The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°F. Past studies has shown that the standard deviation of temperature is 2°F. The water temperature was measured on 10 randomly chosen days, and the results are shown below: 96.15 97.81 97.09 95.08 99.46 100.03 99.74 98.85 95.08 98.71   State the null hypothesis and alternative hypothesis for the above problem.  Is there evidence that the water temperature is acceptable at α = 1%? Compute the 95% confidence interval for the mean temperature of water.

A First Course in Probability (10th Edition)
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The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°F. Past studies has shown that the standard deviation of temperature is 2°F. The water temperature was measured on 10 randomly chosen days, and the results are shown below:

96.15 97.81 97.09 95.08 99.46 100.03 99.74 98.85 95.08 98.71

 

  1. State the null hypothesis and alternative hypothesis for the above problem. 
  2. Is there evidence that the water temperature is acceptable at α = 1%?
  3. Compute the 95% confidence interval for the mean temperature of water.
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