Question

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 95.06   99.46    100.03   99.74    98.85    95.08    98.71

a. State the null hypothesis and alternative hypothesis for the above problem.

b. Is there evidence that the water temperature is acceptable at α = 1%?

c. Compute the 95% confidence interval for the mean temperature of water.

Answer 1