I'm just starting to learn hypothesis testing and wondering if I am doing this question right, thanks.
The mean water temperature downstream from a power plant cooling tower discharge pipe should be no more than 104F. Past experience has indicated that the standard deviation of temperature is 2F. The water temperature is measured on 4 randomly chosen days, and the average temperature is found to be 101F.
(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 null hypothesis at α = 0.05 if the water has a true mean temperature of 110F?
Round your final answer to four decimal places (e.g. 98.7654).
a) For a I said the temperature is not acceptable because the test statistic Zo < -Zα
b) I calculated the P-value to be P(Z<Zo) = P(Z<-3) = 0.001350
c) I am confused on how to do this part, I could use some help please.