and identify the rejection regions.
  4. State whether you are using the t-test or the z-test. (Give reasons for your answer)
  5. Decide whether to reject or fail to reject the null hypothesis.
  6. Interpret the decision in the context of the problem. Assume the population is normally distributed.

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