The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°C. Past experience suggests that the standard deviation of temperature is 2°C. The water temperature measured on nine randomly chosen days, yields an average temperature of 98°F 2. a) Is there evidence that the water temperature is acceptable at α-0.05? b) What is the P-value for this test? c) What is the probability of accepting the ul hypothesis at a 0.05 if the water has a true mean temperature of 104°F?

Question
The mean water temperature downstream from a discharge pipe at a power plant cooling tower
should be no more than 100°C. Past experience suggests that the standard deviation of
temperature is 2°C. The water temperature measured on nine randomly chosen days, yields an
average temperature of 98°F
2.
a) Is there evidence that the water temperature is acceptable at α-0.05?
b) What is the P-value for this test?
c) What is the probability of accepting the ul hypothesis at a 0.05 if the water has a true mean
temperature of 104°F?

Image Transcription

The mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°C. Past experience suggests that the standard deviation of temperature is 2°C. The water temperature measured on nine randomly chosen days, yields an average temperature of 98°F 2. a) Is there evidence that the water temperature is acceptable at α-0.05? b) What is the P-value for this test? c) What is the probability of accepting the ul hypothesis at a 0.05 if the water has a true mean temperature of 104°F?

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Hypothesis Testing

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